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2 Billion in Numbers in numbers, generally speaking, is 2000000000. In figures, 2000000000 is written with thousand separators as 2,000,000,000.you get 1,000,000,000 = one billion!2 Billions = 20,000 lakhs.
Table of Contents
HOW IS billion written in numbers?
you get 1,000,000,000 = one billion!
What is the value of 2 billion?
2 Billions = 20,000 lakhs.
How do you write 1 billion as a decimal?
1 billion can be written as 1,000,000,000 or represented as 109 . How would 2 billion be represented?
How many millions is 1 billion?
A billion is a number with two distinct definitions: 1,000,000,000, i.e. one thousand million, or 109 (ten to the ninth power), as defined on the short scale.
How do you write billion in short?
…
Abbreviations for “Billion”
- B (also b or b.)
- BN.
- bn.
- bil(.)
- bill(.)
- bln(.)
Wikipedia
Abbreviations for “Billion”
Billion is commonly abbreviated in financial documents or letters. In these documents, billion is abbreviated as:
B (also b or b.)
B.N
billion
bil (.)
Invoice(.)
billion (.)
It can also be abbreviated as bil. The most common abbreviation in business is B.
What does billion mean?
The word “billion” is defined as the number 1,000,000,000. In the plural, as in “billions”, it refers to multiples of 1,000,000,000. In its simplest sense, a billion means “one thousand million” or “one thousand thousand thousand.” The word “billion” is most commonly used in reference to money, but it is also often overused. The word “billion” can be paired with the suffix “-aire” to form the word billionaire, indicating a person worth at least one billion dollars.
examples
She won a billion dollars in the lottery.
He has billions of coupons in his junk drawer.
The founder of the company later became a billionaire.
She just sold billions of dollars worth of stock.
Is it B or BB for billions?
Unlike the abbreviation for million, which uses two M’s to avoid confusing the number with the Roman numeral M, billion is abbreviated with just a B.
How do you abbreviate billion dollars?
Abbreviating one billion dollars is done using the abbreviations above. In general, the abbreviation with a B is preferred in finance. So a billion dollars is written as 1 billion dollars.
Note that when writing about large amounts of money, the words “billion” or “billion” are often omitted entirely, as are redundant zeros. It is then up to the reader to pay attention to the context, with the document giving the place value once at the beginning and not again.
Examples of abbreviating billions
The bank’s budget is set at $32 billion. (The bank’s budget is set at $32,000,000,000).
We will commit $10 billion for expansion operations.
The other $22 billion has yet to be determined.
The price of the house is $10.3 billion. (The price of the house is $10,300,000,000).
We donated $1 billion to the charity.
We sold a b. books and. at 2 B.C. magazines.
synonym for billion
If you want to avoid the word billion altogether, you won’t have much luck. The only other option is to write your entire number numerically or even convert it to scientific notation.
The word billion is often used as an exaggeration, then it’s a little easier to substitute. For example:
He has billions of cars! / He has several cars.
She eats a billion apples every day. / She eats quite a lot of apples every day.
There were a billion flies in front of our house. / There were countless flies in front of our house.
When to use the abbreviation
The word “billion” is not a commonly abbreviated word, but its abbreviations still have their place. An abbreviation for billion is most commonly used in financial documents and paperwork. Replace the word “billion” with “bil” or “bb” to avoid redundant language but still be specific about how big numbers you’re working with. Other numbers like “thousand” have more interesting abbreviations like “k”. The three letters “Bil” are clearly defined as billion, so you shouldn’t run into any problems.
You can also use the abbreviation “bil” in casual conversation. You may hear something along the lines of “He lost a few bills buying this company” or perhaps “How many bills is this person worth?” This acronym works for both spoken and written dialogue and is easily recognizable.
How many zeros are in a billion?
How many millions is 2 billion?
| Billion [bn] | Million [mn] |
|---|---|
| 1 | 1000 |
| 2 | 2000 |
| 3 | 3000 |
| 4 | 4000 |
Wikipedia
How to convert Billions to Millions (Billions to Millions) If you use our billions to millions conversion tool, you will know that one billion equals 1000 millions. So to convert billions to millions we just need to multiply the number by 1000. We will use a very simple conversion formula from billions to millions for this. Please note the calculation example below. Convert 1 billion to million ⇒ 1 billion = 1 × 1000 = 1000 million
What is a billion unit of measure? Billion is a unit of numbers. In general it is a word used for 1e+9 numbers.
What is the symbol of trillion? The symbol of trillion is bn. That means you can also write a billion as 1 billion.
What is a million unit? Million is a unit of measure for number. Generally it is a word used for 1000000 numbers.
What is the symbol of million? The symbol of million is mn. This means that you can also write a million as 1 minute.
Conversion table from billions to millions billion [ billion ] million [ million ] 1 1000 2 2000 3 3000 4 4000 5 5000 6 6000 7 7000 8 8000 9 9000 10 10000 100 100000 1000 1000000
What does 2e9 mean?
2e+09 is an exponential notation. It means 2 times ten to the ninth power, or 2000000000.
Wikipedia
Actually, I was wrong after checking; The browsers I’ve tried (Chrome, Firefox, Safari, and Opera) seem to ignore values set in CSS using scientific notation. So it doesn’t matter at all (it’s treated as if the z-index wasn’t set at all with a default z-index of 0), but the intention was probably to position the error above all other content on the page. The CSS standardization mailing list is currently discussing whether e-notation should be allowed in CSS; It was mentioned in the discussion that some browsers already support this, but the ones I’ve tried don’t seem to do so.
You can test the support with the following test case. If scientific notation is supported, the green div should be on top; if it’s not supported, so by default z-index: 0 , it will be at the bottom, and if it only parses the mantissa and not the exponent (which I would imagine on certain buggy browsers) it would be in the middle.
How many commas are in a billion?
| Name | Number of Zeros | Written Out |
|---|---|---|
| Billion | 9 | 1,000,000,000 |
| Trillion | 12 | 1,000,000,000,000 |
| Quadrillion | 15 | 1,000,000,000,000,000 |
| Quintillion | 18 | 1,000,000,000,000,000,000 |
Wikipedia
Whether you recently won the lottery and want to make sure your bank account has the right number of zeros, or you’re just trying to find an easy way to understand how many zeros are in large numbers (over a million) exist, this is the article for you.
We’re going to break down a simple trick to finding how many zeros in a large number and provide a handy chart for easy reference.
How many zeros in a trillion? How big numbers are made
The digit zero (0) is important for counting large numbers. The larger the number, the more zeros it has.
Starting at 1,000, large numbers have groups of zeros in them. Each time you jump to the next number level, another 0 is added.
The number thousand has three zeros (1,000). The number 10,000 has four zeros (10,000). The number hundred thousand has five zeros (100,000). The number one million has six zeros (1,000,000).
Whenever you have a complete set of three zeros, like one million (1,000,000), use a comma to separate them.
How many zeros in a million? How many zeros in a billion? reference table
This is what numbers from 100,000 to 1,000,000,000,000,000,000,000,000,000,000 (Nonmillion) look like when written with the right sets of three zeros.
Name Number of Zeros Written Out One Thousand 3 1,000 Ten Thousand 4 10,000 One Hundred Thousand 5 100,000 One Million 6 1,000,000 Billion 9 1,000,000,000 Trillion 12 1,000,000,000,000 Quadrillion 15 1,000,000,000,000,000 Quintillion 18 1,000,000,000,000,000,000 Sextillion 21 1,000,000,000,000,000,000,000 Septillion 24 1,000,000,000,000,000,000,000,000 Octillion 27 1,000,000,000,000,000,000,000,000,000 Nonillion 30 1,000,000,000,000,000,000,000,000,000,000
How to find out how many zeros are in a million
Are you trying to figure out how many zeros should be in a large number?
Any large number always adds a zero to the immediately preceding number, starting at 1,000.
1,000 has three zeros. This means that the next largest number, ten thousand (10,000), has four zeros.
The same is true when you go into the millions. A million has six zeros (1,000,000). Ten million has seven zeros (10,000,000). One hundred million have eight zeros (100,000,000).
When jumping from a large number to the next label (e.g. from a million to a billion), add a group of three zeros. A million has six zeros (1,000,000) while a billion has nine zeros (1,000,000,000).
Summary: How many zeros in a billion?
Zero is the most important digit for creating large numbers. Large numbers over 100,000 have groups of three zeros separated by commas.
A million has six zeros, a billion has nine, and a trillion has 12.
What’s next?
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What does 1 billion dollars look like in numbers?
The USA meaning of a billion is a thousand million, or one followed by nine noughts (1,000,000,000).
Wikipedia
We are used to hearing big numbers like a billion in the news frequently (often when the budget deficit is mentioned). However, it is very difficult to imagine what these huge numbers really mean.
Figuring out how big these numbers are becomes more difficult because the United States and the United Kingdom traditionally meant different amounts when each said a billion.
The old British meaning of a billion was a million million, or a one followed by twelve zeros (1,000,000,000,000).
In the US, a billion means a thousand million, or a one followed by nine zeros (1,000,000,000).
In this country we increasingly use the US meaning of a billion for these large numbers and a trillion for the old British meaning of one followed by twelve zeros. The British government has used the American meaning of billion for the numbers it issues since 1974.
Even the smaller American billion is a huge number and hard to imagine, so we tried to find a way to show how big it is using some everyday objects. The object we chose was a cheesy wotsite.
We then wanted to describe how much space a billion cheesy Wotsits would take up, so we decided to calculate how many white vans it would take to transport that many Wotsits if we simply filled the backs of the vans with loose Wotsits. (You’d need more transporters if the wotsits were bagged because you’d have to plan for packing space.)
(For every American who reads, a cheesy Wotsit is like a Cheeto).
What’s the answer?
We estimate that you would need at least 772 white vans to move 1 billion wotsits.
How did we solve this? We had to guess a few things.
First we had to calculate roughly how much space there is in the back of a white van. We think that’s a little less than twelve cubic meters.
Then we measured a couple of wotsits and decided they were about an inch long and about an inch in diameter so we could work out how much space each one took up.
What we found was that most Wotsits are not straight, they are usually curved and therefore don’t pack very well. We estimated that when packed up, a Wotsit needs about half its own size to make room.
Dividing the space inside the van by the space needed for one Wotsit told us how many Wotsits we could fit in a van (a little less than 1.3 million), and dividing one billion by that number yielded just over 772 white vans full of Wotsits.
We have seen other websites trying to visualize large numbers using rice instead of wotsits. However, we found that stuffing the back of a white van with rice would likely break the van’s axle.
Since writing this, we’ve contributed the following simple and effective example by Jess Monck.
1 million seconds is about 11.6 days
1 us billion seconds is approximately 32 years
1 UK billion seconds is approximately 32,000 years
What is a billion on a calculator?
The meaning of a billion is one thousand million (1,000,000,000).
Wikipedia
The meaning of a billion is a billion (1,000,000,000). This number was primarily declared as a billion in American English, and was then adopted as the common unit of measurement for billions in British English in the 1970s. To give you some monetary context, if you made $100,000 a year, it would take you 10 years to make $1 million. To reach $1 billion, you would have to save every penny you make for 10,000 years. Read below to learn more…
Hey there! We have some good news and some bad news for you. Let’s break the good news first, shall we? If you’ve stumbled across this page trying to make sense of the numbers in your great-aunt Mildred’s legacy, prepare to cackle and rub your hands like a Disney villain: good times are ahead .
However, if you found this site through desperate Googling trying to understand the latest water rates since your awful, bath loving friend Alan moved in here (3 baths a day? What is he, a narwhal??), then you should probably sit down and have a strong drink before reading on. Maybe even a whole bath full of stiff drink. Today, my friend, we are talking about billions.
How many zeros in 1 billion?
Well, like so many things when it comes to measuring, it can vary a bit across the pond. In the US, a billion has always been < Dr. Evil >ONE THOUSAND MILLION< / Dr. Evil > . In numbers, that’s 1,000,000,000 with nine zeros.
In Britain, one billion was traditional < Dr. Evil second try > ONE MILLION MILLION . Dude, that’s 12 zeros (1,000,000,000,000). But what is a difference of three zeros between friends? A lot as it happens. A doctor telling you that you have a billion seconds to live would be taken with a grain of salt in the US, as that adds up to 32 years. In the land of red phone boxes, teacups and roast beef, however, it would be 32,000 years. Suddenly, British immortality is declared: Doctor Who regenerating over centuries and Mick Jagger looking youthful at just 240 – it all makes sense.
BUT WAIT!
Everyone knows Americans are super cool (huge burgers, drive-ins, and house parties with those little red paper cups) and that’s why the Brits are always copying them. So in 1974 the British government decided to try on a leather jacket and talk like the Fonz and began using the US sense of “billion” for all published official figures. So for the rest of this article, any usage of “billion” reflects the current usage in the US and UK, which is a thousand million. Nine zeros. It’s basically a universal now. Sorry if that disappoints the Brit celebrating Great-Aunt Mildred’s death – er, sorry, grief – but hey, a billion pounds is nothing to sneeze at. That’s a lot of bubble baths!
One billion: 1,000,000,000
So what does a billion look like?
Some things are too extraordinary to imagine. Take your roommate Alan. Can you imagine him getting out of the bath and picking up a vacuum cleaner? (Wait, let’s also imagine him getting dressed before hitting the vacuum.) Similarly, can you even imagine a billion dollars? A billion cats? A billion jars of Nutella, all with your name on them, hidden somewhere Alan will never find them?
Let’s go back to the idea that a billion seconds is 32 years. Then how many years is a million seconds? Think a little. The answer? none. It’s not years. It’s less than 12 days. That’s the difference between millions and billions.
Now raid your piggy bank and see if you can find a billion pennies or cents to hoard. That’s 10 million dollars, pounds or euros, so it’s probably not worth wasting your time actually pitching Percy Pig. But imagine: a billion cents in a stack would be 870 miles high. Or if you placed them side by side in a line, it would stretch 6,213 miles, which would be 2/3 the circumference of Mercury.
And those billion cats, did you know that the average kitty howls at about 45 decibels? A billion cats howling all together – 45 billion decibels – would be excruciating to listen to, not just because it’s 5 a.m. AND THERE’S ALREADY FOOD IN THE BOWL, MADAME FLUFFINGTON, so just shut up, OKAY, but because people Feeling pain from 130 dB of noise, so 45 billion decibels is unfathomable; The loudest sound ever recorded was 310 dB as Krakatoa erupted.
Well, a billion jars of Nutella – even if you inexplicably bought the smallest ones (200g), that’s 200,000,000kg. Two hundred million kilos, or the weight of 40,000 elephants. We spare you the caloric calculation here. Go ahead, enjoy your pancakes. And while you do that, read our article on the trillion.
Here’s to you, Mildred!
References Lexicon
How many is a trillion?
Trillion is a number with two distinct definitions: 1,000,000,000,000, i.e. one million million, or 1012 (ten to the twelfth power), as defined on the short scale. This is now the meaning in both American and British English.
Wikipedia
Visualization of 1 trillion (short scale)
Billion is a number with two different definitions:
1,000,000,000,000 i.e. H. a million million or 10 12 (ten to the twelve powers), as defined on the short scale. This is now the meaning in both American and British English.
(ten to the twelve powers), as defined on the short scale. This is now the meaning in both American and British English. 1,000,000,000,000,000,000 i.e. H. 10 18 (ten to the power of eighteen), as defined on the long scale. This is a million times larger than the trillion on the short scale. This is the historical meaning in English and current usage in many non-English speaking countries where trillions and billions 10 12 (ten to the power of twelve) retain their long scale definitions.
usage [edit]
Originally, the United Kingdom used the Long Scale Billion. However, since 1974 UK official statistics have used the short scale. Since the 1950s, the short-scale has been increasingly used in technical writing and journalism, although the long-scale definition still has limited use.[1][2]
American English has always used the short scale definition.
Other countries use the word trillion (or related words) to denote either the long scale or short scale trillion. See Long and Short Scales for details. The words #Current Usage.
During the peak of hyperinflation in Zimbabwe in 2008, people got used to talking about their daily spending in the trillions.[2]
A study c. 1991 [what?] suggests that Italians are more comfortable with the word trillion than Brits.[2]
Etymology[ edit ]
The words billion and trillion, or variations thereof, were first used by French mathematicians in the 15th century.[2] The word trillion was first used in the 1680s and comes from the Italian word trilione.[3][better source needed][contradictory]
The word originally meant the cube of a million.[2][3] As a result, it was mainly used to express the concept of an enormous number, similar to the words zillion and gazillion. However, it was more commonly used in the US.[2]
See also[edit]
names of large numbers
Billion, another ambiguous number word
References[ edit ]
How many billion is a trillion?
In the American system each of the denominations above 1,000 millions (the American billion) is 1,000 times the preceding one (one trillion = 1,000 billions; one quadrillion = 1,000 trillions).
Wikipedia
The table includes American and British names for various large numbers.
How many billions are in a trillion?
1000 billion (1,000,000,000,000) is 1 trillion.
Wikipedia
You can use the calculator by typing the number in either the billion or trillion field and our tool will display the conversion automatically. If you want to learn more about converting billions to trillions or how many zeros are in a billion and a trillion, you can also use our calculator to display the values in scientific notation. To do this, you must change the powers of ten in the Scientific Notation field.
Read on to find out more.
What is this number 1000000000000000000000000?
| Name | The Number | Symbol |
|---|---|---|
| septillion | 1,000,000,000,000,000,000,000,000 | Y |
| sextillion | 1,000,000,000,000,000,000,000 | Z |
| quintillion | 1,000,000,000,000,000,000 | E |
| quadrillion | 1,000,000,000,000,000 | P |
Wikipedia
(See also Metric/Imperial Conversion Tables and Unit Converters)
What is Kilo, Mega, Giga, Tera… ?
In the metric system, there are standard ways of talking about large and small numbers:
“kilo” for thousand,
“mega” for a million,
and more …
Example: A long rope is a thousand meters long. It is easier to say that it is 1 kilometer long and even easier to write it down as 1 km.
So we used kilo before the word meter to make “kilometre”.
And the abbreviation is “km” (k for kilo and m for meter, taken together).
Some more examples:
Example: you put your bag on a scale and it shows 2000 grams, we can call that 2 kilograms or just 2 kg.
Example: teaspoon A teaspoon holds 5 thousandths of a liter (51000 liters), but it’s better to say “5 milliliters” or just write 5 ml.
“kilo”, “mega”, “milli”, etc. are called “prefixes”:
prefix: a piece of word that can be added to the beginning of another word to form a new word
So if you use the prefix “milli” before “liter”, a new word “milliliter” is created.
Here we list the prefix for commonly used large and small numbers:
Common big and small numbers
Name The number prefix Symbol trillion 1,000,000,000,000 tera T billion 1,000,000,000 giga G million 1,000,000 mega M thousand 1,000 kilo k hundred 100 hecto h ten 10 deca da unit 1 tenth 0.1 deci d hundredth 0.01 centi k Thousandth 0.001 millim0 billionth 0.00 microth billionth 0.00 millith 000 001 nano n trillionth 0.000 000 000 001 pico p
Remember for large values (each a thousand times larger): “kilo mega giga tera” and for small values (each thousand times smaller): “milli micro nano pico”
Try to do something yourself!
How do you say a million liters?
How about a billionth of a meter?
At the bottom of this page are more questions to challenge yourself with…
How tall are you?
There are many differences between them. Think in time:
A million seconds is about 12 days
A billion seconds is about 32 years
A longer list:
A thousand seconds is about a quarter of an hour
Seconds is about a million seconds is about 12 days
Seconds are about A billion seconds is about 32 years, almost half a lifetime
Seconds is about 32 years, almost a trillion seconds is about 32,000 years (the last ice age ended 12,000 years ago)
Much bigger and smaller
There are also prefixes for much larger and smaller numbers:
Some very large and very small numbers
Name The number prefix symbol
Very large ! Septillion 1,000,000,000,000,000,000,000,000 Yotta Y Sextillion 1,000,000,000,000,000,000,000 Zetta Z Quintillion 1,000,000,000,000,000 exa E Billiard 1,000,000 Small! quadrillionth 0.000 000 000 000 001 femto f quintillionth 0.000 000 000 000 000 001 atto a sextillionth 0.000 000 000 000 000 000 001 zepto z septillionth 0.000 000 000 000 010 0 000 0 010 0 000 0ytoytoy
All the big numbers we know
Name As a power of ten As a decimal thousand 103 1,000 million 106 1,000,000 billion 109 1,000,000,000 trillion 1012 1,000,000,000,000 quadrillion 1015 etc… Quintillion 1018
Sextillion 1021
Septillion 1024
Octillion 1027
Nonmillion 1030
Decillion 1033
Undecillion 1036
Duodecillion 1039
Trezillion 1042
Quattuor decillion 1045
Quindemillion 1048
Sexdemillion 1051
September Decillion 1054
Octodemillion 1057
November Decillion 1060
Vigintillion 1063 1 followed by 63 zeros!
And a googol is 1 followed by a hundred zeros (10100): 10,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000 Then there’s the Googolplex. It’s 1 followed by googol zeros. I can’t even write down the number because there isn’t enough matter in the universe to make up all the zeros: 10,000,000,000,000,000,000,000,000,000, … (Googol number of zeros) And a Googolplexian is one 1 followed by googolplex zeros. Wow.
All small numbers we know
Name As a power of 10 As a decimal Thousandths 10-3 0.001 Millionths 10-6 0.000 001 Billionths 10-9 0.000 000 001 Trillionths 10-12 etc … Quadrillionths 10-15 Quintillionths 10-18 Sextillionths 10-21 Septillionths 10- 24 Octillions 10- 27 Not millionths 10-30 decillionths 10-33 undepillions 10-36 duodecillionths 10-39 tredecillionths 10-42 quattuary decillionths 10-63
5627,5632,1927,1928,1929,1930,3473,3474,3475,3476
Does a zillion exist?
Zillion sounds like an actual number because of its similarity to billion, million, and trillion, and it is modeled on these real numerical values. However, like its cousin jillion, zillion is an informal way to talk about a number that’s enormous but indefinite.
Wikipedia
A million is a huge but unspecific number. When your favorite coffee shop is so packed that there is barely any room to stand let alone find a place to sit, you could say there are tens of millions of people there.
Use zillion when there are so many things or people that it would be difficult to count them all. Zillion sounds like a real number due to its similarity to billions, millions and trillions and is modeled after these real number values. However, like its cousin Jillion, Zillion is an informal way of talking about a number that is enormous but indefinite. Experts believe it began as 1920s African-American English slang.
How is 1million written?
One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione (milione in modern Italian), from mille, “thousand”, plus the augmentative suffix -one.
Wikipedia
Natural number
A million (1,000,000) or thousand thousand is the natural number after 999,999 and before 1,000,001. The word derives from early Italian millione (milione in modern Italian), from mille, “thousand”, plus the augmentative suffix -one.[1]
It is commonly abbreviated in British English as m[2][3][4] (not to be confused with the metric prefix “m”, milli, for 10−3), M,[5][6] MM (” thousand thousand”, from Latin “mille”; not to be confused with the Roman numeral MM = 2,000), mm (not to be confused with millimeter), or mn in the financial context.[7][better source needed]
In scientific notation it is written as 1×106 or 106.[8] Physical quantities can also be expressed using the SI prefix mega (M) when dealing with SI units; for example, 1 megawatt (1 MW) equals 1,000,000 watts.
The meaning of the word “million” is common to the short and long scale numbering systems, in contrast to the larger numbers, which have different names in the two systems.
The million is sometimes used in the English language as a metaphor for a very large number, as in “Not in a million years” and “You’re one in a million,” or as an exaggeration, as in “I’ve walk a million.” Miles” and “You Asked a Million Dollar Question”.
1,000,000 is also the square of 1000 and also the cube of 100.
Visualization of powers of ten from 1 to 1 million
Visualize a million[ edit ]
While it is often emphasized that counting to exactly one million would be an extremely tedious task due to the time and concentration required, there are many ways to “size” the number in approximate quantities, regardless of imperfections or packaging effects .
In Indian English and Pakistani English it is also expressed as 10 lakh. Lakh derives from lakṣa for 100,000 in Sanskrit.
One million black dots (pixels) – each tile with a white or gray background contains 1000 dots (full screen)
Selected 7-digit numbers (1,000,001–9,999,999) [edit]
1,000,001 to 1,999,999 [ edit ]
2,000,000 to 2,999,999[ edit ]
3,000,000 to 3,999,999 [ edit ]
3,111,696 = 1764 2 = 42 4
= 1764 = 42 3,200,000 = 20 5
= 20 3,263,442 = product of the first five terms of the Sylvester sequence
= product of the first five terms of the Sylvester sequence 3,263,443 = sixth term of the Sylvester sequence [38]
= sixth term of Sylvester’s sequence 3,276,509 = Markov prime
= Markov prime 3,301,819 = alternating factorial [39]
= alternating factorial 3,333,333 = repdigit
= repdigit 3,360,633 = palindromic in 3 consecutive bases: 6281826 9 = 3360633 10 = 1995991 11
= palindrome in 3 consecutive bases: 6281826 = 3360633 = 1995991 3,418,801 = 1849 2 = 43 4
= 1849 = 43 3,426,576 = number of free 15 ominoes
= Number of free ominoes of 15 3,524,578 = Fibonacci number, [21] Markov number
= Fibonacci number, Markov number 3,554,688 = 2-automorphic number [40]
= 2-automorphic number 3,626,149 = Wedderburn-Etherington prime [25]
= Wedderburn-Etherington prime 3,628,800 = 10!
= 10! 3,748,096 = 1936 2 = 44 4
= 1936 = 44 3,880,899/2,744,210 ≈ √2
4,000,000 to 4,999,999 [ edit ]
4,008,004 = 2002 2 , palindromic square
= 2002, palindromic square 4,037,913 = sum of the first ten factorials
= sum of the first ten faculties 4,084,101 = 21 5
= 21 4,100,625 = 2025 2 = 45 4
= 2025 = 45 4,194,304 = 2048 2 = 4 11 = 2 22
= 2048 = 4 = 2 4,194,788 = Leyland number
= Leyland number 4,208,945 = Leyland number
= Leyland number 4,210,818 = equal to the sum of the seventh powers of its digits
= equal to the sum of the seventh powers of its digits 4,213,597 = number of bells [41]
= bell number 4,260,282 = fine number [42]
= fine number 4,297,512 = 12th derivative of x x at x=1 [43]
= 12th derivative of x at x=1 4,324,320 = colossal common number, [23] superior highly composite number, [24] pronic number
= colossal frequent number, superior highly composite number, pronic number 4,400,489 = Markov number
= Markov number 4,444,444 = Repdigit
= repdigit 4,477,456 = 2116 2 = 46 4
= 2116 = 46 4,782,969 = 2187 2 = 9 7 = 3 14
= 2187 = 9 = 3 4,782,974 = n such that n | (3n+5) [44]
= n such that n | (3 + 5) 4,785,713 = Leyland number
= Leyland number 4,805,595 = Riordan number
= Riordan number 4,826,809 = 2197 2 = 169 3 = 13 6
= 2197 = 169 = 13 4,879,681 = 22092 = 474
5,000,000 to 5,999,999[edit]
5,134,240 = the largest number that cannot be expressed as the sum of different fourth powers
= the largest number that cannot be expressed as the sum of different fourth powers 5,153,632 = 22 5
= 22 5,221,225 = 2285 2 , palindromic square
= 2285 , palindromic square 5,293,446 = Large Schröder number
= Large Schröder number 5,308,416 = 2304 2 = 48 4
= 2304 = 48 5,496,925 = first cyclic number to base 6
= first cyclic number to base 6 5,555,555 = Repdigit
= repdigit 5,702,887 = Fibonacci number [21]
= Fibonacci number 5,764,801 = 2401 2 = 49 4 = 7 8
= 2401 = 49 = 7 5,882,353 = 5882 + 23532
6,000,000 to 6,999,999 [ edit ]
6,250,000 = 2500 2 = 50 4
= 2500 = 50 6,436,343 = 23 5
= 23 6,536,382 = Motzkin number [33]
= Motzkin number 6,625,109 = Pell number, [15] Markov number
= Pell number, Markov number 6,666,666 = Repdigit
= Redigit 6,765,201 = 2601 2 = 51 4
= 2601 = 51 6,948,496 = 26362, palindromic square
7,000,000 to 7,999,999[edit]
7,109,376 = 1-automorphic number [37]
= 1-automorphic number 7,311,616 = 2704 2 = 52 4
= 2704 = 52 7,453,378 = Markov number
= Markov number 7,529,536 = 2744 2 = 196 3 = 14 6
= 2744 = 196 = 14 7,652,413 = Largest n-digit pandigital prime
= Largest n-digit pandigital prime number 7,777,777 = Repdigit
= Repdigit 7,779,311 = A hit song written by Prince and published by The Time in 1982
= A hit song written by Prince and published by The Time in 1982 7,861,953 = Leyland number
= Leyland number 7,890,481 = 2809 2 = 53 4
= 2809 = 53 7,906,276 = pentagonal triangular number
= pentagonal triangle number 7,913,837 = Keith number [11]
= Keith number 7,962,624 = 245
8,000,000 to 8,999,999[edit]
9,000,000 to 9,999,999[ edit ]
9,150,625 = 3025 2 = 55 4
= 3025 = 55 9,227,465 = Fibonacci number, [21] Markov number
= Fibonacci number, Markov number 9,369,319 = Newman-Shanks-Williams prime [45]
= Newman-Shanks-Williams prime number 9,647,009 = Markov number
= Markov number 9,653,449 = quadratic Stella Octangula number
= square Stella octangula number 9,581,014 = n such that n | (3n+5) [46]
= n such that n | (3 + 5) 9,663,500 = initial number of the first century xx 00 to xx 99, which has an identical prime pattern to any century with four or fewer digits: its prime pattern of {9663503, 9663523, 9663527, 9663539, 9663553, 9663581, 9663587 } is identical to {5903, 5923, 5927, 5939, 5953, 5981, 5987} [47] [48]
= First-century initial number 00 through 99, which has an identical prime pattern to any century with four or fewer digits: its prime pattern of {9663503, 9663523, 9663527, 9663539, 9663553, 9663581, 9663587} is identical to {5903, 5923 , 5927 , 5939, 5953, 5981, 5987} 9,694,845 = Catalan number [35]
= Catalan number 9,699,690 = eighth primary number
= eighth primordial cell 9,765,625 = 3125 2 = 25 5 = 5 10
= 3125 = 25 = 5 9,800,817 = equal to the sum of the seventh powers of its digits
= equal to the sum of the seventh powers of its digits 9,834,496 = 3136 2 = 56 4
= 3136 = 56 9,865,625 = Leyland number
= Leyland number 9,926,315 = equal to the sum of the seventh powers of its digits
= equal to the sum of the seventh powers of its digits 9,938,375 = 215 3 , the largest 7-digit cube
= 215 , the largest 7-digit cube number 9,997,156 = largest triangular number with 7 digits and the 4,471st triangular number
= largest triangular number with 7 digits and the 4,471. Triangular number 9,998,244 = 3162 2 , the largest 7-digit square
= 3162 , the largest 7-digit square 9,999,991 = Largest 7-digit prime
= Largest 7-digit prime number 9,999,999 = Repdigit
See also[edit]
Learn how to read large numbers to the billions – 123yay Math –
See some more details on the topic how do you write 2 billion in numbers here:
Two Billion in Numbers | numbersinwords.net
To write two billion in numbers change “two billion” to “2”, then multiply 2 by 109.
Source: numbersinwords.net
Date Published: 3/20/2021
View: 3127
How do you write 2 billion in number form? – Quora
Usual number form: first 3 digits (from the right) are hundreds; second set of 3 digits are thousands; third set are millions; and the fourth set are billions.
Source: www.quora.com
Date Published: 7/26/2022
View: 7735
2 billion in numbers – calculator.name
In figures, the digits in 2 billion are separated with commas and written as 2,000,000,000. How to write 2 billion in scientific notation?
Source: calculator.name
Date Published: 1/5/2022
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What is 2 billion in numbers? – ClickCalculators.com
2 billion is written as 2,000,000,000 in numbers. Details. To convert 2 billion into numbers, you just need to multiply the number 2 by 1,000,000,000 to get …
Source: clickcalculators.com
Date Published: 5/18/2022
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How Do You Write 2 Billion in Numbers – Blogger.com
A billion is equivalent to a thousand million which explains the need for nine zeros. 179 billion written out in numbers is 17900000000.
Source: alexusxibriggs.blogspot.com
Date Published: 6/20/2022
View: 5284
How Many Millions in a Billion | Turito US Blog
Step 2: Converting the American number system into the Indian number system. 1 billion in rupees = 1,000,000,000 Rupees. We know that 1 lakh = 1 …
Source: www.turito.com
Date Published: 11/29/2021
View: 9947
How much is 2 billion? – Research Maniacs
2,000,000,000. And this is how you would write 2 billion with letters only: · Two billion. If you take apart 2 billion and turn it into millions you get: · 2 …
Source: researchmaniacs.com
Date Published: 7/23/2021
View: 5232
How Much Is a Billion? | AMNH
Astronomers often deal with even larger numbers such as a trillion (12 zeros) and a quadrillion (15 zeros). When astronomers write these really, really big …
Source: www.amnh.org
Date Published: 4/8/2022
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Two hundred billion in numbers – CoolConversion
[2] Write Checks Without Cents Correctly. Disclaimer. While every effort is made to ensure the accuracy of the information proved on this website, neither …Source: coolconversion.com
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1 billion rupees is 10,000 lakhs. 1 billion is a natural number derived from 1,000,000,000. The number before 1 billion is 999,999,999 and the following number is 1,000,000,001.
In mathematics, numbers can be defined using place values. The place value of the digits in the numbers is represented in two different ways. They are the Indian system and the international system. The place value tables are used to identify the position values of the number. The numbers in the general form can be expanded using positions.
The order of the place values goes from right to left. The place value starts at the units place (ones place) and then moves to tens, hundreds, thousands, and so on. In this article, let us discuss the value of 1 billion rupees in terms of Indian place value system in detail. Also, we will look at the place value table for the Indian system and the international system.
1 billion worth of rupees
From the place value tables, billions are used in the International System. The equivalent of 1 billion rupees (in terms of the Indian system) is given by
1 billion = 1,000,000,000 rupees
1 billion in lakhs
We can write 1 billion lakhs as:
1 billion = 10,000 lakhs (As 1 lakh = 1,00,000)
So 1 billion lakhs is 10,000 lakhs. This means that 1 billion lakhs equals ten thousand lakhs.
In other words, 1 billion = 100 crores (As 1 crore = 1.00.00.000)
Converting billions to lakhs:
To convert the given billion value to lakhs, multiply the given billion value by ten thousand lakhs (10,000 lakhs).
For example, to convert 7 billion lakhs, multiply 7 by 10,000 lakhs.
(i.e.) 7 billion = 7 x 10,000 lakhs
7 billion = 70,000 lakhs
So 7 billion equals 70,000 lakhs.
1 billion in crores
1 billion = 100 crores (As 1 crore = 1,00,00,000)
Converting billions to crores:
To convert the given billion value to crores, multiply the given billion value by 100 crores.
Let’s take an example to convert 9 billion to crores, multiply 9 by 100 crores.
(i.e.) 9 billion = 9 x 100 crores
9 billion = 900 crores
So 9 billion equals 900 crores.
This way we can convert any billion value into Indian numeral values such as lakhs, crores and so on.
How many zeros in a billion?
There are nine (9) zeros in a billion.
1 billion = 1,000,000,000
The place value of each zero can be found in the table below.
How many millions is a billion?
1 million = 1000,000
One million equals 1000,000.
1 billion = 1000 million = 1000,000,000
Therefore, a billion in millions equals 1000 million.
Place value table for the Indian system
In the Indian system, the order of place values of the digit is as follows:
Crores Lakhs Thousand Ones Ten Crores Crores Ten Lakhs Lakhs Tens Thousands Thousands Hundreds Tens Ones 10,00,00,000 1,00,00,000 10,00,000 1,00,000 10,000 1000 100 10 1
The Indian numeral system is also known as the Hindu-Arabic system. In this system, the comma symbol “,” is used to separate periods. Here the first comma comes after three digits from the right, and the next comma comes after 2 digits and then after every 2 digits.
Place value chart for the international system
In the International System, the order of place values of a digit is as follows:
Billion million thousands hundred billion ten billion one billion million ten million hundred thousand ten thousand thousand hundred ten, 100,000,000,000 10,000,000 1,000,000 100,000,000 10,000 1 000,000 100,000 10,000 1000 100 10 1
See also: Billion Rupees Calculator.
Billions in rupees examples
The following examples will help you clearly understand the concept of billions in rupees:
Example 1:
What is the value of 5 billion rupees?
Solution:
We know that 1 billion rupees equals 1,000,000,000
So the value of 5 billion rupees is calculated as follows:
5 billion = 5 x 1,000,000,000
5 billion = 5,000,000,000 rupees
Also, we can say that 5 billion equals 500 crores.
Example 2:
What is the value of 4.6 billion in crores?
Solution:
We know that
1 billion = 100 crores
Therefore 4.6 billion = 4.6 x 100 crores
4.6 billion = 460 crores
Therefore, the value of 4.6 billion is 460 crores.
Example 3:
What is the value of 2 billion lakhs?
Solution:
It is known that
1 billion = 10,000 lakhs
Because of this,
2 billion = 2 x 10,000 lakhs
2 billion = 20,000 lakhs.
Example 4:
What is 1 percent of 7 billion?
Solution:
7 billion can be written as 7,000,000,000
1 percent of 7 billion = 1% of 7,000,000,000
= 1% × 7,000,000,000
= 1/100 × 7,000,000,000
= 70,000,000
70,000,000 is 70 million.
1% of 7 billion is 70 million.
Example 5:
Write the following numbers in word format.
(a) 4,896,683,154 –
(b) 12.817.409.335 –
(c) 81.230.000.101 –
(d) 507.073.005.106 –
(e) 609,999,909,890 –
Solution:
(a) Four billion eight hundred ninety-six million six hundred eighty-three thousand one hundred and fifty-four
(b) Twelve billion, eight hundred and seventeen million, four hundred nine thousand, three hundred and thirty-five
(c) Eighty-one billion two hundred and thirty million one hundred and one
(d) Five hundred seven billion seventy three million five thousand one hundred six
(e) Six hundred nine billion nine hundred ninety-nine million nine hundred nine thousand eight hundred and ninety
Example 6:
Express the given phrases in number format.
(a) Three billion seven hundred twenty two million one hundred thirty one thousand four hundred seventy two
(b) Five hundred seventy-four million three hundred twenty-six thousand four hundred thirty-seven
(c) Eleven billion one hundred eighty eight million three hundred forty six thousand eighty three
(d) Eighteen billion seven hundred ninety-two million six hundred sixteen thousand three hundred twelve
(e) One hundred fifty nine billion one hundred eighty six million six hundred fifty one thousand three hundred twenty six
Solution:
(a) 3,722,131,472
(b) 574.326.437
(c) 11.188.346.083
(d) 18.792.616.312
(e) 159.186.651.326
Example 7:
What is the ancestor of the number 3,45,75,42,009?
Solution:
The previous number (predecessor) of 3,45,75,42,009 is 3,45,75,42,008.
Example 8:
Choose the place value from the given possibilities of the number 5 in the given number. 132.070.689.050
A) ten B) ten thousand C) ten million D) ten billion
Solution:
The place value of 5 in 132, 070, 689, 050 is tens.
Example 9:
Find the value 2 in the following number: 529,307,604,000
A) Hundred billion B) Ten billion C) Ten million D) One million
Solution:
The place value of the number 2 in 529,307,604,000 is ten billion.
Example 10:
Which of the following ways expresses five hundred six million, seventy-three thousand, and eight in standard form?
A) 516.073.008 B) 506.073.008 C) 506.111.0008 D) 506.068.908
Solution:
506, 073, 008 = five hundred six million seventy three thousand eight.
exercise problems
Solve the following problems:
What is the value of 3.26 billion rupees? What is the value of 0.23 billion rupees? What is the value of ½ billion rupees?
Keep up to date with BYJU’S – The Learning App and download the app to learn many interesting math topics.
2.2 – Scientific Notation
Learning Objectives (2.2.1) – Write scientific notation
(2.2.2) – Converting between scientific and decimal notation
(2.2.3) – Multiply and divide numbers in scientific notation
(2.2.4) – Problem solving with scientific notation
Just as exponents help us write repeated multiplications with little effort, they are also used to express large and small numbers without lots of zeros and confusion. Scientists and engineers regularly use exponents to track the place value of numbers they use to perform calculations.
(2.2.1) – Write scientific notation
Before we can convert between scientific and decimal notation, we need to know the difference between the two. Scientific notation is used by scientists, mathematicians, and engineers when working with very large or very small numbers. Exponential notation makes it easier to write large and small numbers in a way that is easier to read.
When a number is written in scientific notation, the exponent tells you whether the term is a large or small number. A positive exponent indicates a large number and a negative exponent indicates a small number between 0 and 1. It is difficult to understand how big a billion or a trillion is. Here’s a way to help you think about it.
Word How many thousands Number Scientific notation Million 1000 x 1000 = thousand thousands 1,000,000 [latex]10^6[/latex] Billion (1000 x 1000) x 1000 = thousand million 1,000,000,000 [latex]10^9[/latex ] trillion (1000 x 1000 x 1000) x 1000 = thousand billion 1,000,000,000,000 [latex]10^{12}[/latex]
1 billion can be written as 1,000,000,000 or represented as [latex]10^9[/latex]. How would 2 billion be represented? Since 2 billion is 2 times 1 billion, 2 billion can be written as [latex]2\times10^9[/latex].
A light year is the number of miles that light travels in a year, approximately 5,880,000,000,000. That’s a lot of zeros, and it’s easy to get lost when trying to figure out the place value of the number. In scientific notation, the distance is [latex]5.88\times10^{12}[/latex] miles. The exponent of 12 tells us how many digits to count to the left of the decimal point. Another example of how scientific notation can make numbers easier to read is the diameter of a hydrogen atom, which is about 0.00000005 mm and is [latex]5\times10^{-8}[/latex] mm in scientific notation. In this case, the [latex]-8[/latex] tells us how many digits to count to the right of the decimal point.
The following box lists some important conventions of the scientific notation format.
Scientific notation A positive number is written in scientific notation if it is written as [latex]a\times10^{n}[/latex], where the coefficient a equals [latex]1\leq{a}<10[/latex ] and n is an integer. Check out the numbers below. Which of the numbers is written in scientific notation? Numbers Scientific notation? Explanation [latex]1.85\times10^{-2}[/latex] yes [latex]1\leq1.85<10[/latex] [latex]-2[/latex] is an integer [latex] \displaystyle 1.083 \ times {{10}^{\frac{1}{2}}}[/latex] no [latex] \displaystyle \frac{1}{2}[/latex] is not an integer [latex]0.82\ times10^ {14}[/latex] no 0.82 is not [latex]\geq1[/latex] [latex]10\times10^{3}[/latex] no 10 is not < 10 Now let's compare some numbers expressed in both scientific notation and standard decimal notation to understand how to convert from one form to the other. Take a look at the tables below. Pay close attention to the exponent in scientific notation and the position of the decimal point in decimal notation. 0.05[latex]5\times10^{-2}[/latex] 0.0008[latex]8\times10^{-4}[/latex] 0.00000043[latex]4.3\times10^{-7}[/latex] 0.000000000625[ latex]6.25\times10^{-10}[/latex] Large numbers Small numbers Decimal notation Scientific notation Decimal notation Scientific notation 500.0 [latex]5\times10^{2}[/latex] 80.000.0 [latex]8\times10^{4}[/latex] 43.000.000.0 [latex]4.3\ times10^{7}[/latex] 62,500,000,000.0 [latex]6.25\times10^{10}[/latex] Convert from decimal notation to scientific notation To write a large number in scientific notation, move the decimal point to the left to get a number between 1 and 10. Because moving the decimal point changes the value, you must multiply the decimal point by a power of 10 so that the expression has the same value. Let's look at an example. [latex]\begin{array}{r}180,000.=18,000.0\times10^{1}\\1,800,00\times10^{2}\\180,000\times10^{3}\\18,0000\times10^{ 4}\\ 1.80000\times10^{5}\\180,000=1.8\times10^{5}\end{array}[/latex] Note that the decimal point has been shifted 5 places to the left and the exponent is 5. Example Write the following numbers in scientific notation. [latex]920,000,000[/latex] [latex]10,200,000[/latex] [latex]100,000,000,000[/latex] Show solution [latex]\underset{\longleftarrow}{920,000,000}[/latex] We move the decimal point to the left, it helps to place it at the end of the number and then count how many times you move it to get a number in front that is between 1 and 10. [latex]\underset{\longleftarrow}{920.000.000}=920.000.000.0[ /latex], move the decimal point to the left 8 times and you have [latex]9.20.000.000[/latex], now we can pass the zeros replacing an exponent of 8, [latex]9.2\times10^{8} [/latex] [latex]\underset{\longleftarrow}{10,200,000}=10,200,000.0=1.02\times10^{7}[/latex], note here , like we added the 0 and the 2 after the decimal point. In some disciplines you can learn when to include both. Follow your teacher's instructions on rounding rules. [latex]\underset{\longleftarrow}{100,000,000,000}=100,000,000,000.0=1.0\times10^{11}[/latex] To write a small number (between 0 and 1) in scientific notation, shift the decimal to the right and the exponent must be negative, as in the example below. [latex]\begin{array}{r}\underset{\longrightarrow}{0.00004}=00.0004\times10^{-1}\\000.004\times10^{-2}\\0000.04\times10^{-3}\ \00000.4\times10^{-4}\\000004.\times10^{-5}\\0.00004=4\times10^{-5}\end{array}[/latex] You'll notice that the decimal point has shifted five places to the right until you get to the number 4, which is between 1 and 10. The exponent is [latex]−5[/latex]. Example Write the following numbers in scientific notation. Show solution ] we shifted the decimal 12 times to get a number between 1 and 10 [latex]\underset{\longrightarrow}{0.0000000102}=1.02\times10^{-8}[/latex] [latex]\underset{ \longrightarrow {0.00000000000000793}=7.93\times10^{-15}[/latex] Watch the video below for examples of how to convert both a large and small number in decimal notation to scientific notation. (2.2.2) - Convert from scientific notation to decimal notation You can also write scientific notation as decimal notation. Remember, the number of miles light travels in a year is [latex]5.88\times10^{12}[/latex], and a hydrogen atom has a diameter of [latex]5\times10^{ -8}[/latex] mm. To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. [latex]\begin{array}{l}5.88\times10^{12}=\underset{\longrightarrow}{5.880000000000.}=5,880,000,000,000\\5\times10^{-8}=\underset{\ longleftarrow}{0.00000005 .}=0.00000005\end{array}[/latex] For each power of ten, move the decimal point one place. Be careful here and don't get carried away by the zeros - the number of zeros after the decimal point is always 1 less than the exponent because it takes a power of 10 to shift that first number to the left of the decimal point. Example Write the following in decimal notation. [latex]4.8\times10{-4}[/latex] [latex]3.08\times10^{6}[/latex] Show solution [latex]4.8\times10^{-4}[/latex], the exponent is negative , so we need to move the decimal to the left. [latex]\underset{\longleftarrow}{4.8\times10^{-4}}=\underset{\longleftarrow}{.00048}[/latex] [latex]3.08\times10^{6}[/latex], the Exponent is positive, so we need to shift the decimal to the right. [latex]\underset{\longrightarrow}{3.08\times10^{6}}=\underset{\longrightarrow}{3080000}[/latex] Think about it Answer the following questions to get a sense of the relationship between the sign of the exponent and the relative magnitude of a number written in scientific notation. You can use the text box to write your ideas before revealing the solution. 1. You write a number whose absolute value is greater than 1 in scientific notation. Will your exponent be positive or negative? 2. You write a number whose absolute value is between 0 and 1 in scientific notation. Will your exponent be positive or negative? 3. What power do you have to set to 10 to get a result of 1? Show Solution Word How Many Thousands Number Scientific Notation Millions 1000 x 1000 = Thousands Thousands 1,000,000 [Latex]10^6[/Latex] Billions (1000 x 1000) x 1000 = Thousands Millions 1,000,000,000 [Latex]10^9[ /latex ] trillion (1000 x 1000 x 1000) x 1000 = thousand billion 1,000,000,000,000 [latex]10^{12}[/latex] 1. You are writing a number whose absolute value is greater than 1 in scientific notation. Will your exponent be positive or negative? For numbers greater than 1, the exponent to 10 is positive when using scientific notation. See the table above: 2. You write a number whose absolute value is between 0 and 1 in scientific notation. Will your exponent be positive or negative? We can conclude that numbers between 0 and 1 have a negative exponent since numbers greater than 1 have a positive exponent. Why do we give numbers between 0 and 1? The numbers between 0 and 1 represent amounts that are fractions. Remember that we defined numbers with negative exponent as [latex]{a}^{-n}=\frac{1}{{a}^{n}}[/latex], so if we [latex] 10^ have {-2}[/latex] we have [latex]\frac{1}{10\times10}=\frac{1}{100}[/latex] which is a number between 0 and 1 you need 10 enter to get a result of 1? Remember that any number or variable with an exponent of 0 is equal to 1, as in this example: [latex]\begin{array}{c}\frac{t^{8}}{t^{8}} =\frac{\cancel{t^{8}}}{\cancel{t}^{8}}}=1\\\frac{{t}^{8}}{{t}^{8}}= {t }^{8 - 8}={t}^{0}\\\text{ i.e. }\\{t}^{0}=1\end{array}\\[/latex] We now have the Notation described necessary to write all possible numbers in scientific notation on the number line. In the next video you will see how to convert a number written in scientific notation to decimal notation. (2.2.3) - Multiplying and dividing numbers in scientific notation Numbers written in scientific notation can be multiplied and divided fairly easily, using properties of numbers and rules for exponents that you might remember. To multiply numbers in scientific notation, first multiply the numbers that aren't powers of 10 (the a in [latex]a\times10^{n}[/latex]). Then multiply the powers of 10 by adding the exponents. This gives a new number times another power of 10. All you have to do is verify that this new value is in scientific notation. If it isn't, convert it. Let's look at some examples. Example [latex]\left(3\times10^{8}\right)\left(6.8\times10^{-13}\right)[/latex] Show Solution Regroup using the commutative and associative properties. [latex]\left(3\times6.8\right)\left(10^{8}\times10^{-13}\right)[/latex] Multiply the coefficients. [latex]\left(20.4\right)\left(10^{8}\times10^{-13}\right)[/latex] Multiply the powers of 10 by the product rule. Add the exponents. [latex]20.4\times10^{-5}[/latex] Convert 20.4 to scientific notation by shifting the decimal point one place to the left and multiplying by [latex]10^{1}[/latex]. [latex]\left(2.04\times10^{1}\right)\times10^{-5}[/latex] Group the powers of 10 using the associative law of multiplication. [latex]2.04\times\left(10^{1}\times10^{-5}\right)[/latex] Multiply by the product rule - add the exponents. [latex]2.04\times10^{1+\left(-5\right)}[/latex] Answer [latex]\left(3\times10^{8}\right)\left(6.8\times10^{-13 }\right)=2.04\times10^{-4}[/latex] Example [latex]\left(8.2\times10^{6}\right)\left(1.5\times10^{-3}\right)\left(1.9\times10^{-7}\right)[/latex] Show Solution Regroup using the commutative and associative properties. [latex]\left(8.2\times1.5\times1.9\right)\left(10^{6}\times10^{-3}\times10^{-7}\right)[/latex] Multiply the numbers . [latex]\left(23.37\right)\left(10^{6}\times10^{-3}\times10^{-7}\right)[/latex] Multiply the powers of 10 by the product rule - add the exponents. [latex]23.37\times10^{-4}[/latex] Convert 23.37 to scientific notation by shifting the decimal point one place to the left and typing [latex]10^{1}[/latex ] multiply. [latex]\left(2.337\times10^{1}\right)\times10^{-4}[/latex] Group the powers of 10 using the associative law of multiplication. [latex]2.337\times\left(10^{1}\times10^{-4}\right)[/latex] Multiply by the product rule and add the exponents. [latex]2.337\times10^{1+\left(-4\right)}[/latex] Answer [latex]\left(8.2\times10^{6}\right)\left(1.5\times10^{-3 }\right)\left(1.9\times10^{-7}\right)=2.337\times10^{-3}[/latex] In the video below you can see an example of how to multiply two numbers written in scientific notation. To divide numbers in scientific notation, you again apply the properties of numbers and the rules of exponents. You start by dividing the numbers that aren't powers of 10 (the a in [latex]a\times10^{n}[/latex]. Then you divide the powers of 10 by subtracting the exponents. This gives a new number times another power of 10. If it's not already in scientific notation, convert it and you're done. Let's look at some examples. Example [latex] \displaystyle \frac{2.829\times 1{{0}^{-9}}}{3.45\times 1{{0}^{-3}}}[/latex] Show solution Regroup with the associative Property. [latex] \displaystyle \left( \frac{2.829}{3.45} \right)\left( \frac{{{10}^{-9}}}{{{10}^{-3}}} \right )[/latex] Divide the coefficients. [latex] \displaystyle \left(0.82\right)\left( \frac{{{10}^{-9}}}{{{10}^{-3}}} \right)[/latex] Divide the Powers of 10 using the quotient rule. Subtract the exponents. [latex]\begin{array}{l}0.82\times10^{-9-\left(-3\right)}\\0.82\times10^{-6}\end{array}[/latex] Convert 0.82 into scientific notation by shifting the decimal point one place to the right and multiplying by [latex]10^{-1}[/latex]. [latex]\left(8.2\times10^{-1}\right)\times10^{-6}[/latex] Group the powers of 10 using the associative law. [latex]8.2\times\left(10^{-1}\times10^{-6}\right)[/latex] Multiply the powers of 10 by the product rule - add the exponents. [latex]8.2\times10^{-1+\left(-6\right)}[/latex] Answer [latex] \displaystyle \frac{2.829\times {{10}^{-9}}}{3.45\ times {{10}^{-3}}}=8.2\times {{10}^{-7}}[/latex] Example (extended) [latex] \displaystyle \frac{\left(1.37\times10^{4}\right)\left(9.85\times10^{6}\right)}{5.0\times10^{12}}[/ latex] Show Solution Regroup the terms in the numerator according to the associative and commutative properties. [Latex] \displaystyle \frac{\left( 1.37\times 9.85 \right)\left( {{10}^{6}}\times {{10}^{4}} \right)}{5.0\times { {10}^{12}}}[/latex] Multiply. [latex] \displaystyle \frac{13.4945\times {{10}^{10}}}{5.0\times {{10}^{12}}}[/latex] Regroup using the associative property. [Latex] \displaystyle \left( \frac{13.4945}{5.0} \right)\left( \frac{{{10}^{10}}}{{{10}^{12}}} \right)[ /latex] Divide the numbers. [latex] \displaystyle \left(2.6989\right)\left(\frac{10^{10}}{10^{12}}\right)[/latex] Divide the powers of 10 using the quotient rule – subtract the exponents . [latex] \displaystyle \begin{array}{c}\left(2.6989 \right)\left( {{10}^{10-12}} \right)\\2.6989\times {{10}^{-2 }}\end{array}[/latex] Answer [latex] \displaystyle \frac{\left( 1.37\times {{10}^{4}} \right)\left( 9.85\times {{10}^{ 6}} \right)}{5.0\times {{10}^{12}}}=2.6989\times {{10}^{-2}}[/latex] Note that when dividing exponential terms, you subtract the exponent in the denominator from the exponent in the numerator. In the following video you can see another example of dividing numbers in scientific notation. (2.2.4) - Problem solving with scientific notation Learning rules for exponents seems pointless without context, so let's examine some examples of using scientific notation that involve real problems. First, let's look at an example of how scientific notation can be used to describe real-world measurements. Think about it Match each length in the table to the corresponding number of meters, described below in scientific notation. Write your ideas in the text boxes provided before looking at the solution. The height of a desk Diameter of a water molecule Diameter of the sun at the equator Distance from Earth to Neptune Diameter of the earth at the equator Height of Mt. Everest (rounded) Diameter of an average human cell Diameter of a large grain of sand Distance a sphere travels in one second power of 10, units in meters length from the table above [latex]10^{12}[/latex] [latex]10^{9}[/latex] [latex]10^{6}[/latex] [latex]10 ^{4}[/latex] [latex]10^{2}[/latex] [latex]10^{0}[/latex] [latex]10^{-3}[/latex] [ latex]10^ {-5}[/latex] [latex]10^{-10}[/latex] Show solution Power of 10, units in meters length from table above [latex]10^{12}[/latex] Distance from Earth to Neptune [latex]10^{9}[/latex] diameter of the sun at the equator [latex]10^{6}[/latex] diameter of the earth at the equator [latex]10^{4}[ /latex] height of Mt. Everest (rounded) [latex]10^{2}[/latex] Distance covered by a ball in one second [latex]10^{0}[/latex] D he height of a desk [latex] 10^{-3}[/latex] diameter of a large grain of sand [latex]10^{-5}[/la tex] diameter of an average human cell [latex]10^{-10}[ /latex] Diameter of a water molecule One of the most important parts of solving a "real" problem is translating the words into appropriate mathematical terms and recognizing when a known formula can be helpful. Here's an example where you need to find the density of a cell based on its mass and volume. Cells are not visible to the naked eye, so their measurements involve negative exponents as described in scientific notation. Example Human cells come in a variety of shapes and sizes. The mass of an average human cell is about [latex]2\times10^{-11}[/latex] grams Red blood cells are one of the smallest cell types and have a volume of about [latex]10^{-6}\text{ meters }^3[/latex]. Biologists have recently discovered how to use the density of some cell types to indicate the presence of diseases such as sickle cell anemia or leukemia. Density is calculated as the ratio of [latex]\frac{\text{ mass }}{\text{ volume }}\\[/latex]. Calculate the density of an average human cell. View Solution Read & Understand: We get an average cell mass and volume and the formula for density. We're looking for the density of an average human cell. Define and translate: [latex]m=\text{mass}=2\times10^{-11}[/latex], [latex]v=\text{volume}=10^{-6}\text{ meter} ^3\\[/latex], [latex]\text{density}=\frac{\text{ mass }}{\text{ volume }}\\[/latex] Write and solve: Use the quotient rule for simplicity The relationship. [Latex]\begin{array}{c}\text{ density }=\frac{2\times10^{-11}\text{ grams }}{10^{-6}\text{ meters }^3}\ \\text{ }\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\ ,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,=2\times10^{-11-\left(-6\right)}\ frac{\text{ grams }}{\text{ meters }^3}\\\text{ }\\\,\,\,\,\,\,\,\,\,\,\,\,\ ,\,\,\,\,\,\,\,\,\,\,=2\times10^{-5}\frac{\text{ grams }}{\text{ meters }^3}\\ \end{array}[/latex] When scientists know the density of healthy cells, they can compare the cell density of a sick person to the cell density of a sick person to rule out or test for disorders or diseases that may affect cell density. Answer The average density of a human cell is [latex]2\times10^{-5}\frac{\text{ grams }}{\text{ meters }^3}[/latex] The video below shows an example of how to find out the number of operations that a computer can perform in a very short time. In the next example, you use another familiar formula, [latex]d=r\cdot{t}[/latex], to find how long it takes for light to travel from the sun to the earth. Unlike the previous example, the distance between the earth and the sun is enormous, so the numbers you'll be working with have positive exponents. Example The speed of light is [latex]3\times10^{8}\frac{\text{ meter }}{\text{ second }}\\[/latex]. If the sun is [latex]1.5\times10^{11}[/latex] meters from the earth, how many seconds does it take for the sunlight to reach the earth? Write your answer in scientific notation. Show solution Read and understand: We are looking for how long - a period of time. We get a rate that has units of meters per second and a distance in meters. This is a [latex]d=r\cdot{t}[/latex] problem. Define and translate: [latex]\begin{array}{l}d=1.5\times10^{11}\\r=3\times10^{8}\frac{\text{ meter }}{\text{ second } }\\t=\text{ ? }\end{array}\\[/latex] Write and solve: Substitute the values we get into the [latex]d=r\cdot{t}[/latex] equation. We will work without units to make it easier. Scientists often work with units to ensure they have made correct calculations. [latex]\begin{array}{c}d=r\cdot{t}\\1.5\times10^{11}=3\times10^{8}\cdot{t}\end{array}[/latex] Divide both sides of the equation by [latex]3\times10^{8}[/latex] to isolate t. [latex]\begin{array}{c}1.5\times10^{11}=3\times10^{8}\cdot{t}\\\text{ }\\\frac{1.5\times10^{11}} {3\times10^{8}}=\frac{3\times10^{8}}{3\times10^{8}}\cdot{t}\end{array}[/latex] On the left, you you need to use the quotient rule of the exponents to simplify, and on the right side you are left with t. [latex]\begin{array}{c}\frac{1.5\times10^{11}}{3\times10^{8}}=\frac{3\times10^{8}}{3\times10^{8 }}\cdot{t}\\\text{ }\\\left(\frac{1.5}{3}\right)\times\left(\frac{10^{11}}{10^{8}} \right)=t\\\text{ }\\\left(0.5\right)\times\left(10^{11-8}\right)=t\\0.5\times10^3=t\end{array }[/latex] This answer isn't in scientific notation, so we're shifting the decimal to the right, which means we need to subtract a factor of 10. [latex]0.5\times10^3=5.0\times10^2=t [/latex] Answer The time it takes for light to travel from the sun to the earth is [latex]5.0\times10^2=t[ /latex] seconds or in standard notation 500 seconds. That's not bad considering how far it has to travel! In the video below, you can see that the total number of kilometers run by participants in the Boston Marathon is greater than the circumference of the earth! https://youtu.be/san2avgwu6k summary Scientific notation was developed to help mathematicians, scientists, and others express and work with very large and very small numbers. Scientific notation follows a very specific format in which a number is expressed as the product of a number greater than or equal to one and less than ten and a power of ten. The format is written [latex]a\times10^{n} [/latex], where [latex]1\leq{a}<10[/latex] and n is an integer. To multiply or divide numbers in scientific notation, you can use the commutative and associative properties to group the exponential terms and apply the rules of exponents.
Wikipedia
Number name for 1000 million or one million million depending on the scale used
Not to be confused with Billon
A billion is a number with two different definitions:
1,000,000,000 i.e. H. one billion or 10 9 (ten to the nine powers), as defined on the short scale. This is now the meaning in all English dialects. [1] [2]
(ten to the power of nine), as defined on the short scale. This is now the meaning in all English dialects. 1,000,000,000,000 i.e. H. a million million or 10 12 (ten to the twelve powers), as defined on the long scale. That’s a thousand times larger than the short-term billion, and that number is usually referred to today as one trillion. This is the historical meaning in English (excluding the United States) and was officially used in British English until some time after the Second World War. It is still used in many non-English speaking countries where billion and trillion 10 18 (ten to the power of eighteen) or equivalent words retain their long definitions.
American English adopted the short-scale definition from French (it was used alongside the long-scale definition in France at the time).[3] The United Kingdom used the long scale until 1974, when the government officially switched to the short scale, but by the 1950s the short scale had already been increasingly used in technical writing and journalism. [4]
Other countries use the word billion (or related words) to denote either long-term or short-term billion. (See Long and short scales § Current usage for details.)
Milliard, another term for billion, is extremely rare in English, but similar words are very common in other European languages.[5][6] For example Bosnian, Bulgarian, Catalan, Croatian, Czech, Danish, Dutch, Finnish, French, Georgian, German, Hebrew (Asia), Hungarian, Italian, Kazakh, Kyrgyz, Lithuanian, Norwegian, Persian, Polish, Portuguese, Romanian, Russian , Serbian, Slovak, Slovenian, Spanish (although the expression mil millones – a thousand millions – is far more common), Swedish, Tajik, Turkish, Ukrainian and Uzbek – use billion or a related word for the short billion, and billion (or a related word) for the long-term billion. Thus, for these languages, a billion is a thousand times larger than the modern English billion.
history [edit]
According to the Oxford English Dictionary, the word billion was formed in the 16th century (from million and the prefix bi-, “two”), meaning the second power of a million (1,000,0002 = 1012). This long scale definition has been similarly applied to trillions, quadrillions, and so on. The words were originally Latin and came into English towards the end of the 17th century. Later, French arithmeticians changed the meaning of the words and adopted the short definition, adding three zeros at each step instead of six, so that a billion became a billion (109) and a trillion became a million million (1012). etc. This new convention was adopted in the United States in the 19th century, but Britain retained the original large-scale usage. France, in turn, returned to the long scale in 1948.[3]
In Britain, however, under the influence of American usage, the short scale was increasingly used. In 1974 Prime Minister Harold Wilson confirmed that the government would only use the word billion in its short meaning (one thousand million). In a written reply to Robin Maxwell-Hyslop MP, who asked whether the official usage would conform to the traditional British meaning of one million millions, Wilson stated: “No. The word ‘billion’ is now used internationally to mean 1,000 million and it would be confusing for UK ministers to use it in any other sense. I accept that it could still be interpreted as 1 million million in this country and I will ask my colleagues to ensure that when they use it there is no ambiguity as to its meaning.”[4]
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