Top 24 How Many Times Does 5 Go Into 1000 10143 Good Rating This Answer

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1000 divided by 5 is 200. Using long division, solving this problem is straightforward.Hence, the digit 5 appears 300 times from 1 to 1000.Hence, the factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500 and 1000.

How many 5’s are there in 1000?

Hence, the digit 5 appears 300 times from 1 to 1000.

What can go into 1000?

Hence, the factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500 and 1000.

How many 4s are there in 1000?

4 will occur 300 times from 1 to 1000 …..

How many times is 5 into4?

Another way of looking at this is to say, ‘how many times does 5 go into 4? ‘. We know that 2 goes into 4 twice (4 ÷ 2 = 2) and we know that 1 goes into 4 four times (4 ÷ 1 = 4), but 5 does not go into 4 because 5 is larger than 4.

How many times will the digit 5 appear between 1 and 100?

So, the total number of times digit 5 appears between 1 to 100 = 20 times.

How many fives are there in 2000?

Answer. Answer: Zero, there is no fives in 2000.

What two numbers make 1000?

Factors of 1000: 1 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500,and 1000. Prime Factorization of 1000: 1000 = 2 × 2 × 2 × 5 × 5 × 5.

Factors of 1000 in Pairs.
Pair Factorization Factor Pair
1 × 1000 = 1000 (1, 1000)
2 × 500 = 1000 (2, 500)
4 × 250 = 1000 (4, 250)
5 × 200 = 1000 (5, 200)

How many 2s are in 1000?

I think there should be an easier way to do this for large number such as 1000. There are actually 20 occurrences of the digit “2” in the numbers {1,2,⋯,100}, though there are 19 numbers in the same range where the digit “2” appears.

What is a square root of 1000?

The value of the square root of 1000 is approximately equal to 31.622.

How many times a comes in 1 to 1000?

Therefore when we list numbers from 1 to 1000 the digit 1 is written 301 times.

How many whole numbers are there in 1000?

One thousand is shown as 1,000. You would have to count one thousand whole numbers starting from zero and ending with one thousand, just like you would count ten whole numbers to count from zero to ten.

How many 5s are there in 40?

Answer. 8 fives are there in 40.

How many times can 5 go in to 44?

8 times 5 goes into 44 and gives the remainder as 4.

How many 1’s are there from 1 to 1000?

Therefore when we list numbers from 1 to 1000 the digit 1 is written 301 times.

How many 7s are there between 1 and 1000?

Every number between 1–69 there are 7 sevens ,70–79 have 10 sevens and then 80–100 has 2 sevens which put the total from 1–100 down to 19. Now this pattern repeats till 1000 and you will have 200 7 until you reach 1000 but there are 99 extra sevens from 700–799. So the total sevens from 1–1000 is 299.

How many tens make up a thousand?

100 tens make 1 thousand.

How many times does the digit 5 occur in tens place in the natural numbers from 100 to 1000?

Hence, the digit 5 appears 271 times from 1 to 1000.


How many times ‘5’ appears in natural numbers between 1 to 1000.
How many times ‘5’ appears in natural numbers between 1 to 1000.


how many times does 5 go into 1000

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The number of times the digit 5 will be written when class 11 maths CBSE

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How many factors does number 1000 have? – GeeksforGeeks

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Division ÷ | Basics of Arithmetic | SkillsYouNeed

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Some Quick Rules about Division

Dividing Larger Numbers

Division ÷ | Basics of Arithmetic | SkillsYouNeed
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How many times does 5 go into 1000?

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

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Long Division Calculator | Divide 1000 by 5 using Long Division Method

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How many times does 3/5 go into 2? – Quora

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The number of times the digit 5 will be written when class 11 maths CBSE

Complete step-by-step solution:

We have to make three cases for solving this problem. In the first case, we enlist the possibilities when 5 appears once in the digits from 1 to 1000 which we will find by selecting 1 position from 3 places and now 5 is gone and 9 digits are possible so multiplying the result of selecting 1 position out of 3 positions with ${{9}^{2}}$. In the second case, we will enlist the possibilities when 5 appears twice in the same way as we have shown earlier but now, we have to choose 2 positions from 3 places. In the third case, the possibility is 1 when all the three digits are 5 is 555. Now, add all these possibilities to get the answer.

We are asked to find the number of times 5 appears from 1 to 1000.

Now, in 1000 there are no 5 digits so 5 appears in one digit, two digits, and three digits numbers.

We are going to find the number of times 5 appears from 1 to 1000 by taking three cases. In the first case, 5 appears once, in the second case 5 appears twice and in the third case, 5 appears thrice and then adds all the three cases.

Case 1: When the digit 5 appears once.

_ _ _

In the three places above, first of all we are going to choose one place where 5 appears. The ways to select one position out of these three places is:

${}^{3}{{C}_{1}}$

Now, in the remaining 2 places, any 9 digits from 0 to 9 except 5 will appear so multiplying 9 by 9 and hence multiplying ${{9}^{2}}$ to above expression we get,

${}^{3}{{C}_{1}}{{\left( 9 \right)}^{2}}$

We know that, ${}^{n}{{C}_{1}}=n$. Using this relation in the above expression we get,

$\begin{align}

& 3\left( 81 \right) \\

& =243 \\

\end{align}$

Case 2: When the digit 5 appears twice.

_ _ _

Now, the digits are appearing twice so we have to choose two places out of three places and the ways to select two places out of 3 are as follows:

${}^{3}{{C}_{2}}$

We know that, ${}^{n}{{C}_{r}}={}^{n}{{C}_{n-r}}$ using this relation in the above expression we get,

${}^{3}{{C}_{3-2}}={}^{3}{{C}_{1}}$

The above expression is reduced to 3.

Now we know that if in a number 5 appears twice then we have to multiply numbers by 2.

After the two places are occupied by 5 we are remaining with just one position so any of the 9 digits can be placed in that blank so multiplying 9 by 3 we get,

$\begin{align}

& 9\times 3 \times 2\\

& =54 \\

\end{align}$

Case3: When the digit 5 appears thrice.

Now we know that if in a number 5 appears thrice then we have to multiply numbers by 3.

There is only one possibility when 5 appears thrice is:

$555$

So the number will be $ 3 \times 1$.

Now, adding the result of cases 1, 2 and 3 we get,

$\begin{align}

& 243+54+3 \\

& =300 \\

\end{align}$

Hence, the digit 5 appears 300 times from 1 to 1000.

Hence, the correct option is (c).

You might think that we can count the digit 5 by first looking from 1 to 9, how many times 5 appear then from 10 to 99 how many times 5 appear then from 100 to 999 how many times digit 5 will appear. You can do it but it will consume a lot of time and you cannot afford that much time in the examination so it is better to do the problem in the way that we have solved above.

How many factors does number 1000 have?

How many factors does number 1000 have?

At the elementary level, factors and multiples are basic concepts that we study together. Factors of a number are defined as the number that gives zero remainders when they divide the specific number. Multiples are the numbers that are multiplied by another number to get the specific number.

In other words, factors of a number, when multiplied by a number, give the original number. Consider we have a number 10, its factors are 2 and 5 as the product of 2 and 5 gives us 10. Other factors of 10 are 10 and 1 as their multiplication also gives us 10.

The factors of a number can also be negative as the product of two negative numbers is positive, then -1 and -10 are also factors of 10. In total there are 8 factors of 10 i.e., 1, -1, 2, -2, 5, -5, 10, and -10 but only positive factors are considered when solving a problem also fractions are not considered as factors of any number.

Properties of Factors

Factors of a number have certain properties. Some properties of factors are given below:

Every number other than 0 and 1 possesses at least two factors.

The factor of a given number is always less than the number.

The total number of factors of a given number is always finite.

To determine factors, division and multiplication are used.

Steps to calculate Factors

To determine the factors of a given number we need to:

Write the given number in the terms of the product of two numbers in different ways.

All the numbers that are written in these products are the factors of the given number.

What are the factors of 1000?

Solution:

Given that the number is 1000. Write the number in form of the product of two numbers. 1000 = 1 × 1000 1000 = 2 × 500 1000 = 4 × 250 1000 = 5 × 200 1000 = 8 × 125 1000 = 10 × 100 1000 = 20 × 50 1000 = 25 × 40 All the numbers in the product are factors. Hence, the factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500 and 1000. Thus, the total number of factors is 16.

Similar questions

Question 1: Find the factors of 125?

Solution:

Given that the number is 125. Write the number in the form of the product of two numbers. 125 = 1 × 125 125 = 5 × 25 All the numbers in the product are factors. Hence, the factors are 1, 5, 25 and 125. Thus, the number of factors are 4.

Question 2: Find the factors of 64?

Solution:

Given that the number is 64. Write the number in the form of the product of two numbers. 64 = 1 × 64 64 = 2 × 32 64 = 4 × 16 64 = 8 × 8 All the numbers in the product are factors. Hence, the factors of 64 are 1, 2, 4, 8, 16, 32 and 64. Thus, the number of factors is 7.

Question 3: Find the factors of 600?

Solution:

Given that the number is 600. Write the number in the form of the product of two numbers. 600 = 1 × 600 600 = 2 × 300 600 = 3 × 200 600 = 4 × 150 600 = 5 × 120 600 = 6 × 100 600 = 8 × 75 600 = 10 × 60 600 = 12 × 50 600 = 15 × 40 600 = 20 × 30 600 = 24 × 25 All the numbers in the product are factors. Hence, the factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600. Thus, the number of factors is 24.

Basics of Arithmetic

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Division ‘÷’ | Basics of Arithmetic See also: Fractions

This page covers the basics of Division (÷).

See our other arithmetic pages for discussion and examples of: Addition (+), Subtraction (-) and Multiplication (×).

Division

The usual written symbol for division is (÷). In spreadsheets and other computer applications the ‘/’ (forward slash) symbol is used.

Division is the opposite of multiplication in mathematics.

Division is often considered the most difficult of the four main arithmetic functions. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use a calculator for more tricky calculations without making mistakes.

Division allows us to divide or ‘share’ numbers to find an answer. For example, let’s consider how we would find the answer to 10 ÷ 2 (ten divided by two). This is the same as ‘sharing’ 10 sweets between 2 children. Both children must end up with the same number of sweets. In this example the answer is 5.

Some Quick Rules about Division: When you divide 0 by another number the answer is always 0. For example: 0 ÷ 2 = 0. That is 0 sweets shared equally among 2 children – each child gets 0 sweets.

When you divide a number by 0 you are not dividing at all (this is quite a problem in mathematics). 2 ÷ 0 is not possible. You have 2 sweets but no children to divide them among. You cannot divide by 0.

When you divide by 1, the answer is the same as the number you were dividing. 2 ÷ 1 = 2. Two sweets divided by one child.

When you divide by 2 you are halving the number. 2 ÷ 2 = 1.

Any number divided by the same number is 1. 20 ÷ 20 = 1. Twenty sweets divided by twenty children – each child gets one sweet.

Numbers must be divided in the correct order. 10 ÷ 2 = 5 whereas 2 ÷ 10 = 0.2. Ten sweets divided by two children is very different to 2 sweets divided by 10 children.

All fractions such as ½, ¼ and ¾ are division sums. ½ is 1 ÷ 2. One sweet divided by two children. See our page Fractions for more information.

Multiple Subtractions

Just as multiplication is a quick way of calculating multiple additions, division is a quick way of performing multiple subtractions.

For example:

If John has 10 gallons of fuel in his car and uses 2 gallons a day how many days before he runs out?

We can work this problem out by doing a series of subtractions, or by counting backwards in steps of 2.

On day 1 John starts with 10 gallons and ends with 8 gallons. 10 – 2 = 8

John starts with gallons and ends with gallons. On day 2 John starts with 8 gallons and ends with 6 gallons. 8 – 2 = 6

John starts with gallons and ends with gallons. On day 3 John starts with 6 gallons and ends with 4 gallons. 6 – 2 = 4

John starts with gallons and ends with gallons. On day 4 John starts with 4 gallons and ends with 2 gallons. 4 – 2 = 2

John starts with gallons and ends with gallons. On day 5 John starts with 2 gallons and ends with 0 gallons. 2 – 2 = 0

John runs out of fuel on day 5.

A quicker way of performing this calculation would be to divide 10 by 2. That is, how many times does 2 go into 10, or how many lots of two gallons are there in ten gallons? 10 ÷ 2 = 5.

The multiplication table (see multiplication) can be used to help us find the answer to simple division calculations.

In the example above we needed to calculate 10 ÷ 2. To do this, using the multiplication table locate the column for 2 (the red shaded heading). Work down the column until you find the number you are looking for, 10. Move across the row to the left to see the answer (the red shaded heading) 5.

Multiplication Table × 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 30 35 40 45 50 6 6 12 18 24 30 36 42 48 54 60 7 7 14 21 28 35 42 49 56 63 70 8 8 16 24 32 40 48 56 64 72 80 9 9 18 27 36 45 54 63 72 81 90 10 10 20 30 40 50 60 70 80 90 100

We can work out other simple division calculations using the same method. 56 ÷ 8 = 7 for example. Find 7 on the top row, look down the column until you find 56, then find the corresponding row number, 8.

If possible, you should try to memorise the multiplication table above because it makes solving simple multiplication and division calculations much quicker.

Dividing Larger Numbers

You can use a calculator to perform division calculations, especially when you are dividing larger numbers that are more difficult to work out in your head. However, it is important to understand how to perform division calculations manually. This is helpful when you don’t have a calculator to hand, but is also essential for making sure that you use the calculator correctly and don’t make mistakes. Division can look daunting but in fact, as with most arithmetic, it is logical.

As with all mathematics, it is easiest to understand if we work through an example:

Dave’s car needs new tyres. He needs to replace all four tyres on the car, plus the spare.

Dave has had a quote from a local garage for £480 to include the tyres, fitting and disposal of the old tyres. How much does each tyre cost?

The problem we need to calculate here is 480 ÷ 5. This is the same as saying how many times will 5 go into 480?

Conventionally, we write this as:

5 4 8 0

We work from left to right in a logical system.

We start by dividing 4 by 5 and immediately hit a problem. 4 does not divide by 5 to leave a whole number, as 5 is greater than 4.

The language we use in maths can be confusing. Another way of looking at this is to say, ‘how many times does 5 go into 4?’. We know that 2 goes into 4 twice (4 ÷ 2 = 2) and we know that 1 goes into 4 four times (4 ÷ 1 = 4), but 5 does not go into 4 because 5 is larger than 4. The number we are dividing by (in this case 5) needs to go into the number we are dividing into (in this case 4) a whole number of times. It doesn’t have to be an exact whole number, as you will see.

Since 5 does not go into 4 we put a 0 in the first (hundreds) column. For help with the hundreds, tens and units columns see our page on numbers.

Hundreds Tens Units 0 5 4 8 0

Next, we move to the right to include the tens column. Now we can see how many times 5 goes into 48.

5 does go into 48 as 48 is greater than 5. However, we need to find out how many times it goes.

If we refer to our multiplication table, we can see that 9 × 5 = 45 and 10 × 5 = 50.

48, the number we’re looking for, falls between these two values. Remember, we are interested in the whole number of times that 5 goes into 48. Ten times is too many.

We can see that 5 goes into 48 a whole number (9) times, but not exactly, with 3 left over.

9 × 5 = 45

48 – 45 = 3

We can now say that 5 goes into 48 nine times, but with a remainder of 3. The remainder is what is left when we subtract the number we have found from the number we are dividing into: 48 – 45 = 3.

So 5 × 9 = 45, + 3 to get 48.

We can enter 9 in the tens column as our answer for the second part of the calculation and bring our remainder in front of our last number in the units column. Our last number becomes 30.

Hundreds Tens Units 0 9 5 4 8 30

We now divide 30 by 5 (or find out how many times 5 goes into 30). Using our multiplication table we can see the answer is exactly 6, with no remainder. 5 × 6 = 30. We write 6 in the units column of our answer.

Hundreds Tens Units 0 9 6 5 4 8 30

As there are no remainders, we have finished the calculation and have the answer 96.

Dave’s new tyres are going to cost £96 each. 480 ÷ 5 = 96 and 96 × 5 = 480.

Recipe Division

Our final example of division is based on a recipe. Often when cooking, recipes will tell you how much food they are going to make, enough to feed 6 people, for example.

The ingredients below are needed to make 24 fairy cakes, however, we only want to make 8 fairy cakes. We have modified the ingredients slightly for the benefit of this example (original recipe at: BBC Food).

The first thing we need to establish is how many 8’s there are in 24 – use the multiplication table above or your memory. 3 × 8 = 24 – if we divide 24 by 8 we get 3. Therefore we need to divide each ingredient below by 3 in order to have to right amount of mixture to make 8 fairy cakes.

Ingredients

120g butter, softened at room temperature

120g caster sugar

3 free-range eggs, lightly beaten

1 tsp vanilla extract

120g self-raising flour

1-2 tbsp milk

The amount of butter, sugar and flour are all the same, 120g. It is therefore only necessary to work out 120 ÷ 3 once, as the answer will be the same for those three ingredients.

3 1 2 0

As before we start in the left (hundreds) column and divide 1 by 3. However 3 ÷ 1 doesn’t go as 3 is greater than 1. Next, we look at how many times 3 goes into 12. Using the multiplication table if needed we can see that 3 goes into 12 exactly 4 times with no remainder.

0 4 0 3 1 2 0

120g ÷ 3 is therefore 40g. We now know that we’ll need 40g of butter, sugar and flour.

The original recipe calls for 3 eggs and we again divide by 3. So 3 ÷ 3 = 1, therefore one egg is needed.

Next the recipe calls for 1tsp (teaspoon) of vanilla extract. We need to divide one teaspoon by 3. We know that division can be written as a fraction, so 1 ÷ 3 is the same as ⅓ (one third). You’ll need ⅓ of a teaspoon of vanilla extract – although in reality it may be difficult to accurately measure ⅓ of a teaspoon!

Estimating can be useful, and units can be changed! We can look at this another way, if we know that one teaspoon is the same as 5ml or 5 millilitres. (If you need some help with units, see our page on Systems of Measurement.) If we want to be more accurate, we can try dividing 5ml by 3. 3 goes into 5 once (3) with 2 left over. 2 ÷ 3 is the same as ⅔, so 5ml divided by 3 gives us 1⅔ml, which in decimals is 1.666ml. We can use our estimating skills and say that one teaspoon divided by three is a tiny bit more than one and a half ml. If you have some of those tiny measuring spoons in your kitchen, you can be super-accurate! We can estimate the answer, to check that we are correct. Three lots of 1.5 ml gives us 4.5 ml. So three lots of ‘a tiny bit more than 1.5 ml’, gives us around 5ml. Recipes are rarely an exact science, so a little bit of estimating can be fun and good practice for our mental arithmetic.

Next the recipe calls for 1–2 tbsp of milk. That is between 1 and 2 tablespoons of milk. We have no definitive amount and how much milk you add will be dependent on your mixture consistency.

We already know that 1 ÷ 3 is ⅓ and 2 ÷ 3 is ⅔. We will therefore need ⅓–⅔ of a tablespoon of milk to make eight fairy cakes. Let’s look at this another way. One tablespoon is the same as 15ml. 15 ÷ 3 = 5, so ⅓–⅔ of a tablespoon is the same as 5–10ml, which is the same as 1–2 teaspoons!

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