Decompose 78 In Two Different Ways? The 89 Latest Answer

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How many ways can you decompose a number?

Decomposing by Place Value

You can decompose a number based on the ones, tens, hundreds, and thousands place. Let’s decompose the number 639 based on the place value of each number. The value of 6 is 600, because it’s in the hundreds place.

How do you find the factors of 78?

Factors of 78 in Pairs

The pair of numbers which gives 78 when multiplied is known as the pair factor of 78. Therefore, factors of 78 in pair are (1, 78), (2, 39), (3, 26), and (6, 13).

How do we decompose?

Vass, a Senior Staff Scientist at Oak Ridge National Laboratory and Adjunct Associate Professor at the University of Tennessee in Forensic Anthropology, human decomposition begins around four minutes after a person dies and follows four stages: autolysis, bloat, active decay, and skeletonization.

Prime decomposition of 78

The stages of human decomposition

Human decomposition is a natural process that involves the breakdown of tissue after death. While the rate of human decomposition varies based on several factors, including weather, temperature, humidity, pH and oxygen levels, cause of death, and body position, all human bodies go through the same four stages of human decomposition.

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What Are the Four Stages of Human Decomposition?

according to dr Arpad A. Vass, senior staff scientist at Oak Ridge National Laboratory and adjunct associate professor at the University of Tennessee of forensic anthropology, human decomposition begins about four minutes after a person’s death and follows four stages: autolysis, bloating, active decay, and skeletonization.

Stage One: Autolysis

The first stage of human decomposition is called autolysis or self-digestion and begins immediately after death. Once blood circulation and breathing stop, the body has no way of getting oxygen or removing waste. Excess carbon dioxide creates an acidic environment, causing the membranes in cells to rupture. The membranes release enzymes that begin to eat the cells inside out.

Rigor mortis causes muscle stiffness. Small blisters filled with nutrient-rich fluid form on the internal organs and the surface of the skin. The body appears shiny due to burst blisters and the top layer of skin begins to peel off.

Stage Two: Bloating

Stage two of the human decomposition consists of flatulence of the body. Leaked enzymes from the first stage begin to produce a lot of gases. The gases can cause the human body to double in size and appear bloated. The sulfur-containing compounds released by the bacteria also cause skin discoloration. Insect activity may also be present.

The microorganisms and bacteria produce extremely unpleasant odors called putrefaction. These smells often alert others that a person has died and can linger long after a corpse has been removed.

Stage Three: Active Decay

Fluids released through vents indicate the beginning of active decay. Organs, muscles and skin are liquefied. As all of the body’s soft tissues decompose, hair, bone, cartilage, and other by-products of decay are left behind. The carcass loses most of its mass during this phase.

Stage four: skeletonization

Because the skeleton has a rate of decomposition based on the loss of organic (collagen) and inorganic components, there is no set time frame for when skeletonization occurs.

Timeline of body decomposition

24-72 hours after death – internal organs decompose.

3-5 days after death – the body begins to swell and blood-filled foam comes out of the mouth and nose.

8-10 days after death – the body turns from green to red as the blood breaks down and the organs in the abdomen accumulate gas.

Several weeks after death – nails and teeth fall out.

1 month after death – the body begins to liquefy.

How can the stages of human decomposition affect the location of an unattended or traumatic death?

An unattended death and the accompanying bacterial, mold and insect infestations can cause damage to a building’s structure and personal belongings. After a body has been properly removed, a professional accident and crime scene cleanup company should always be called to clean and disinfect the site. And while an unattended death could result in exposure to dangerous bloodborne pathogens, decomposition itself is a perfectly natural process.

Aftermath takes great care to ensure that our sensitive, compassionate and discreet teams clean up the death site as quickly as possible so families can begin the healing process. Contact us online 24 hours a day or at (877) 872-4339 for more information.

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Sources:

Compound Interest: http://www.compoundchem.com/2014/10/30/decompositionodour/

EnkiVillage: http://www.enkivillage.com/how-long-does-it-take-for-a-body-to-decompose.html#affix-section-1

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How do you decompose 60?

60 is already decomposed because of the zero in the one’s place. You could also express 60 as (6×10) or as (6×10) + (0x1).

What decompose means in math?

Decompose: To decompose in math is to break down numbers into parts.

Prime decomposition of 78

MITECS Competences & ISTE STANDARDS

MITECS: Michigan introduced the “ISTE standards for students” called MITECS (Michigan Integrated Technology Competencies for Students) in 2018.

Enabled Learner

1a. Students develop learning goals in collaboration with an educator, select the technology tools to achieve them, and revise the learning process as needed to meet the goal.

1c. Students use technology to receive feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.

Computational Thinker

5c. Students break down problems into component parts, extract key information, and develop descriptive models to understand complex systems or to facilitate problem solving.

What is decompose in kindergarten math?

Decomposing numbers means to break down numbers into their sub-parts. Common Core standards has kindergarten students decomposing numbers in two ways.

Prime decomposition of 78

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Decomposing numbers means breaking numbers into their subparts. Common Core Standards has kindergarten students break up numbers in two ways.

The first is to break down numbers into their tens and ones (emphasis is on the numbers 11-19), and the second is to show how any number from 1-10 can be constructed using a variety of addends.

I want to focus with you on the NBT.1 Common Core standard, which addresses the tens and units (or place value) aspect of breaking and creating numbers.

Let’s look at:

how it develops how we can practice regularly how we expand it for our advanced or accelerated children

Since there is so much to cover, I’ve broken it down into three parts. That’s part 1 – why should we teach this standard in kindergarten and why am I even talking about it so much on this blog?

Understand how to break down/compose numbers as a teacher

Okay teachers – let’s break it down. There are two main parts of this standard:

The first is to use objects and words to show that tens numbers have a group of tens and some ones.

The second expresses this breakdown using equations.

When I first came across this standard, I was confused and felt like I really didn’t understand the value of teaching it. I didn’t know what I would find if I taught it daily in our calendar routine and small group math class.

Why do we expect them to decompose and put numbers together?

{And why am I continuing to write about this?}

Let’s look at the long term. The simple answer is because it is valuable when students can see the groupings, relationships, and patterns in numbers. We lay the groundwork for students to eventually solve 53+12 and see that they can manipulate it:

50+15

or 60+5

or 50+10+3+2

or any other way of seeing the crowd in a way that makes sense for them.

Well, that’s the big picture and it brings us to the Common Core standards of older grade levels. So let’s bring it back to our kindergarten level.

We are working on understanding that the numbers 11-19 have a group of ten and then one.

Seeing numbers broken down into a pattern of their groupings of tens and then adding some ones makes those numbers tasty and easy.

Learning how numbers are composed and decomposed in this way gives them a “visual” picture (especially if you represent with ten frames) of how 6, 16 or 67 really look and are.

Connecting the visual and the number

The cool thing is that by teaching these basics how to compose and decompose the numbers 11-19 (and beyond) into their tens and ones, they actually understand why 16 has a one and then a six.

When that clicks, they’re so excited they can’t wait to see if their new understanding of “bigger numbers” applies. And when they start working on numbers up to 99, something really magical happens.

Basically, this standard is huge!

It gives meaning to the number form and fully translates to all other mathematical concepts. I’m not joking. I’ve never come across a standard (other than counting 1:1) that has so much influence over other standards and is the starting point for seeing kids grow by leaps and bounds in their math skills!

Here are some lesson plans I’ve written about so you can see them in action –

but don’t forget to read the next post in this series for easy ways to work on this key skill!

What can 78 be divided by?

Solution: The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78 .

Prime decomposition of 78

Factor 78

In mathematics, factors of 78 are the natural numbers that can divide the original number evenly. Alternatively, if the product of two natural numbers equals 78, then the two numbers are the required factors.

Factors of 78 divide the original number into equal parts. If we divide 78 by any of its factors, then the resulting quotient is an integer and the remainder is zero. Since 78 is an even number, it is also divisible by 2. Therefore 78 is a composite number and has more than two factors including 1, 2 and 79. To find more factors read this article.

How do I find the factors of 78?

Factors of 78 divide the original number exactly. We know that all numbers are the factors of themselves and also 1 is the factor of all numbers. Hence the two definite factors of 78 are 1 and 78. Now let’s find the other factors.

78 ÷ 1 = 78

78 ÷ 2 = 39

78 ÷ 3 = 26

78 ÷ 6 = 13

78 ÷ 13 = 6

78 ÷ 26 = 3

78 ÷ 39 = 2

78 ÷ 78 = 1

Therefore the factors of 78 are 1, 2, 3, 6, 13, 26, 39 and 78.

Pair factors of 78

If two integers are multiplied and the product is 78, then the pair of integers is called pair factors of 78.

1 × 78 = 78

2 × 39 = 78

3 × 26 = 78

6 × 13 = 78

Hence the pair factors are (1, 78), (2, 39), (3, 26), and (6, 13).

Similarly, we can write the negative pair factors that, after multiplication, give the original number.

-1 × -78 = 78

-2 × -39 = 78

-3 × -26 = 78

-6 × -13 = 78

Therefore, the negative pair factors are (-1, -78), (-2, -39), (-3, -26), and (-6, -13).

Prime factorization of 78

The prime factorization of 78 represents the multiplication of prime numbers equal to the original number. We need to check the prime numbers, 78 is divisible by to find the prime factors of 78.

List of prime numbers (between 1 and 78):

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73

Step 1: 78 is an even number. So divisible by 2.

78/2 = 39

Step 2: Since 39 is divisible by 3, so;

39/3 = 13

Step 3: Now 13 is itself a prime number. Because of this,

13/13 = 1

Now 1 is not divisible by any prime number. So the required prime factors are 2, 3, and 13.

Prime factorization of 78 = 2 x 3 x 13 exponential form = 21 x 31 x 131

Video lesson on prime factors

Solved examples

Q.1: What is the value of 78 divided by 13?

Solution: 78 divided by 13 = 78 ÷ 13 = 6

F.2: Find the sum of all factors of 78.

Solution: The factors of 78 are 1, 2, 3, 6, 13, 26, 39 and 78 .

Sum = 1 + 2 + 3 + 6 + 13 + 26 + 39 + 78 = 168

Therefore the sum of the factors of 78 is 168.

F.3: Find the greatest common divisor of 70 and 78.

Answer: First, let’s write the factors of the two numbers.

70 → 1, 2, 5, 7, 10, 14, 35, 70

78 → 1, 2, 3, 6, 13, 26, 39, 78

Hence the greatest common factor (GCF) of 70 and 78 = 2

practice questions

1. What is the average of the factors of 78?

2. Arrange the factors of 78 in descending order.

3. Find out if 6 is a factor of 78.

4. Calculate the GCF of 70, 72, 76 and 78.

5. Give any two pair factors of 78.

Register with us and download BYJU’S – The Learning App to learn more about factors and prime factors through interactive videos.

What two numbers multiplied equal 78?

78 = 1 x 78, 2 x 39, 3 x 26, or 6 x 13.

Prime decomposition of 78

78 is a composite number. 78 = 1 x 78, 2 x 39, 3 x 26, or 6 x 13. Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78. Prime factorization: 78 = 2 x 3 x 13.

78 is never a clue in the FIND THE FACTORS 1-10 or 1-12 puzzles.

Here is an example of a very creative cartoon by Marek Bennett. I especially like this one because it has a quote from G.H. Hardy, one of my heroes. Thanks to Hardy, the world knows about Ramanujan, possibly the greatest mathematician of the 20th century.

What does decompose a number mean?

Decompose: To decompose in math is to break down numbers into parts. Add: To add is to join two numbers together. Subtract: To subtract is to take away from another to see the difference. Place Value: Place value is the value represented by a digit in a number on the basis of its position in the number.

Prime decomposition of 78

MITECS Competences & ISTE STANDARDS

MITECS: Michigan introduced the “ISTE standards for students” called MITECS (Michigan Integrated Technology Competencies for Students) in 2018.

Enabled Learner

1a. Students develop learning goals in collaboration with an educator, select the technology tools to achieve them, and revise the learning process as needed to meet the goal.

1c. Students use technology to receive feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.

Computational Thinker

5c. Students break down problems into component parts, extract key information, and develop descriptive models to understand complex systems or to facilitate problem solving.

Decomposing numbers in different ways-Grade 2

Decomposing numbers in different ways-Grade 2
Decomposing numbers in different ways-Grade 2


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How to Decompose Numbers in Math – Video & Lesson Transcript

Decomposition by place value

However, this method of decomposing numbers works best for numbers less than 10. The more common use for decomposing numbers is place value. Breaking down 2, 3, and 4 digit numbers by their place value can really help you understand what a number is made of. You can break down a number into units, tens, hundreds, and thousands. Let’s break down the number 639 based on the place value of each number.

Hundreds Tens One Decomposes 6 3 9 600 + 30 + 9

The value of 6 is 600 because it’s in the hundreds place. The value of 3 is 30 because it’s in the tens place, and 3 tens is 30. The value of 9 is 9 because it’s in the ones place. So, broken down, the number 639 would be written as 600 + 30 + 9.

Let’s look at another example of decomposing a number based on place value:

Composing and Decomposing Numbers

Assemble and decompose numbers

349 consists of hundreds tens 3 4 9

Compose

So 349 is made up of 3 hundreds, 4 tens and 9 ones, in other words:

300 + 40 + 9 ⇒ 349

“Compose”

Example: Form 2 hundreds, 7 tens and 9 ones. 200 + 70 + 9 = 279

Decompose

Decomposition is when we break the number apart:

349 ⇒ 300 + 40 + 9

“Decomposition”

Example: Decompose 3,456 3,456 = 3,000 + 400 + 50 + 6

Standard and extended form

Some call the two different forms “Standard” and “Advanced”:

349 300 + 40 + 9 Advanced Standard Form

Example: Put 925 in the expanded form 925 = 900 + 20 + 5

decimal numbers

We can also compose and decompose decimals:

37.2 ⇒ 30 + 7 + 0.2

“Decomposition”

4 + 0.7 + 0.08 ⇒ 4.78

“Compose”

Prime decomposition of 78

Results:

78 is a composite number because 78 can be divided by one, by itself, and by at least 2, 3, and 13. A composite number is an integer that can be divided by at least one other natural number besides itself and 1, without leaving a remainder (divided exactly).

The factorization or decomposition of 78 = 2•3•13. Notice that it’s written here in exponential form.

The prime factors of 78 are 2, 3, and 13. It is the list of prime factors of the integer.

The number of prime factors of 78 is 3. Factor tree or prime number decomposition for 78 Since 78 is a composite number, we can draw its factor tree: The number is a composite number because 78 can be divided by one, by itself and at least by 2, 3 and 13. A composite number is an integer that can be evenly divided by at least one natural number other than itself and 1. The factorization or decomposition of = 2•3•13. Notice that it’s written here in exponential form. The prime factors of are 2, 3 and 13. It is the list of prime factors of the integer. The number of prime factors of 78 is 3.

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