2+2+2 = 3+3 Above said this was incorrect selection. Both sides equal 6. The one below has two different answers. Why wouldn't it be this one?

In the document, It says that how the numbers are grouped does not change the the final answer. This means that while the number stay the same on both sides, the way they are grouped no longer matters.

I am in 7th grade and this was somewhat easy. but what is the point of properties of addition?

Properties of addition help make it easier to solve problems. Think of them as a special trick that lets you "break the rules" and simplify the problem.

all of this makes perfect since

are you sure "all of this makes perfect SINCE"

I got a very IMPORTANT question is apples good to eat?

Yes, apples are very VERY good to eat

8x+7=21. Firstly, subtract 7 from both sides. This way you can isolate the variable. 8x=14. Then, divide both sides by 8. This ensures you get just x on one side, so you can have a strict x=? This comes out to x=7/4, or 1.75

Main content

6th grade

Course: 6th grade > Unit 6

Lesson 1: Properties of numbers

Properties of addition

Google Classroom

Explore the commutative, associative, and identity properties of addition.

In this article, we'll learn the three main properties of addition. Here's a quick summary of these properties:

Commutative property of addition: Changing the order of addends does not change the sum. For example, 4, plus, 2, equals, 2, plus, 4.

Associative property of addition: Changing the grouping of addends does not change the sum. For example, left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

Identity property of addition: The sum of 0 and any number is that number. For example, 0, plus, 4, equals, 4.

Commutative property of addition

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example:

4, plus, 2, equals, 2, plus, 4

Notice how both sums are 6 even though the ordering is reversed.

[Help me understand how this works!]

Here's another example with more addends:

1, plus, 2, plus, 3, plus, 4, equals, 4, plus, 3, plus, 2, plus, 1

Which of these is an example of the commutative property of addition?

Associative property of addition

The associative property of addition says that changing the grouping of the addends does not change the sum. Here's an example:

start color #11accd, left parenthesis, 2, plus, 3, right parenthesis, plus, 4, end color #11accd, equals, start color #e07d10, 2, plus, left parenthesis, 3, plus, 4, right parenthesis, end color #e07d10

Remember that parentheses tell us to do something first. So here's how we evaluate the left-hand side:

empty space, start color #11accd, left parenthesis, 2, plus, 3, right parenthesis, plus, 4, end color #11accd

equals, 5, plus, 4

equals, 9

And here's how we evaluate the right-hand side:

empty space, start color #e07d10, 2, plus, left parenthesis, 3, plus, 4, right parenthesis, end color #e07d10

equals, 2, plus, 7

equals, 9

Notice that both sides sum to 9 even though we added the 2 and the 3 first on the left-hand side, and we added the 3 and the 4 first on the right-hand side.

Which of these is an example of the associative property of addition?

(Choice A)
2, plus, 2, plus, 2, equals, 3, plus, 3
(Choice B)
8, plus, left parenthesis, 2, plus, 5, right parenthesis, equals, left parenthesis, 8, plus, 2, right parenthesis, plus, 5

Identity property of addition

The identity property of addition says that the sum of 0 and any number is that number. Here's an example:

0, plus, 4, equals, 4

This is true because the definition of 0 is "no quantity", so when we add 0 to 4, the quantity of 4 doesn't change!

The commutative property of addition tells us that it doesn't matter if the 0 comes before or after the number. Here's an example of the identity property of addition with the 0 after the number:

6, plus, 0, equals, 6

Which of these is an example of the identity property of addition?

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Karen Payne
Posted 5 years ago. Direct link to Karen Payne's post “2+2+2 = 3+3 Above said th...”
2+2+2 = 3+3 Above said this was incorrect selection. Both sides equal 6. The one below has two different answers. Why wouldn't it be this one?
Button navigates to signup pageComment on Karen Payne's post “2+2+2 = 3+3 Above said th...”
(49 votes)
Answer
- Dimitri Portilla
  Posted 2 years ago. Direct link to Dimitri Portilla's post “In the document, It says ...”
  In the document, It says that how the numbers are grouped does not change the the final answer. This means that while the number stay the same on both sides, the way they are grouped no longer matters.
  Comment on Dimitri Portilla's post “In the document, It says ...”
  (25 votes)
Sub to SirSkittles
Posted 5 years ago. Direct link to Sub to SirSkittles's post “This is very simple... Ex...”
This is very simple...
Example:
2+3=3+2
This is the use of the commutative property of addition; for any of you guys who were having trouble.

Now if you want to know how to do the identity property of addition, look at this:
2+0=2
Very easy. :)
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(23 votes)
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carter middle school (go hornets)
Posted 9 months ago. Direct link to carter middle school (go hornets)'s post “I am in 7th grade and thi...”
I am in 7th grade and this was somewhat easy. but what is the point of properties of addition?
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- FredThePotato
  Posted 6 months ago. Direct link to FredThePotato's post “Properties of addition he...”
  Properties of addition help make it easier to solve problems. Think of them as a special trick that lets you "break the rules" and simplify the problem.
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  (8 votes)
kloe.brown@gmail.com
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whay does the earth move and we dont
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all of this makes perfect since
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Posted 3 months ago. Direct link to ⚡🌠Iris East🌠⚡'s post “This is too easy-peasy-le...”
This is too easy-peasy-lemon-squezy! I learned this last grade! Why do i have to do it again! But its for a good purpose do guys know why?
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what is 8x + 7 = 21
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- SP
  Posted 7 months ago. Direct link to SP's post “8x+7=21. Firstly, subtrac...”
  8x+7=21. Firstly, subtract 7 from both sides. This way you can isolate the variable.
  8x=14. Then, divide both sides by 8. This ensures you get just x on one side, so you can have a strict x=?
  This comes out to x=7/4, or 1.75
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I got a very IMPORTANT question is apples good to eat?
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