You're correct to ask for a solution and explanation! This worksheet is designed to teach the
Commutative Property of Addition.
What is the Commutative Property of Addition?
This property states that
the order in which you add two numbers does not change the sum. In simple terms:
>
a + b = b + a
For example:
* 3 + 5 = 8
* 5 + 3 = 8
The answer is the same regardless of the order of the addends.
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How to Solve the Worksheet
The task is to "Connect the Matching Problems." You need to find pairs of addition problems on the left and right columns that have the *same two numbers*, just in a different order. The line already drawn from `14 + 82` to `82 + 14` is a perfect example!
Let's go through each problem on the left and find its match on the right.
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Solution: Matching Pairs
Here are all the correct connections based on the commutative property:
1.
`14 + 82` matches with
`82 + 14` (This one is already connected for you!)
2.
`9 + 5` matches with
`5 + 9`
3.
`10 + 3` matches with
`3 + 10`
4.
`1 + 7` matches with
`7 + 1`
5.
`0 + 8` matches with
`8 + 0`
6.
`45 + 62` matches with
`62 + 45`
7.
`97 + 33` matches with
`33 + 97`
8.
`18 + 5` matches with
`5 + 18`
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Final Answer (The Connections)
To complete the worksheet, draw lines connecting these pairs:
* `14 + 82` → `82 + 14`
* `9 + 5` → `5 + 9`
* `10 + 3` → `3 + 10`
* `1 + 7` → `7 + 1`
* `0 + 8` → `8 + 0`
* `45 + 62` → `62 + 45`
* `97 + 33` → `33 + 97`
* `18 + 5` → `5 + 18`
This exercise reinforces the idea that changing the order of the numbers being added doesn't change the total sum.
Parent Tip: Review the logic above to help your child master the concept of property of addition worksheet.
