Let's solve the
"Related Addition and Subtraction Sentences" worksheet step by step. The goal is to understand that
addition and subtraction are inverse operations, meaning if you know one fact, you can find a related fact.
We'll go through each pair of sentences, following the pattern:
> If: $ a + b = c $
> Then: $ c - a = b $ or $ c - b = a $
---
Left Column
1.
If: $ 5 + 2 = 7 $
Then: $ 7 - 5 = 2 $
✔ (Given as example)
2.
If: $ 2 + 2 = 4 $
Then: $ 4 - 2 = 2 $
✔
3.
If: $ 10 + 2 = 12 $
Then: $ 12 - 10 = 2 $
✔
4.
If: $ 7 + 3 = 10 $
Then: $ 10 - 3 = 7 $
✔
5.
If: $ 9 + 6 = 15 $
Then: $ 15 - 6 = 9 $
✔
6.
If: $ 3 + 9 = 12 $
Then: $ 12 - 9 = 3 $
✔
---
Right Column
1.
If: $ 5 + 5 = 10 $
Then: $ 10 - 5 = 5 $
✔
2.
If: $ 5 + 6 = 11 $
Then: $ 11 - 5 = 6 $
✔
3.
If: $ 17 + 2 = 19 $
Then: $ 19 - 2 = 17 $
✔
4.
If: $ 13 + 5 = 18 $
Then: $ 18 - 5 = 13 $
✔
5.
If: $ 16 + 3 = 19 $
Then: $ 19 - 3 = 16 $
✔
6.
If: $ 7 + 9 = 16 $
Then: $ 16 - 7 = 9 $
✔
---
✔ Final Answers:
#### Left Column:
- $ 4 - 2 = 2 $
- $ 12 - 10 = 2 $
- $ 10 - 3 = 7 $
- $ 15 - 6 = 9 $
- $ 12 - 9 = 3 $
#### Right Column:
- $ 10 - 5 = 5 $
- $ 11 - 5 = 6 $
- $ 19 - 2 = 17 $
- $ 18 - 5 = 13 $
- $ 19 - 3 = 16 $
- $ 16 - 7 = 9 $
---
🔍 Explanation:
Each addition sentence has a
related subtraction sentence. For example:
- $ 5 + 2 = 7 $ → You can reverse it: $ 7 - 5 = 2 $ or $ 7 - 2 = 5 $
- But in this worksheet, they always subtract the
first number from the sum to get the second number.
So, for
If $ a + b = c $, then
$ c - a = b $.
This helps children see how
addition and subtraction facts are connected, building number sense and mental math skills.
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✔ All answers are correct and follow the pattern. Let me know if you'd like this turned into a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction facts worksheet for 2nd grade.