It looks like you've uploaded a worksheet titled
"Commutative Law of Addition (A)" from
Math-Drills.com, which asks students to rewrite each addition expression in a different order using the
commutative property of addition. The commutative property states that:
>
a + b = b + a
This means that changing the order of the addends does
not change the sum.
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✔ Here's how to solve each problem:
We will rewrite each expression by switching the order of the numbers being added.
Let’s go through them one by one:
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1.
1 + 4 = ___
→ 4 + 1
2.
8 + 8 = ___
→ 8 + 8 *(already commutative; same numbers)*
3.
9 + 10 = ___
→ 10 + 9
4.
19 + 1 = ___
→ 1 + 19
5.
31 + 22 = ___
→ 22 + 31
6.
28 + 1 = ___
→ 1 + 28
7.
3 + 87 = ___
→ 87 + 3
8.
188 + 3 = ___
→ 3 + 188
9.
387 + 57 = ___
→ 57 + 387
10.
210 + 392 = ___
→ 392 + 210
11.
430 + 150 = ___
→ 150 + 430
12.
34 + 397 = ___
→ 397 + 34
13.
296 + 515 = ___
→ 515 + 296
14.
100 + 794 = ___
→ 794 + 100
15.
130 + 890 = ___
→ 890 + 130
16.
899 + 74 = ___
→ 74 + 899
17.
1 + 14 + 1318 = ___
→ You can rearrange any order: e.g.,
1318 + 14 + 1 or
14 + 1 + 1318, etc.
→ Let's write:
1318 + 14 + 1
18.
2728 + 0.25 + ___
→ Wait — this seems incomplete. It says:
2728 + 0.25 + ___
But there is no third number. Possibly a typo?
Assuming it's meant to be:
2728 + 0.25 + ?
But since we’re applying the commutative law, perhaps it's asking to reorder the terms.
However, only two terms are given. Maybe it's a mistake.
Let's assume it should be something like:
2728 + 0.25 + 1 → then answer would be:
0.25 + 2728 + 1 or similar.
But as written, it's unclear.
→ Let's skip for now and check the next ones.
19.
3.362 + 1 + 1011 + 2095 = ___
→ Rearranged:
1 + 3.362 + 2095 + 1011
Or any order. For example:
2095 + 1011 + 1 + 3.362
20.
3.796 + 2958 + 47.04 + ___
→ Again, missing a number. This seems incomplete.
Probably a typo or formatting error.
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❗ Notes on Incomplete Problems:
- Problem #18:
2728 + 0.25 + ___ — missing value
- Problem #20:
3.796 + 2958 + 47.04 + ___ — also missing a number
These may have been cut off or misprinted. If you can provide the full expressions, I can complete them.
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✔ Final Answers (for complete problems):
| Problem | Answer |
|--------|--------|
| 1 | 4 + 1 |
| 2 | 8 + 8 |
| 3 | 10 + 9 |
| 4 | 1 + 19 |
| 5 | 22 + 31 |
| 6 | 1 + 28 |
| 7 | 87 + 3 |
| 8 | 3 + 188 |
| 9 | 57 + 387 |
| 10 | 392 + 210 |
| 11 | 150 + 430 |
| 12 | 397 + 34 |
| 13 | 515 + 296 |
| 14 | 794 + 100 |
| 15 | 890 + 130 |
| 16 | 74 + 899 |
| 17 | 1318 + 14 + 1 |
| 19 | 1 + 3.362 + 2095 + 1011 (or any reordering) |
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📝 Explanation:
The
commutative law of addition allows us to switch the order of the numbers being added without changing the result. For example:
- 5 + 3 = 8 and 3 + 5 = 8 → both are equal.
- So, 5 + 3 can be rewritten as 3 + 5.
This applies to all real numbers, including decimals and large numbers.
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If you can clarify the missing parts in problems 18 and 20, I’d be happy to finish those too!
Parent Tip: Review the logic above to help your child master the concept of basic equations worksheet.
