Question

Use the commutative law of addition to match the original expression on the left with its rewritten expression on the right.
35+82
7-3
15-9=6
27+13=40
9-6=15
3-7
13+27=40
27+40=13
82+35
cannot be rewritten

Answer 1

To apply the commutative law of addition (which states that a + b = b + a), we will match expressions on the left with their rewritten expressions on the right based on their equivalence.

1. **35 + 82** matches with **82 + 35**.
2. **7 - 3** cannot be rewritten using the commutative law, as it involves subtraction, not addition.
3. **15 - 9 = 6** cannot be rewritten using the commutative law, as it involves subtraction, not addition.
4. **27 + 13 = 40** matches with **13 + 27 = 40**.
5. **9 - 6 = 15** cannot be rewritten using the commutative law, as it involves subtraction, not addition.
6. **3 - 7** cannot be rewritten using the commutative law, as it involves subtraction, not addition.
7. **13 + 27 = 40** matches with **27 + 13 = 40** (same as above).
8. **27 + 40 = 13** cannot be rewritten using the commutative law, as it is not an addition that is being reversed.
9. **82 + 35** matches with **35 + 82**.

So the valid matches using the commutative law of addition are:
- 35 + 82 ↔ 82 + 35
- 27 + 13 = 40 ↔ 13 + 27 = 40