Use the commutative law of addition to match the original expression on the left with its rewritten expression on the right.

Question

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