Question

Match the following items.

1. (-14) + 81 = 81 + (-14)
distributive property
2. • = 1
commutative property of addition
3. 101 + (29 + 417) = (101 + 29) + 417
additive identity
4. (24 + 15) = • 24 + • 15
associative property of addition
5. -72 + 0 = -72
multiplicative inverse

Answer 1

there's a bit of info missing from some of these options but I will do my best to provide brief explanations of what these properties are so you can solve this problem

distributive: you can distribute a factor across multiple items in a factor to yield an expanded product, ex:

A(B+C) = A*B + A*C

commutative property of addition: changing the order of terms in addition does not change the sum, ex:

A + B = B + A

additive identity: adding 0 to a number does not change the number

A + 0 = A

associative property of addition: changing the parentheses in an addition problem has no effect on the sum

(A+B) + C = A + (B + C)

multiplicative inverse: multiplying a number by its multiplicative inverse yields 1 as the result

(1/A) * A = 1

Answer 2

anyway, that's a lot to take in, try to think about each of these explanations and see which of the options is the best match for each property