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Use additive inverses and their properties to find the equivalent expressions.

Answer 1

6 - (- 3) arrow goes to 6 + 3

6 - 3 arrow goes to 6 + (- 3)

- 6 - (- 3) arrow goes to -6 + 3

- 6 - 3 arrow goes to - 6 + (- 3)

Answer 2

Equivalent expression:

a) -9

b) 3

c) 9

d) -3

Explanation:

The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

An Additive inverse of a positive integer is a negative integer and vice versa.

For example:

5 -5 = 0

The additive inverse of 5 = -5

For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 6 -(-3)

Additive inverse = - 6 + (-3)

= -6 - 3 = - 9

b) -6 -3

Additive inverse = 6 +(-3)

= 6 - 3 = 3

c) 6 - 3

Additive inverse = 6 + 3

= 9

d) -6 - (-3)

Additive inverse = -6 + 3

= -3