Question

Use additive inverses and their properties to find the equivalent expressions

Answer 1

Answer:

1. $-6 + (-3)$

2. $6 + 3$

3. $-6 + 3$

4. $6 + (-3)$

Step-by-step explanation:

Given

See attachment

Required

Determine the additive inverse of each

The rule of additive inverse is as follows;

• For any positive number (n), the additive inverse is (-n)

• And for any negative number (-n), the additive inverse is (n)

Using the above, the solution is as follows:

$1.\ 6 - (-3)$

Rule: 6 becomes -6 and - (-3) becomes +(-3)

So, the additive inverse is $-6 + (-3)$

$2.\ -6 -3$

Rule: -6 becomes 6 and -3 becomes 3

So, the additive inverse is $6 + 3$

$3.\ 6 - 3$

Rule: 6 becomes -6 and -3 becomes 3

So, the additive inverse is $-6 + 3$

$4.\ -6 - (-3)$

Rule: -6 becomes 6 and -(-3) becomes +(-3)

So, the additive inverse is $6 + (-3)$