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Use additive inverses and their properties to find the equivalent expressions

Sagot :

Answer:

1. [tex]-6 + (-3)[/tex]

2. [tex]6 + 3[/tex]

3. [tex]-6 + 3[/tex]

4. [tex]6 + (-3)[/tex]

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:

[tex]1.\ 6 - (-3)[/tex]

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

So, the additive inverse is [tex]-6 + (-3)[/tex]

[tex]2.\ -6 -3[/tex]

Rule: -6 becomes 6 and -3 becomes 3

So, the additive inverse is [tex]6 + 3[/tex]

[tex]3.\ 6 - 3[/tex]

Rule: 6 becomes -6 and -3 becomes 3

So, the additive inverse is [tex]-6 + 3[/tex]

[tex]4.\ -6 - (-3)[/tex]

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

So, the additive inverse is [tex]6 + (-3)[/tex]

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