Question

How can the additive inverse be used to evaluate the problem below?

-3-(-6)

1-Because 3+(-6) is an equivalent expression, the answer is -3.
2-Because 3+(-6) is an equivalent expression, the answer is 3.
3-Because -3+6 is an equivalent expression, the answer is -3.
4-Because -3+6 is an equivalent expression, the answer is 3.

Answer 1

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Explanation:

Answer 2

4-Because -3+6 is an equivalent expression, the answer is 3.

Explanation:

Given expression is -3-(-6)

This can be represented as a binary operation between 2 negative integers a and b where a corresponds to -3 and b corresponds to -6. The binary operation involved is that of subtraction.

This can equivalently be expressed as follows:

`\[a-b\]`

=
`\[a+(-b)\]`

Substituting the values of a and b,

=
`\[-3+(-(-6))\]`

=
`\[-3+6\]`

=
`\[3\]`

Among the given options, option 4 is correct.