Question

Evaluate the expression when $m=-6$.

$7-m$

Short answer

The value of the expression is$13$.

Step-by-step solution

Step 1. Apply the concept subtraction

Two numbers with similar signs get added and the resulting number carries the similar sign.

Two numbers with opposite signs get subtracted and the resulting number carries the sign of the larger number.

Step 2. Example for subtraction of numbers

The difference of the numbers $7-3=4$is positive because the larger number is positive as well.

And the difference of the numbers$3-7=-4$is negative because the larger number is negative as well.

Step 3. Evaluate the expression

To evaluate the expression $7-m$, substitute $-6$for m and simplify further as shown below

$7-m=7-\left(-6\right)$

To subtract $-6$, add its opposite $6$ and simplify further as shown below

$\begin{array}{c}7-m=7-\left(-6\right)\\ =7+6\\ =13\end{array}$

Thus, the value of the expression is $13$.