Q9. - Algebra 1

Question

Find each sum or difference.

$-80+102$

Step-by-Step Solution

Answer

The sum of numbers is 22.

Step 1. Determine to add or subtract.

Since – 80 and 102 are of opposite signs. So we will subtract them.

Step 2. Determine the sign.

We will subtract the absolute values. Since |102| is greater than $|-80|$. So the result will be a positive value.

We can write

$-80+102=(-80)+102=+\left(\right|102|-|-80\left|\right)$

Step 3. Simplify.

We know that the absolute values of the non-zero numbers are always positive.

So, $+\left(\right|102|-|-80\left|\right)=+(102–80)=+22=22$