Q7. - Algebra 1

Question

Find each sum or difference.

$50-82$

Step-by-Step Solution

Answer

The difference of numbers is – 32.

Step 1. Rewrite as an addition.

To subtract 82, we will add its inverse. So, $50-82=50+(-82)$.

Step 2 Determine to add or subtract.

Since 50 and – 82 are of opposite signs. So we will subtract them.

Step 3. Determine the sign.

Subtract the absolute values. Since, |–82| is greater than |50|, so the result will be negative. 
 
We can write $50+(-82)=-\left(\right|-82|-|50\left|\right)$

Step 4. Simplify.

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

So, $-\left(\right|-82|-|50\left|\right)=-(82–50)=-32$.