Question

Find each sum or difference.

$41+\left(-56\right)$

Short answer

The sum of the numbers is –15.

Step-by-step solution

Step 1. Determine to add or subtract.

Since 41 and – 56 are of opposite signs. So we will subtract them.

Step 2. Determine the sign.

Subtract the absolute values. Since, |–56| is greater than |41|, so the result will be negative.

We can write$41+(–56)=–\left(\right|–56|–|41\left|\right)$

Step 3. Simplify.

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

So,$-\left(\right|-56|-|41\left|\right)=-(56–41)=-15$