Question

In the following exercise, simplify each expressions.

(a) $46-\left(-37\right)$

(b)$46+37$

Short answer

Part (a) The simplified value is 83.

Part (b) The simplified value is 83.

Step-by-step solution

Part (a) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a-b=a+\left(-b\right)$

Part (a) Step 2. Calculation.

Add the opposite of the opposite of 37 with 46.

$\begin{array}{rcl}46-\left(-37\right)& =& 46+37\\ & =& 83\end{array}$

Part (b) Step 1. Calculation.

Add the numbers 46 and 37.

$46+37=83$

Part (b) Step 2. Conclusion.

The simplified value of $46+37$is 83.