Chapter 1.7, Problem 50E

To determine

To calculate : the difference of $-41-\left(-9\right)$ .

Answer to Problem 50E

The difference of $-41-\left(-9\right)$ is $-32$ .

Explanation of Solution

Given information :

Consider, the expression provided in the question,

  $-41-\left(-9\right)$

Calculation :

To subtract an integer, add its opposite.

Therefore,

  $-41-\left(-9\right)=-41+9$

Since, the integers in the above expression are of different signs.

Therefore, subtract the lesser absolute value and use the sign of the number with greater absolute value.

Therefore, the differenceof the expression is:

  $\begin{array}{l}-41-\left(-9\right)=-41+9\\ -41-\left(-9\right)=-32\end{array}$

Hence,

The difference of the expression is $-32$ .