Chapter 0, Problem 11PRT

To determine

To calculate: The simplified value of the expression $63÷(-9)$ .

Answer to Problem 11PRT

The simplified value of the expression $63÷\left(-9\right)$ is $-7$ .

Explanation of Solution

Given information:

The expression $63÷(-9)$ .

Formula used:

Division in real numbers is multiplication by reciprocal. If $b\ne 0$ , then,

  $\begin{array}{c}a÷b=a\left(\frac{1}{b}\right)\\ =\frac{a}{b}\end{array}$

Here, $\frac{1}{b}$ is the multiplicative inverse.

Calculation:

Consider the expression $63÷(-9)$ .

Recall that division in real numbers is multiplication by reciprocal. If $b\ne 0$ , then,

  $\begin{array}{c}a÷b=a\left(\frac{1}{b}\right)\\ =\frac{a}{b}\end{array}$

Here, $\frac{1}{b}$ is the multiplicative inverse.

Apply it,

  $\begin{array}{c}63÷\left(-9\right)=63\left(\frac{1}{-9}\right)\\ =\frac{9\times 7}{-9}\end{array}$

Canceling out common factor $9$

  $63÷(-9)=\frac{7}{-1}$

Fraction having different signs so quotient is negative.

Thus, the simplified value of the expression $63÷\left(-9\right)$ is $-7$ .