Chapter 0.5, Problem 9E

To determine

The simplified value of the expression $-32.4÷\left(21.3\right)$ .

Answer to Problem 9E

The simplified value of the expression $-32.4÷\left(21.3\right)$ is $-1.52$ .

Explanation of Solution

Given information:

The expression $-32.4÷\left(21.3\right)$ .

Formula used:

Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \text{ or }\cdot$ .

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 $-32.4÷\left(21.3\right)$ .

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,

  $\begin{array}{c}-32.4÷\left(21.3\right)=-32.4\left(\frac{1}{21.3}\right)\\ =\frac{-32.4}{21.3}\end{array}$

Recall that product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \text{ or }\cdot$ .

Simplify it,

  $\begin{array}{c}-32.4÷\left(21.3\right)=-32.4\left(\frac{1}{21.3}\right)\\ =\frac{-32.4}{21.3}\\ =-\frac{32.4}{21.3}\\ =-1.5211\end{array}$

Rounding off to the nearest hundredth, we get,

  $-32.4÷\left(21.3\right)=-1.52$

Thus, the simplified value of the expression $-32.4÷\left(21.3\right)$ is $-1.52$ .