Chapter 12, Problem 3CLR

To determine

To Evaluate: The simplified value of the expression $c÷e$ where $a=-1$ , $b=1$ , $c=0$ , $d=3$ and $e=-\frac{5}{2}$ .

Answer to Problem 3CLR

The value of the expression $c÷e$ is $0$ .

Explanation of Solution

Given information:

The expression is $c÷e$ and the values of variables are $a=-1$ , $b=1$ , $c=0$ , $d=3$ and $e=-\frac{5}{2}$ .

Formula used:

An algebraic expression may be replaced by numerical expression when the value of variable plugged in the expression.

Zero divided by any number except zero is zero that is,

  $0÷a=0$

Where, $a$ is any real number .

Calculation:

Consider the expression $c÷e$ and values of variable $a=-1$ , $b=1$ , $c=0$ , $d=1$ and $e=-\frac{5}{2}$ .

Recall that an algebraic expression may be replaced by numerical expression when the value of variable plugged in the expression.

Use it, the expression $c÷e$ replace as:

  $0÷\left(-\frac{5}{2}\right)$

Again recall that zero divided by any number except zero is zero that is,

  $0÷a=0$

Where, $\text{'}a\text{'}$ is any real number.

Therefore,

  $0÷\left(-\frac{5}{2}\right)=0$

Thus, the value of the expression $c÷e$ is $0$ .