Chapter 0, Problem 12PRT

To determine

To calculate: The value of fraction $-22÷11$ .

Answer to Problem 12PRT

The value of fraction is $-2$ .

Explanation of Solution

Given information:

The given fraction is: $-22÷11$ .

Formula used:

The product or quotient of two numbers having different signs is negative.

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:

In the given fraction

  $-22÷11$

Two numbers having different signs so the value of fraction is negative.

Given fraction is represented as multiplication by reciprocal

  $\begin{array}{c}-22÷11=-22(\frac{1}{11})\\ =\frac{-2\times 11}{11}\end{array}$

By canceling out common factor $11$ from numerator and denominator, $-22÷11=-2$ .

Thus, the value of fraction is $-2$ .