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Exercises Numbers, fractions and percents

Example 1.127 from Elementary Algebra, 1.9 Properties of Real Numbers

Properties of Real Numbers: example 1.127

Simplify: ⓐ $−8 \cdot 0$ ⓑ $\frac{0}{−2}$ ⓒ $\frac{−32}{0} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

ⓐ
The product of any real number and 0 is 0. $\frac{0}{−6}$

ⓑ
The product of any real number and 0 is 0. $\begin{matrix} \frac{0}{−2} \\ 0 \end{matrix}$

ⓒ
Division by 0 is undefined. $\begin{matrix} \frac{−32}{0} \\ Undefined \end{matrix}$

Table 1.48

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify: ⓐ $−14 \cdot 0$ ⓑ $\frac{0}{−6}$ ⓒ $\frac{−2}{0} .$

How did it go?

PreviousProperties of Real Numbers: example 1.126 Next Properties of Real Numbers: example 1.128

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 1.9, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.