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Exercises Numbers, fractions and percents

Example 1.47 from Prealgebra, 1.4 Multiply Whole Numbers

Multiply Whole Numbers: example 1.47

Multiply:

ⓐ $47 \cdot 10$
ⓑ $47 \cdot 100 .$

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

ⓐ $47 \cdot 10$ . $\begin{matrix} 47 \\ \underset{___}{\times 10} \\ 00 \\ \underset{___}{470} \\ 470 \end{matrix}$

ⓑ $47 \cdot 100$ $\begin{matrix} 47 \\ \underset{_____}{\times 100} \\ 00 \\ \underset{_____}{\begin{matrix} 000 \\ 4700 \end{matrix}} \\ 4,700 \end{matrix}$

When we multiplied $47$ times $10,$ the product was $470 .$ Notice that $10$ has one zero, and we put one zero after $47$ to get the product. When we multiplied $47$ times $100,$ the product was $4,700 .$ Notice that $100$ has two zeros and we put two zeros after $47$ to get the product.

Do you see the pattern? If we multiplied $47$ times $10,000,$ which has four zeros, we would put four zeros after $47$ to get the product $470,000 .$

Your turn

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

Multiply:

ⓐ $54 \cdot 10$
ⓑ $54 \cdot 100 .$

How did it go?

PreviousMultiply Whole Numbers: example 1.46 Next Multiply Whole Numbers: example 1.48

From Prealgebra (1st edition) by OpenStax (Rice University), section 1.4, 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.