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Exercises Numbers, fractions and percents

Example 5.18 from Prealgebra, 5.2 Decimal Operations

Decimal Operations: example 5.18

Multiply $5.63$ by factors of ⓐ $10$ ⓑ $100$ ⓒ $1000 .$

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
By looking at the number of zeros in the multiple of ten, we see the number of places we need to move the decimal to the right.

ⓐ

$56.3 (10)$

There is 1 zero in 10, so move the decimal point 1 place to the right.

$56.3$

ⓑ

$5.63 (100)$

There are 2 zeros in 100, so move the decimal point 2 places to the right.

$563$

ⓒ

$5.63 (1000)$

There are 3 zeros in 1000, so move the decimal point 3 places to the right.

A zero must be added at the end. $5,630$

Your turn

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

Multiply $2.58$ by factors of ⓐ $10$ ⓑ $100$ ⓒ $1000 .$

How did it go?

PreviousDecimal Operations: example 5.17 Next Decimal Operations: example 5.19

From Prealgebra (1st edition) by OpenStax (Rice University), section 5.2, 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.