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Example 1.99 from Elementary Algebra, 1.7 Decimals
Decimals: example 1.99
Multiply 5.63 ⓐ by 10 ⓑ by 100 ⓒ by 1,000.
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.
ⓐ
5.63(10) There is 1 zero in 10, so move the decimal point 1 place to the right.
ⓑ
5.63(100) There are 2 zeros in 100, so move the decimal point 2 places to the right.
ⓒ
5.63(1,000) There are 3 zeros in 1,000, so move the decimal point 3 places to the right. A zero must be added at the end.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Multiply 2.58 ⓐ by 10 ⓑ by 100 ⓒ by 1,000.
How did it go?