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Example 5.4 from Prealgebra, 5.1 Decimals
Decimals: example 5.4
Write each of the following decimal numbers as a fraction or a mixed number:
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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
ⓐ 4.09 There is a 4 to the left of the decimal point.
Write "4" as the whole number part of the mixed number.Determine the place value of the final digit. Write the fraction.
Write 9 in the numerator as it is the number to the right of the decimal point.Write 100 in the denominator as the place value of the final digit, 9, is hundredth. The fraction is in simplest form. Did you notice that the number of zeros in the denominator is the same as the number of decimal places?
ⓑ 3.7 There is a 3 to the left of the decimal point.
Write "3" as the whole number part of the mixed number.Determine the place value of the final digit. Write the fraction.
Write 7 in the numerator as it is the number to the right of the decimal point.Write 10 in the denominator as the place value of the final digit, 7, is tenths. The fraction is in simplest form. ⓒ −0.286 There is a 0 to the left of the decimal point.
Write a negative sign before the fraction.Determine the place value of the final digit and write it in the denominator. Write the fraction.
Write 286 in the numerator as it is the number to the right of the decimal point.
Write 1,000 in the denominator as the place value of the final digit, 6, is thousandths.We remove a common factor of 2 to simplify the fraction.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Write as a fraction or mixed number. Simplify the answer if possible.
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How did it go?