2. 5.1 Reading and Writing Decimal Numbers
Chapter 5 Rational Numbers: Positive and
Negative Decimals

3. 5.1 Reading and Writing Decimal Numbers
Objectives
Write parts of a whole using decimals.
Identify the place value of a digit.
Read decimal numbers.
Write decimals as fractions or mixed numbers.
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4. Objective 1: Write parts of a whole using decimals.
Decimals are used when a whole is divided into 10 equivalent parts or into 100 or 1000 or 10,000 equivalent parts.
In other words, decimals are fractions with denominators that are a power of 10.
The dot in 0.1 is called the decimal point.
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5. Objective 1: Write parts of a whole using decimals.
Example
Below several numbers are written as fractions, decimals, and in words.
Fraction Decimal Read As
0.4
four tenths
– 0.09
negative nine hundredths
0.008
eight thousandths
eight hundred thirty-two thousandths
0.832
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6. Objective 2: Identify the place value of a digit.
A decimal point separates the whole number part from the fractional part.
The place value names for fractional parts are similar to those on the whole number side but end in “ths”.
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7. Objective 2: Identify the place value of a digit.
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8. Objective 2: Identify the place value of a digit.
Example
Identify the place value of each digit of and
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9. Objective 3: Read decimal numbers.
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10. Objective 3: Read decimal numbers.
Example
Read the decimal 16.9.
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11. Objective 3: Read decimal numbers.
Example
Read the decimal
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12. Objective 3: Read decimal numbers.
Example
Read the decimal
0.063
sixty-three thousandths
(No whole number part.)
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13. Objective 4: Write decimals as fractions or mixed numbers.
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14. Objective 4: Write decimals as fractions or mixed numbers.
Example
Write 0.19 as a fraction or mixed number.
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15. Objective 4: Write decimals as fractions or mixed numbers.
Example
Write as a fraction or mixed number.
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16. Objective 4: Write decimals as fractions or mixed numbers.
Example
Write 0.75 as a fraction or mixed number in lowest terms.
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17. Objective 4: Write decimals as fractions or mixed numbers.
Example
Write as a fraction or mixed number in lowest terms.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
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