2. 5.6 Fractions and Decimals
Chapter 5 Rational Numbers: Positive and
Negative Decimals

3. 5.6 Fractions and Decimals
Objectives
Write fractions as equivalent decimals.
Compare the size of fractions and decimals.
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4. Objective 1: Write fractions as equivalent decimals.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5. Objective 1: Write fractions as equivalent decimals.
Example
Write as a decimal.
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6. Objective 1: Write fractions as equivalent decimals.
(continued)
Example
To check, write as a fraction and reduce to lowest terms.
In lowest terms:
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Sec

7. Objective 1: Write fractions as equivalent decimals.
Example
Write as a decimal.
Method 1: Divide 3 by 4 to get the fractional part then add to the whole number part.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec

8. Objective 1: Write fractions as equivalent decimals.
Example
Write as a decimal.
Method 2: Write as an improper fraction before dividing.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec

9. Objective 1: Write fractions as equivalent decimals.
Example
Write as a decimal and round to the nearest thousandth.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec

10. Objective 2: Compare the size of fractions and decimals.
The number lines below can be used to compare fractions and decimals.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
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11. Objective 2: Compare the size of fractions and decimals.
Use the number line below to decide whether to write >, <, or = in the blank between the pair of numbers.
Example
is to the right of 0.625, so use the > symbol.
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12. Objective 2: Compare the size of fractions and decimals.
Use the number line below to decide whether to write >, <, or = in the blank between the pair of numbers.
0.75
Example
We see that 0.75 and are at the same point, so use =.
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Sec

13. Objective 2: Compare the size of fractions and decimals.
Use the number line below to decide whether to write >, <, or = in the blank between the pair of numbers.
0.5
Example
We see that 0.5 is to the left of , so use <.
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Sec

14. Objective 2: Compare the size of fractions and decimals.
Write the numbers in order from least to greatest
Example
It is easiest to compare decimals if they all have the same number of decimal places. Write each decimal to four places.
From least to greatest:
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15. Objective 2: Compare the size of fractions and decimals.
Write the numbers in order from least to greatest
Example
Write as a decimal to get
Write all numbers with three decimal places.
From least to greatest:
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Sec