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

5.6 Fractions and Decimals Objectives Write fractions as equivalent decimals. Compare the size of fractions and decimals. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Write fractions as equivalent decimals. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 4

Objective 1: Write fractions as equivalent decimals. Example Write as a decimal. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 5

Objective 1: Write fractions as equivalent decimals. (continued) Example To check, write 0.125 as a fraction and reduce to lowest terms. In lowest terms: Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 6

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 5.6 - 7

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 5.6 - 8

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 5.6 - 9

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. Sec 5.6 - 10

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. 0.6875 0.625 Example 0.6875 is to the right of 0.625, so use the > symbol. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 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. 0.75 Example We see that 0.75 and are at the same point, so use =. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 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. 0.5 Example We see that 0.5 is to the left of , so use <. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 13

Objective 2: Compare the size of fractions and decimals. Write the numbers in order from least to greatest 0.49 0.487 0.4903. 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: 0.487 0.49 0.4903. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 14

Objective 2: Compare the size of fractions and decimals. Write the numbers in order from least to greatest 2.63 2.6. Example Write as a decimal to get 2.625. Write all numbers with three decimal places. From least to greatest: 2.6 2.63 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 5.6 - 15