The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

Name Date

WORKSHEET 2.6: EXPRESSING TERMINATING DECIMALS

AS FRACTIONS OR MIXED NUMBERS

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Every terminating decimal can be expressed as a fraction or mixed number. Study the place

value chart for the number 21,065.4897.

Ten thousandsThousandsHundredsTens Ones TenthsHundredthsThousandthsTen-thousandths

2 1065. 4897

EXAMPLES

0.4 is read ‘‘four tenths.’’ 0. 4 =

4

10

=

2

5

− 1. 35 is read ‘‘negative one and thirty-five hundredths.’’− 1. 35 =− 1

35

100

=− 1

7

20

3.105 is read ‘‘three and one hundred five thousandths.’’ 3. 105 = 3

105

1000

= 3

21

200

DIRECTIONS: Express each decimal as a fraction or mixed number. Simplify if possible.

1. 0.78 2. − 0. 3 3. − 1. 07 4. 15.825


2. − 6. 16 6. − 0. 025 7. 18. 75 8. − 20. 01

CHALLENGE:Find the error or errors in this problem.− 3. 15 =− 3

15

100

= 3

5

20

59

Copyright

©

2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.