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WRITING DECIMALS AS FRACTIONS

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Title: WRITING DECIMALS AS FRACTIONS Last modified by: grice1 Created Date: 3/16/2009 1:44:29 AM Document presentation format: On-screen Show Other titles – PowerPoint PPT presentation

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Title: WRITING DECIMALS AS FRACTIONS


1
WRITING DECIMALS AS FRACTIONS
2
Key Concept
  • To write a decimal as a fraction
  • Identify the place value of the last decimal
    place
  • Write the decimal as a fraction using the place
    value as a denominator
  • If necessary, simplify the fraction

3
Place Value Chart
4
0.6
  • 0.6 means six tenths
  • .6 6
  • 10
  • Simplify by dividing by the GCF, 2
  • So, in simplest form, 0.6 is written as 3
  • 5

5
0.45
  • 0.45 means forty-five hundredths
  • .45 45
  • 100
  • Simplify by dividing by the GCF, 5
  • So, in simplest form, 0.45 is written as 9
  • 20

6
Decimals with whole numbers
  • Write decimals with whole numbers as mixed
    numbers
  • Identify the place value of the last decimal
    place
  • Rewrite the whole number as is
  • Write the decimal as a fraction using the place
    value as a denominator
  • If necessary, simplify the fraction

7
2.75
  • 2.75 means two and seventy five hundredths
  • 2.75 2 75
  • 100
  • Simplify by dividing by the GCF, 25
  • So, in simplest form, 2.75 is written as 2 3
  • 4

8
On the Calculator
  • TI34 II
  • TI34 Multiview
  • Enter the decimal
  • gtF
  • Enter
  • gtSIMP (if needed)
  • Enter the decimal
  • 2nd Key
  • n key
  • d
  • gtSIMP (if needed)

9
Lets Practice
  • .006
  • 2.96
  • 5.25
  • .0008
  • .02

10
Writing Fractions as Decimals
11
Terminating decimals
  • .25
  • .75
  • .35
  • The division ends or terminates when the
    remainder is 0

12
Repeating Decimals
  • 0.888888 The digit 8 repeats
  • 2.8787878787 The digits 8 and 7 repeat
  • 20.1939393 The digits 9 and 3 repeat
  • The digit or digits in the decimal repeat
  • Bar notation The notation 0.8 indicates the
    digit 8 repeats forever.

13
Writing Fractions as Terminating Decimals
  • Method 1 pen and paper
  • Method 2 calclator

14
Writing Fractions as Repeating Decimals
  • Method 1 pen and paper
  • Method 2 calculator
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