# WRITING DECIMALS AS FRACTIONS - PowerPoint PPT Presentation

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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