Unit 3.2 Comparing and Ordering Fractions

Unit 3.2 Comparing and Ordering Fractions and Decimals­student notes.notebook
November 15, 2011
Unit 3.2
Comparing and Ordering Fractions and Decimals
Oct 1­10:48 AM
Comparing Fractions:
1) Fractions with a common denominator
* the larger the numerator, the larger the fraction
ex: Order in ascending order
2/5, 3/5, 1/5
Answer: 1/5, 2/5, 3/5
Oct 1­10:53 AM
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Unit 3.2 Comparing and Ordering Fractions and Decimals­student notes.notebook
November 15, 2011
2) Fractions with a common numerator
* the larger the denominator, the smaller the fraction
Ex.
Order from least to greatest
5/7, 5/11, 5/2
Answer: 5/11, 5/7, 5/2
Oct 1­10:57 AM
3) Using a number line or fraction strips.
Example: Which fraction is greater 2/3 or 3/4?
Fraction Strips:
Number lines:
2/3
1
0
3/4
0
1
Oct 1­11:00 AM
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Unit 3.2 Comparing and Ordering Fractions and Decimals­student notes.notebook
November 15, 2011
4) Finding equivalent fractions with a common denominator
Example: Compare 4/5 2/3
12/15 10/15
12 >
10
Therefore, 4/5 > 2/3
Oct 1­11:13 AM
5) Change all fractions to decimals.
Nov 4­10:59 AM
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Unit 3.2 Comparing and Ordering Fractions and Decimals­student notes.notebook
November 15, 2011
6) Using Benchmarks
Example: Order the following fractions from least to greatest.
Nov 6­2:20 PM
Comparing Decimals:
Method 1:
Nov 4­11:02 AM
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Unit 3.2 Comparing and Ordering Fractions and Decimals­student notes.notebook
November 15, 2011
Method 2: You can rewrite all decimals so they are all at the same place value and then compare.
Ex. Rewrite the decimals from least to greatest.
0.4, 0.056, 0.009, 0.565
Answer:
Nov 9­1:36 PM
Using a Number Line to Compare Decimals and Fractions:
2.06
2.13
2.0
2.1
2.2
­10 to 10 number line ­ blank
5
2.03
2.02
2.01
Unit 3.2 Comparing and Ordering Fractions and Decimals­student notes.notebook
November 15, 2011
­10 to 10 number line ­ blank
Do pages 94­95 # 3­11
Nov 4­11:03 AM
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