6th Grade Math Textbook, Fundamentals

Remember:Write zeros so that decimals

have the same number of decimal places.

1.Name a fraction between 5 and 5.

Compare.

2. and 3. 8 and 8 4.0.44 and 5.2 and

Order from least to greatest.

6. , , 7. , , 8.4 , 4 , 4.15 9.3, 4,

10.Discuss and Write Why is it helpful to first rename fractions in like terms to compare them?

 11

6

3

5

2

3

3

10

1

5

 4

5

 3

8

 2

3

1

5

2

15

3

20

 17

7

4

9

 2

7

2

15

3

20

 2

7

 2

5

5

8

3

4

Lesson 5-5 for exercise sets. &KDSWHU 

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Compare:

35 36 so 127 ^35.

3

5

36

7

12

35

3
? 5
7
1 12 Compare:

 54 55 so  116  95.

 5

9

 55

 6

11

 54

 5

? 9

 6

(^211)
Method 1 Rename the mixed number as a
fraction greater than 1.
Rename 4 as a fraction greater than 1.
4 fraction greater than 1

So 4 .
Method 2 Rename the fraction greater than 1
as a mixed number.
Rename as a mixed number.
 6 mixed number
4  6
So 4 .
5
6
33
3

R
33
5
1
5
3
5
1
5
3
5
33
5
33
5
1
5
1
5
(4 • 5) 1
5
21
5
33
5
21
5
1
5
33
5
Order  ,  , and 0.625 from least to greatest.

• First rename the fractions as equivalent decimals.
  Divide the numerator by the denominator.

 5  16 0.3125 0.40

• Then compare the decimals. Start with the
  greatest place, and move right as you compare
  the digits in each decimal place.

Check:0.62500.40 00 and 0.40 00 0.3125

The order from least to greatest is 0.625,  , .

You can also compare fractions mentally by multiplying as shown below.

5

16

40

100

40

100

5

16

40

100

5

16

Sometimes when you compare rational numbers, it is necessary to

rename mixed numbers or fractions greater than or equal to 1.

Compare: 4 and^15335

0.3125 greatest value; closest to zero

0.40 00

0.6250 least value; farthest from zero