6th Grade Math Textbook, Fundamentals

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Lesson 5-4 for exercise sets. &KDSWHU 

is close to 1 since the absolute value of the

numerator, 11, is about equal to the absolute

value of the denominator, 12.

11

(^112)
1
12
2
12
3
12
4
12
5
12
6
12
7
12
8
12
9
12
10
12
11
(^0112)
is close to 1 since the absolute value
of the numerator, 13, is about equal to
the absolute value of the denominator, 16.
13
(^2)  16
 10  1615 ^1416  1613 ^1216  1611  1610  169  168  167  166  165  164  163  162  161
Estimate to the nearest.
is close to. Find compatible numbers.
 Simplify.
is closer to 0 than to.
So is close to 0 on a number line.
1
2
9
48
1
2
1
5
9
48
1
5
10  10
50  10
10
50
9
1 48 Estimate to the nearest.
is close to. Find compatible numbers.
 Simplify.
is halfway between and 1.
  and .
So is close to 1 on a number line.
18
24
18
24
3
4
1
2
19
24
3
4
19
24
19
24
1
2
3
4
3
4
18  6
24  6
18
24
19
24
19
(^224)
Draw a number line to find the answer.
1.Is closer to or to 1? 2.Is  closer to  or to 0?
Tell whether the fraction is closest to 1, , 0, , or 1.

8.Discuss and Write How can you use compatible numbers to determine whether

a fraction is closest to 1, , 0, , or 1? Justify your answer with examples.

3

8

1

2

1

2

11

16

1

2

1

2

1

2

1

2

 33

40

2

14

3

28

 8

14

15

18

A fraction is close to 1 or 1 when the absolute value of its denominator

is about equalto the absolute value of its numerator.

Another way to estimate the value of a fraction to the nearest

is to use compatible numbers and mentally visualize a number

line marked in intervals of.

1

2

1

2