6th Grade Math Textbook, Fundamentals

The fraction is close to 0 since the

absolute value of the numerator, 3, is much

less than the absolute value of the

denominator, 14.

1

14

2

14

3

14

4

14

5

14

6

14

7

14

1

2

8

14

9

14

10

14

11

14

12

14

13

(^0114)
3
1 14 The fraction is close to 0 since the
absolute value of the numerator, 2, is
much less than the absolute value of the
denominator, 12.
 10  122  121

 1211  1210  129  128  127  126  125  124  123
1
2
 2
(^212)
Key Concept
Fraction Sense
A fraction is:

• close to 1 or 1 when the absolute value of
  its numerator is about equal to the absolute
  value of its denominator.


• close to  or when double the absolute
  value of its numerator is about equal to the
  absolute value of its denominator.


• close to 0 when the absolute value of its
  numerator is much less than the absolute
  value of its denominator.

1

2

1

2

 &KDSWHU

5-4

1

2

1

 1  2 0 1

Fraction Sense:

Close to 1,  , 0, , or 1

Objective To determine whether a fraction is close

to 1,  , 0, , or 1

Sonja’s driving directions to her job interview told

her to turn onto Allendale Road. The directions

said she should stay on Allendale Road for mile

before turning again. Is mile closest to 0, , or 1 mile?

To determine if the fraction of a mile is closest to 0, ,

or 1 mile, compare the absolute values of the numerator

and the denominator of the fraction.

To if a fraction is close to 1,

close to  , close to 0, close to , or

close to 1, compare the absolute value of

its numerator to the absolute value of

its denominator.

The numbers 1,  , 0, , and 1 are

benchmarks, or numbers that are convenient

to use as standards of reference when making

estimates and comparisons.

Since 5 is half of 10, the numerator 4 is almost

half of 10. So mile is closest to mile.

A fraction is close to 0 when the absolute value

of its numerator is much less thanthe absolute

value of its denominator.

4

10

1

2

1

2

1

2

1

2

4

10

1

2

1

2

1

2

4

10

1

2

estimate

1

2

1

2

1

2