7th Grade Math

Any fraction can be written as a decimal by dividing its numerator by

its denominator. Division ends when the remainder is zero.

Use Division

Write _^38 as a decimal.

0.375

8  3.000 Divide 3 by 8.

(^) - 24
60
(^) - 56
40
(^) ____- 40
0 Division ends when the remainder is 0.
So, ^38 = 0.375.
Write - _ 401 as a decimal.
0.025 Divide 1 by 40.
40  1.000

• _____ 80
  200


• __ 200
  0
  So, - _ 401 = -0.025.

Write each fraction or mixed number as a decimal.

d. - _^78 e. 2 _ 81 f. 7 _ 209

In Examples 1–4, the decimals 0.35, 5.75, 0.375, and -0.025 are called

terminating decimals. A terminating decimal is a decimal with digits

that end. Repeating decimals have a pattern in their digits that

repeats forever. Consider _^13.

0.333...

3  1.000

The number 3 repeats.

The repetition of 3 is

represented by three dots.

(^) - 9
10
(^) - 9
10
(^) ____- 9
1
You can use bar notation to indicate that a number pattern repeats
indefinitely. A bar is written over only the digits that repeat.
0.33333... = 0.
−
3 0.121212... = 0.
−−
12 11.3858585... = 11.3
−−
85
Everyday Use
Terminate coming to an
end, as in terminate a
game
Math Use
Terminate a decimal
whose digits end
Lesson 1B Rational Numbers 129
127_138_C3L1_895130.indd 129 12/31/09 12:34 PM