6th Grade Math Textbook, Progress

Terminating and Repeating Decimals

6-15

0. 625


^5

8


 8 
 5 .0 0  0

^58 
0. 625

0. 27272...


 131 
 11 
 3 .0 0  0  0  0

 131 
0. 2727...

Alberto plays baseball for the Piney Creek Wildcats.

In his first 30 times at bat, he gets 10 hits.

Write his batting average as a decimal.

0. 3333...

Rename 


1

3

0

0 
as an equivalent decimal. 3 0
^1 ^0 .0^0 ^0 ^0

No matter how many zeros you write in the dividend,

the division just keeps on going. When the same

digit(s) repeat in the quotient, you have a

repeating decimal.

Alberto’s batting average is 0.3333... , or 0.333

when rounded to the nearest thousandth.

Every fraction can be renamed as a

terminating decimal or a repeating decimal.

A terminating decimal has a

definite number of decimal places.

When you divide, the remainder

is 0.

A repeating decimal has one

or more digits that repeat

indefinitely. When you divide,

the remainder is never zero.

Repeating decimals may be written with a barover

the digit or digits that repeat.

0.2727... 0.2 7  bar 5.13636.. .5.13 6  bar

Think

The digits 2 and 7

repeat indefinitely.

Think

The digits 3 and 6

repeat indefinitely. The

digit 1 does not repeat.

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