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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