Percentages, Fractions, and Decimal Values

# What is a decimal number that ends or recurs?

###### Wiki User

###### June 29, 2016 11:38AM

Decimal numbers that end or recur are known as terminating or repeating decimals.

0.75 is a terminating decimal.

0.4444 repeating is a repeating decimal.

Top Answer

###### Wiki User

###### June 25, 2016 10:01AM

It is the decimal representation of a rational number.

## Related Questions

###### Asked in Math and Arithmetic, Numbers , Irrational Numbers

### Is 6.708204 an irrational number?

No.
6.708204 = 6708204/1000000
= 1677051/250000
Any decimal that terminates (does not go on for ever) is a
rational number.
Any decimal that does not terminate, but recurs (ends in
repeating digit(s)) is also a rational number, eg 0.66... = 2/3,
0.142857142857... (repeating the same 6 digits 142857) = 1/7

###### Asked in Math and Arithmetic, Numbers , Irrational Numbers

### Is 0.3888888 rational or irrational?

Any number that you can completely write down with digits is
rational.
A rational number is a number that can be expressed as the ratio
of
two whole numbers.
0.388888 is the ratio of 388,888 to 1,000,000 . (48,611 to
125,000.)
If the decimal had gone on forever with an infinite number of
8s, then the
number would have been 3/18 ... which is also rational even
though the
decimal never ends. A decimal that ends is always a rational
number.
A decimal that never ends might or might not be a rational
number.

###### Asked in Math and Arithmetic, Algebra, Percentages, Fractions, and Decimal Values

### What kinds of decimals will fractions turn into?

Rational numbers will become either a terminating decimal (if
the denominator has prime factors of 2 and/or 5 only) or a decimal
that recurs one or more digits (possibly after one or more digits
that do not recur).
Examples:
1/2 = 0.5 (terminates)
1/3 = 0.333.... (3 recurs)
1/6 = 0.1666.... (6 recurs after the initial non-recurring
1)
1/7 = 0.142857142857142857.... (142857 recurs)