A terminating decimal number is a decimal number with a finite number of digits after the decimal point. For example: 95.3652
It is an exact multiple of a (positive or negative) power of 10. For example: 95.3652 can be written as an exact fraction of 953652 / 10000, or 953652 * 10-4.
Rational numbers where the simplified denominator is not a factor of a power of 10 (i.e. where the denominator has factors that aren't divisible by 2 or 5, and are not common to the numerator) are not terminating decimals.
For example:
- 1/3 (0.333333.....) does not terminate - the sequence of '3's repeats endlessly. Notice that the denominator is a multiple of 3 (and the numerator isn't), so it does not divide any power of 10.
- 103/70 (1.4714285714285...) does not terminate. The sequence of numbers '714285' repeats endlessly. The denominator does have 2 and 5 as factors, but also 7 (which is not a factor of the numerator), so it does not divide a power of 10.
Irrational Numbers (such as π=3.14159265.....), are also not terminating decimals. There is an infinite number of numbers after the decimal point, but unlike fractions, there is no infinitely recurring sequence.
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
Decimals can be "terminating" "recurring" or "other." A terminating decimal is one which is finite. Recurring and other decimals continue on forever. For instance 0.5 is a terminating decimal. 0.729 is a terminating decimal. 0.3333333... is not a terminating decimal. pi (3.1415926535....) is not a terminating decimal.
Terminating.
A non-terminating decimal.
Yes, 0.5 has a terminating decimal.
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
0.875 is a terminating decimal and as a fraction it is 7/8
Decimals can be "terminating" "recurring" or "other." A terminating decimal is one which is finite. Recurring and other decimals continue on forever. For instance 0.5 is a terminating decimal. 0.729 is a terminating decimal. 0.3333333... is not a terminating decimal. pi (3.1415926535....) is not a terminating decimal.
Terminating?
It is terminating - after two decimal digits.
As shown, a terminating decimal.
0.667 is a terminating decimal.
It is a terminating decimal.
Terminating.
Terminating.
A non-terminating decimal.
It is terminating - after three decimal digits.