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Is the fraction 13 equivalent to a terminating decimal or a decimal that does not terminate?
1/3 does not terminate.
What is 1 over 13 equal to?
As a decimal, 0.076923 repeating
When a fraction is changed to a decimal and the remainder is not zero what is it called?
If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.
What is 13 over 22 as a terminating decimal?
13/22 cannot be expressed as a terminating decimal because the divisor has a factor other that 2 or 5.
Which of the reciprocals of the first 16 natural numbers have a terminating decimal representation and which have a repeating-decimal representation?
1/3, 1/6, 1/7, 1/9, 1/11, 1/12, 1/13, 1/14, 1/15 all have repeating decimal representations, while 1/2, 1/4, 1/5, 1/8, 1/10, and 1/16 have terminating decimal representations.
