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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.

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Q: Which of the reciprocals of the first 16 natural numbers have a terminating decimal representation and which have a repeating-decimal representation?
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Related questions

How many positive integers less than 100 have reciprocals with terminating decimal representation?

There are 14.


What is a non terminating decimal called?

Some non-terminating decimals are repeating decimals.


What is a decimal called that stops at a particular place?

A terminating decimal representation.


Can a non-terminating decimal be a non-repeating decimal?

Yes. Every irrational number has a non-terminating, non-repeating decimal representation.


How do you check 0.416 as a fraction?

It is a terminating decimal and so it is a decimal representation of a fraction.


What is a non-repeating decimal called?

It could either be a terminating decimal or the decimal representation of an irrational number.


What is the difference between terminating and non-terminating decimals?

A terminating decimal is a number whose decimal representation stops (or terminates) after a finite number of places. For example, 2.5, 2.3345688756 or even 325.452222222 A non-terminating decimal is one that goes on forever.


What is a decimal number that ends or recurs?

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.


What type of decimal is an irrational number?

An irrational number has a decimal representation that is non-terminating and non-repeating.


What does find a terminating decimal mean?

It is a requirement to find a decimal representation which has only a finite number of digits after the decimal point.


What dose terminating mean in maths?

In the context of decimal numbers, it means ENDING. So the decimal for 1/2 is 0.5 the decimal representation TERMINATES at 1 digit after the decimal point. The representation for 1/32 is 0.0.3125, a longer stretch after the decimal point, but still the decimal representation is TERMINATING. There are some numbers whose decimal representation ore not terminating. If the number is rational, the represntation is recurring. For example, 1/3 is 0.33... with the 3s going on forever. The decimal representation is said to be recurring. Similarly, 1/7 = 0.142857142857... with the number string repeating forever. Or the number is irrational and the decimal representation is neither terminating nor recurring. It goes on forever, but never settles into a recurring pattern.


What is terminating and non terminating numbers?

A terminating decimal number is one whose decimal representation ends after a final number of digits. A non-terminating decimal number is one whose decimal representation goes on forever. It could be in the form of a number-string that repeats infinitely, for example, 2/11 = 0.18181818.... or one in which there is no pattern (all irrational numbers). Analogous definitions apply to numbers expressed in other bases.