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.
Some non-terminating decimals are repeating decimals.
Yes. Every irrational number has a non-terminating, non-repeating decimal representation.
It is a terminating decimal and so it is a decimal representation of a fraction.
It could either be a terminating decimal or the decimal representation of an irrational number.
An irrational number has a decimal representation that is non-terminating and non-repeating.
Some non-terminating decimals are repeating decimals.
A terminating decimal representation.
Yes. Every irrational number has a non-terminating, non-repeating decimal representation.
It is a terminating decimal and so it is a decimal representation of a fraction.
To determine how many positive integers less than 100 have reciprocals with terminating decimal representation, we need to consider the prime factorization of each integer. Any positive integer whose prime factorization consists only of 2s and/or 5s will have a reciprocal with a terminating decimal representation. In the range of positive integers less than 100, there are 49 numbers that are powers of 2, 5, or their products (2^0, 2^1, 2^2, ..., 2^6, 5^0, 5^1, 5^2). Therefore, there are 49 positive integers less than 100 with reciprocals having terminating decimal representations.
It could either be a terminating decimal or the decimal representation of an irrational number.
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.
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.
An irrational number has a decimal representation that is non-terminating and non-repeating.
It is a requirement to find a decimal representation which has only a finite number of digits after the decimal point.
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.
Terminating means coming to an end so non-terminating means not ending. A non-terminating decimal may either consist of repeating sets of digits (such as in the decimal representation of some rational numbers eg 3/7 = 0.428571 428571 428571 ...) or a random sequence of digits (as in the decimal representation of an irrational number).