How do you know if a decimal will terminate?

To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.

What does it mean when decimals terminate?

noun Mathematics. a decimal numeral in which, after a finite number of decimal places, all succeeding place values are 0, as ⅛ = 0.125 (contrasted with nonterminating decimal).

What does a terminating decimal end with?

A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In other words, as a decimal 1/3 is 0.33333….. And those threes go on forever.

Is 0.333 a terminating decimal?

3 or 0.333 is a rational number because it repeats. It is also a non-terminating decimal.

Is 2/5 terminating or repeating?

If the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, the decimal expression terminates. If there is any prime factor in the denominator other than 2 or 5, then the decimal expression repeats.

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Is 1 6 a terminating or repeating decimal?

So, 1/6 as a decimal is 0.16666 This is a non-terminating repeating decimal number.

What is 3/4 as a terminating decimal?

We find that on long division 34= 0.75 which is a terminating decimal.

Is 0.125 terminating or repeating?

Let’s look at the fraction 1/8. In decimal form it is 0.125, which is a terminating decimal. Terminating decimals can also repeat, but they must still have an end, such as 0.4545.

Is 5/6 a repeating or terminating decimal?

It is terminating because its denominator has all the factors of 2.

Is 5 by 7 a terminating decimal?

5/7 is non terminating and non repeating..

Is 1 11 recurring or terminating?

It is Non terminating.

Is 2/11 a terminating or repeating?

If the denominator is in the form of 2^n5^m then it is terminating otherwise non terminating. So in 2/11 the denominator 11 do not have any factor as 2 or 5 so its non terminating.

Is 0.3333 a real number?

The decimal 0.3333 is a rational number. It can be written as the fraction 3333/10,000.

Is 0.7 A irrational number?

The decimal 0.7 is a rational number. It is read as seven tenths and is equivalent to the fraction 7/10.

What are non-terminating numbers?

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers. Examples. Pi is a non-terminating, non-repeating decimal.