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Do recurring decimals ever stop?

Do recurring decimals ever stop?

Any number that cannot be expressed as a ratio of two integers is said to be irrational. Their decimal representation neither terminates nor infinitely repeats but extends forever without regular repetition….Table of values.

fraction decimal expansion ℓ10
12 0.5 0
13 0.3 1
14 0.25 0
15 0.2 0

What is 0.8 recurring as a fraction?

89
As a fraction 0.8 (8 repeating) is 89 .

Is 0.5 a repeating decimal?

Answer: 0.5 repeating as a fraction can be written as 5/9. Let’s understand the solution in detail. Explanation: 0.5 repeating is a recurring fraction with infinite decimal places.

Does 3 11 have a repeating decimal?

As 311 is already in smallest form, we have to long divide 3 by 11 and as denominator has factors other than 2 and 5 , answer will have repeating numbers after decimal point.

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What is the recurring decimal 0.123 as a fraction in its simplest form?

The simplest exact fraction for the decimal number 0.123 is 1231000 .

Why do decimals repeat?

Decimals are equivalent to fractions with denominators that are a power of ten. Consider the following decimal, 0.111111… repeating. This means that decimals, rewritten as fractions, all have denominators that are an exact power of ten.

Is 0.3333 a terminating decimal?

Students learn that a terminating decimal is a decimal that ends. For example, 0.5 and 36.8924 are terminating decimals. For example, 0.3333… and 9.257257… are repeating decimals. To indicate that a decimal is repeating, a bar is drawn above the digit or group of digits that repeats.

Is 0.50 terminating?

0.5 is the decimal equivalent of two integer numbers, 1/2. It is a decimal that terminates, but does not repeat. It is a rational decimal. √4 can be written as a ratio of two numbers.