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It must be of the form 2a*5b where a and b are non-negative integers. That is to say, it must be a number whose only factors are 2 or 5.

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Q: What is the rule for the denominator of terminating decimals?
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What causes the difference in terminating decimals and repeating decimals?

If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.


What are terminating and non terminating decimals?

Terminating decimals are decimals that end, such as, 2.384. Non-terminating decimals that don't end, such as, 0.3333333333.......


How are fractions are related to repeating decimals and terminating decimals?

If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.


When written as a fraction terminating decimals have a denominator that is a product of which factors?

The only prime factors are 2 and 5.


Are rational numbers non-terminating decimals?

No. Rational numbers are either terminating decimals or non-terminating BUT recurrent decimals.


What are 5 examples of non terminating repeating decimals?

terminating decimals repeating decimals


How are terminating decimals and repeating decimal reflected in fractions?

If a fraction, in its simplest form has a denominator whose only prime factors are 2 or 5, then the fraction is terminating. If the denominator has any other prime factor then the decimal is repeating.


Why is terminating and repeating decimals a rational number?

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Terminating or repeating decimals are the result of this.


What are the different kinds of decimal?

terminating decimals non terminating decimals repeating decimals non repeating decimals


What are non-terminating and non-repeating decimals called?

They are called terminating decimals.


Terminating Recurring Decimal?

Decimals can be recurring. Decimals can be terminating. They can't be both.


When converting decimals to fractions is the place value of the number farthest to the right the denominator?

For terminating decimals, yes - the place value of the digit farthest to the right (furthest after the decimal point) is the denominator. Don't forget to simplify the fraction (if possible).