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Q: Why every rational number can be represented by either a terminating decimal or a repeating decimal?

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Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.

A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.

Rational numbers can be expressed as a terminating or repeating decimal.

Yes. Any terminating decimal is a rational number. Any repeating decimal also.

No, a rational number, expressed as decimal, is either a terminating decimal, such as 1/4 = 0.25, or a repeating decimal, such as 1/7 = 0.142857 142857 142857 ...

The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.

They are rational numbers.

If a decimal number is terminating or non-terminating repeating then it can be represented as a rational number.0.333333333 = 333333333/1000000000 which is in the form of p/q - a rational number.

It is either a terminating decimal or a repeating decimal.

Any rational number is either a repeating decimal, or a terminating decimal.

No. A rational number is any terminating numeral. A repeating decimal is irrational.

They are both rational numbers.

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