Decide whether 52-123456789 is a rational number or not- If rational in the form p-q- what can you say about the prime factors of q-

It is rational because decimal expansion is terminating. Therefore, it can be expressed in p q form where factors of q are of the form 2^n.5^m and n and m are n ...

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Mathematics

Rational Numbers

Decide whethe...

Question

Decide whether 52.123456789 is a rational number or not. If rational (in the form $\frac{p}{q}$ ), what can you say about the prime factors of q?

Rational Number, Prime factors of q will have either 2 or 5 or both

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Not rational number

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Rational Number, Prime factor of q will have a factor other than 2 or 5.

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Rational Number, Prime factor of q will be only 2.

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Solution

The correct option is A
Rational Number, Prime factors of q will have either 2 or 5 or both

It is rational because decimal expansion is terminating. Therefore, it can be expressed in $\frac{p}{q}$ form where factors of q are of the form $2^{n} {.5}^{m}$ and n and m are non-negative integers.

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Decide whether 52.123456789 is a rational number or not. If rational (in the form pq), what can you say about the prime factors of q?

The correct option is A Rational Number, Prime factors of q will have either 2 or 5 or both It is rational because decimal expansion is terminating. Therefore, it can be expressed in pq form where factors of q are of the form 2n.5m and n and m are non-negative integers.

Decide whether 52.123456789 is a rational number or not. If rational (in the form $\frac{p}{q}$ ), what can you say about the prime factors of q?

The correct option is A
Rational Number, Prime factors of q will have either 2 or 5 or both

It is rational because decimal expansion is terminating. Therefore, it can be expressed in $\frac{p}{q}$ form where factors of q are of the form $2^{n} {.5}^{m}$ and n and m are non-negative integers.