Question

Is 49/3430 a terminating decimal expansion

Answer 1

Answer:

NO, 49/3430 is not a terminating decimal expansion

Step-by-step explanation:

Here,

we can find any number be terminating or non terminating by taking the denominator in the form of

${2}^{m} \: {5}^{n}$

2m5n (mentioned above) without doing the actual division.

So, To take denominator in the form we have to do the prime factorisation of the denominator.

Prime factorisation of 3430 = 7 × 7 × 7 × 2 × 5

But here along with 2 and 5 , 7 is also a factor of 3430.

Therefore the no. 49 / 3430 have not a terminating decimal expansion.

THANK YOU

Answer 2

Answer:

A rational number has a terminating decimal expansion when the denominator of it can be expressed as 2^m * 5^m (only,no other number should be there). It is a shortcut for finding whether an decimal is terminating or not.

So here the denominator can be expressed as 3430. We can find it  by prime factorization(it  is not  a lengthy process).It will come 2 * 5 * 7 * 7 * 7. So it is  a non  terminating decimal number.

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Step-by-step explanation: