Question

Without actual division, classify the decimal expansion of

43
/375 as Terminating or

Non-terminating and recurring.​

Answer 1

Answer:

non-terminating and recurring

Step-by-step explanation:

non-terminating and recurring

because prime factorisation of 375 =3×5×5×5

and not of the form 2^m×5^n

Answer 2

Answer:- 43/375 is non-terminating and recurring.

First take out the prime factor of 375

The prime factor of 375 is = 3×5×5

43/375 is non-terminating and recurring because the prime factor of 375 is = 3×5×5 and so it is not in the form of 2^m×5^n.

Terminating decimals:-

The Terminating decimals are those numbers that come to an end after few repeating numbers after decimal point.

For example: 0.5, 2.456, 123.456, etc. are all examples of the terminating decimals.

Non terminating decimals:-

The Non-terminating decimals are those that keep on continuing after the decimal point (i.e., they go on forever and never finish or stop). They don’t come to an end or if they do it is after a long interval or long numbers.

For example:- π = (3.141592653589793238462643383279502884197169399375105820974.....) is an example of the non-terminating decimal as it keeps on continuing after the decimal point.

To know more about the topic given above please go through the following links

Link1:- https://brainly.in/question/54725524?

Link2:- https://brainly.in/question/54705620?

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