Question

State whether 35/50 have terminating or non terminating
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Answer 1

Step-by-step explanation:

ANSWER:-

Given Fraction :-

$\dfrac{ 35}{50}$

We know that:-

• Any denominator which has a format of 2^m ×5^n has a terminating decimal .
• The terminating ones are Rational As they are in fractions.

Factors:-

• Factors of 50 are :-
• 2 ×5×5

So,

$\dfrac{35}{ {5}^{2} \times 2}$

• So, we can observe that it is terminating as the DENOMINATOR is obtained in the factors of 2 and 5 respectively.
• So, it is a terminating Number.

Note:-

• If in case , there is one more multiple say

$2 \times 5 \times 7$

• In this case,
• Due to 7 it is not terminating.

Terminating Non Terminating :-

• Those numbers which occur in roots or in continuous decimals are non terminating numbers.
• Terminating Numbers are those which are Rational and also stop at fixed decimal.
• It does not occur in roots, but in perfect Squares.