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The standard form of rational number $8 − 36$ is:

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− 4 9

− 1 9

− 5 9

− 2 9

answer is D.

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Detailed Solution

Given a rational number

8 − 36

.
If H.C.F. of numerator and denominator is only 1 such that the denominator is always positive, then the rational number is said to be in standard form.
Finding the H.C.F of numerator and denominator,
Prime factors of 8 and 36,

8 = 2 × 2 × 2

36 = 2 × 2 × 3 × 3

H.C.F = 4
Now, dividing and multiplying by 4,

= 8 − 36 × 44 = − 2 9

Standard form is

− 2 9

.
Therefore, option 4 is correct.

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