Question

3. Check whether the following rational numbers are in standard form. If not, write them
in standard form
i)-3/19
ii)4/-7
iii)14/35
iv)8/-72​

Answer 1

Answer:

What is the standard form of a rational number?

A rational number abab is said to be in the standard form if b is positive, and the integers a and b have no common divisor other than 1.

How to convert a rational number into standard form?

In order to express a given rational number in the standard form, we follow the following steps:

Step I: Obtain the rational number.

Step II: See whether the denominator of the rational number is positive or not. If it is negative, multiply or divide numerator and denominator both by -1 so that denominator becomes positive.

Step III: Find the greatest common divisor (GCD) of the absolute values of the numerator and the denominator.

Step IV: Divide the numerator and denominator of the given rational number by the GCD (HCF) obtained in step III. The rational number so obtained is the standard form of the given rational number.