Is zero a rational number? Can you write it in the form of p q , where p and q are integers and q ≠ 0 ?

A number ‘ r ’ is said to be a rational number, if it can be represented in the form p q , where p and q are integers and q ≠ 0 . The number 0 can be written as: 0 1 or 0 2 or 0 3 . . . or 0 n , where n can be any integer, except 0 . Since 0 can be represented in the p q form, where q ≠ 0 , Hence, zero is a rational number.

Find five rational numbers between 3 5 and 4 5 .

There are a infinite number of rational numbers between 3 5 and 4 5 . We can find them, by multiplying and dividing the numerator and denominator by the same number. We can choose any number to multiply and divide but ideally, we choose the number that is more than the required number of rational numbers So, let us choose 7 . Now, 3 5 = 3 × 7 5 × 7 = 21 35 and 4 5 = 4 × 7 5 × 7 = 28 35 . Therefore, the required numbers are 22 35 , 23 35 , 24 35 , 25 35 , 26 35 . Note: There are a infinite number of rational numbers in between two given rational numbers, so answer is not unique. It depends upon the numbers you have taken.

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MATHEMATICS: Class IX>Chapter 1 - Number Systems>EXERCISE

EXERCISE

Author:Jharkhand Board

Jharkhand Board Mathematics Solutions for EXERCISE

Simple step-by-step solutions to EXERCISE questions of Number Systems from MATHEMATICS: Class IX. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.