Show the following numbers on a number line. 3 2 , 5 2 , - 3 2

Let us see how to show 3 2 , 5 2 , - 3 2 on the number line. Here 3 2 = 3 × 1 2 , therefore each unit on right side of zero is divided into two equal parts. Third point from zero shows 3 2 or 3 2 = 1 + 1 2 . So the point at 1 2 distance of unit after 1 unit shows 3 2 . Fifth point from zero shows 5 2 or 5 2 = 2 + 1 2 . So the point at 1 2 distance of unit after 2 unit shows 5 2 . To show - 3 2 on the number line, the number is located to the left of zero at the same distance of 3 2 will show the number - 3 2 .

Show the following numbers on a number line. 7 5 , - 2 5 , - 4 5

Let us see how to show 7 5 , - 2 5 , - 4 5 on the number line. Here 7 5 = 7 × 1 5 , therefore each unit on right side of zero is divided into five equal parts. Seventh point from zero shows 7 5 or 7 5 = 1 + 2 5 . So the point at 2 5 distance of unit after 1 unit shows 7 5 Second point from zero shows 2 5 . To show - 2 5 on the number line, the number is located to the left of zero at the same distance of 2 5 will show the number - 2 5 Fourth point from zero shows 4 5 . To show - 4 5 on the number line, the number is located to the left of zero at the same distance of 4 5 will show the number - 4 5 Hence, the representation of numbers 7 5 , - 2 5 , - 4 5 are shown below:

Show the following numbers on a number line. - 5 8 , 11 8

Let us see how to show - 5 8 , 11 8 on the number line. Here 11 8 = 11 × 1 8 , therefore each unit on right side of zero is divided into eight equal parts. Eleventh point from zero shows 11 8 or 11 8 = 1 + 3 8 . So the point at 3 8 distance of unit after 1 unit shows 11 8 Fifth point from zero shows 5 8 . To show - 5 8 on the number line, the number is located to the left of zero at the same distance of 5 8 will show the number - 5 8 So, the number line is represented as:

Show the following numbers on a number line. 13 10 , - 17 10

Let us see how to show 13 10 , - 17 10 on the number line. Here 13 10 = 13 × 1 10 , therefore each unit on right side of zero is divided into ten equal parts. Thirteenth point from zero shows 13 10 or 1 + 3 10 . So, the point at 3 10 distance of unit after 1 unit shows 13 10 Seventeenth point from zero shows 17 10 or 1 + 7 10 . So, the point at 7 10 distance of unit after 1 unit shows 17 10 To show - 17 10 on the number line, the number is located to the left of zero at the same distance of 17 10 will show the number - 17 10

E M B I B E

Mathematics Standard Eight>Part 1>Chapter 1 - Rational and Irrational Numbers>Practice Set 1.1

Maharashtra Board Solutions for Exercise 1: Practice Set 1.1

Author:Maharashtra Board

Maharashtra Board Mathematics Solutions for Exercise - Maharashtra Board Solutions for Exercise 1: Practice Set 1.1

Attempt the practice questions from Exercise 1: Practice Set 1.1 with hints and solutions to strengthen your understanding. Mathematics Standard Eight solutions are prepared by Experienced Embibe Experts.