Show how 5 can be represented on the number line.

To represent 5 on the number line, take O A = 2 units and make a perpendicular at A , so that A B = 1 unit , as shown in the figure. Then, ∆ O A B is a right-angled triangle So, by applying Pythagoras theorem, we get, O B 2 = O A 2 + A B 2 . ⇒ O B 2 = 2 2 + 1 2 ⇒ O B 2 = 5 ⇒ O B = 5 units . Now, taking O as Centre and O B as radius, draw an arc intersecting the number line at P . Hence, O P is the required distance that represents 5 .

E M B I B E

MATHEMATICS Textbook for Class IX>Chapter 1 - Number Systems>EXERCISE

Goa Board Solutions for Chapter: Number Systems, Exercise 2: EXERCISE

Author:Goa Board

Goa Board Mathematics Solutions for Exercise - Goa Board Solutions for Chapter: Number Systems, Exercise 2: EXERCISE

Attempt the practice questions on Chapter 1: Number Systems, Exercise 2: EXERCISE with hints and solutions to strengthen your understanding. MATHEMATICS Textbook for Class IX solutions are prepared by Experienced Embibe Experts.