# Category Archives: Class 8

Question 1. Find the square of the following numbers. (i) 32 (32)2 = (30 + 2)2 = (30)2 + (2)2 + 2 × 30 ×… Read More
Chapter 2 Powers – Exercise 2.2 | Set 1 Question 11. By what number should (5/3)-2 be multiplied so that the product may be (7/3)-1? Solution:… Read More
Question 1. Write each of the following in exponential form: (i) (3/2)-1 × (3/2)-1 × (3/2)-1 × (3/2)-1 Solution: = (3/2)-1 × (3/2)-1 × (3/2)-1… Read More
Question 1. Express the following numbers in standard form (i) 6020000000000000 Solution: To express 6020000000000000 in standard form, first write it simply in the form… Read More
Question 1. Express the following numbers in standard form: (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000 Solution: (i) 0.0000000000085 = 85/10000000000000 =… Read More
Question 1. Express each of the following as a rational number of the form p/q, where p and q are integers and q ≠ 0… Read More
We use cross multiplication in this exercise a lot of times, so it is explained here before. Let, a/b = c/d Now if we multiply… Read More
Question 1. Find the value of x : 3x = 2x + 18 Solution: 3x – 2x =18 (transposing 2x to LHS) X = 18… Read More
Chapter 1 Rational Numbers – Exercise 1.3 | Set 1 Question 11. What number should be subtracted from 3/7 to get 5/4? Solution: Let the number… Read More
Chapter 9 Algebraic Expressions and Identities – Exercise 9.5 | Set 1  Question 5. Show that: (i) (3x + 7)2 – 84x = (3x –… Read More
Question 1. Multiply: (i) 7/11 by 5/4 Solution: 7/11 × 5/4 Multiplying numerator with numerator of other rational number and denominator with denominator = (7… Read More
Question 1: Verify the property: x × y = y × x by taking: (i) x = -1/3, y = 2/7 Solution: x × y… Read More
Chapter 1 Rational Numbers – Exercise 1.7 |  Set 1 Problem 11. The cost of 2 1/3 meters of cloth is Rs 75 ¼. Find the… Read More
Problem 1. Divide: (i) 1 by 1/2 Solution: = 1 / (1 / 2) = 1 × (2 / 1) = 2 ii) 5 by… Read More
Problem 1. Simplify each of the following and write as a rational number in the form of p/q: (i) 3/4 + 5/6 + -7/8 Solution:… Read More