Simplify 3 8 × 3 3 × 5 8 × 5 0 ( 3 × 5 ) 5

Given 3 8 × 3 3 × 5 8 × 5 0 ( 3 × 5 ) 5 We know that, a m × a n = a m + n Therefore, the given expression can be written as 3 8 × 3 3 × 5 8 × 5 0 ( 3 × 5 ) 5 = 3 8 + 3 × 5 8 + 0 ( 3 × 5 ) 5 = 3 11 × 5 8 ( 3 × 5 ) 5 = 3 11 × 5 8 3 5 × 5 5 = 3 11 - 5 × 5 8 - 5 ∵ a m a n = a m - n Hence, 3 8 × 3 3 × 5 8 × 5 0 ( 3 × 5 ) 5 = 3 6 × 5 3

Find the number from the following. 5 × 10 10 + 3 × 10 9 + 9 × 10 7 + 7 × 10 5 + 5 × 10 2 + 8 × 10 1

Given 5 × 10 10 + 3 × 10 9 + 9 × 10 7 + 7 × 10 5 + 5 × 10 2 + 8 × 10 1 In expanded form of a number, the number is shown according to the place values of its digits. For example, the expanded form of the number 1572 is 1000 + 500 + 70 + 2 . ⇒ 1572 = 1 × 10 3 + 5 × 10 2 + 7 × 10 1 + 2 × 10 0 Therefore, 5 × 10 10 + 3 × 10 9 + 9 × 10 7 + 7 × 10 5 + 5 × 10 2 + 8 × 10 1 = 5 × 10000000000 + 3 × 1000000000 + 7 × 10000000 + 5 × 100 + 8 × 10 = 50000000000 + 3000000000 + 70000000 + 500 + 80 = 53009700580

Find the number from the following. 2 × 10 8 + 7 × 10 7 + 5 × 10 6 + 3 × 10 5 + 1 × 10 4 + 3 × 10 3 + 4 × 10 2 + 8 × 10 1

Given 2 × 10 8 + 7 × 10 7 + 5 × 10 6 + 3 × 10 5 + 1 × 10 4 + 3 × 10 3 + 4 × 10 2 + 8 × 10 1 In expanded form of a number, the number is shown according to the place values of its digits. For example, the expanded form of the number 1572 is 1000 + 500 + 70 + 2 . ⇒ 1572 = 1 × 10 3 + 5 × 10 2 + 7 × 10 1 + 2 × 10 0 Therefore, 2 × 10 8 + 7 × 10 7 + 5 × 10 6 + 3 × 10 5 + 1 × 10 4 + 3 × 10 3 + 4 × 10 2 + 8 × 10 1 = 2 × 100000000 + 7 × 10000000 + 5 × 1000000 + 3 × 100000 + 1 × 10000 + 3 × 1000 + 4 × 100 + 8 × 10 = 200000000 + 70000000 + 5000000 + 300000 + 10000 + 3000 + 400 + 80 = 275313480

E M B I B E

I Did It>Chapter 4 - Exponents>Worksheet

Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Exponents, Exercise 8: Worksheet

Author:Vaishali Bhatia & Rupesh Pathak

Vaishali Bhatia Mathematics Solutions for Exercise - Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Exponents, Exercise 8: Worksheet

Attempt the free practice questions on Chapter 4: Exponents, Exercise 8: Worksheet with hints and solutions to strengthen your understanding. I Did It solutions are prepared by Experienced Embibe Experts.