To excel in the final exam, students can download the PDF of RD Sharma Solutions for Class 7 Maths Exercise 6.4 Chapter 6 Exponents, which is available here. The BYJU’S subject expert team has designed solutions efficiently to help students solve problems in the most effective possible ways. By practising RD Sharma Solutions for Class 7 Maths, students will be thorough with Maths concepts. In this exercise, students will learn how to convert a given number into an expanded exponential form and vice-versa. This exercise contains two questions with many sub-questions.
RD Sharma Solutions for Class 7 Maths Chapter 6 – Exponents Exercise 6.4
Access answers to Maths RD Sharma Solutions for Class 7 Chapter 6 – Exponents Exercise 6.4
1. Write the following numbers in the expanded exponential forms:
(i) 20068
(ii) 420719
(iii) 7805192
(iv) 5004132
(v) 927303
Solution:
(i) Given 20068
20068 = 2 x 104 + 0 x 103 + 0 x 102 + 6 x 101 + 8 x 100
(ii) Given 420719
420719 = 4 x 105 + 2 x 104 + 0 x 103 + 7 x 102 + 1 x 101 + 9 x 100
(iii) Given 7805192
7805192 = 7 x 106 + 8 x 105 + 0 x 104 + 5 x 103 + 1 x 102 + 9 x 101 + 2 x 100
(iv) Given 5004132
5004132 = 5 x 106 + 0 x 105 + 0 x 104 + 4 x 103 + 1 x 102 + 3 x 101 + 2 x 100
(v) Given 927303
927303 = 9 x 105 + 2 x 104 + 7 x 103 + 3 x 102 + 0 x 101 + 3 x 100
2. Find the number from each of the following expanded forms:
(i) 7 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100
(ii) 5 × 105 + 4 × 104 + 2 × 103 + 3 × 100
(iii) 9 × 105 + 5 × 102 + 3 × 101
(iv) 3 × 104 + 4 × 102 + 5 × 100
Solution:
(i) Given 7 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100
= 7 x 10000 + 6 x 1000 + 0 x 100 + 4 x 10 + 5 x 1
= 70000 + 6000 + 0 + 40 + 5
= 76045
(ii) Given 5 × 105 + 4 × 104 + 2 × 103 + 3 × 100
= 5 x 100000 + 4 x 10000 + 2 x 1000 + 3 x 1
= 500000 + 40000 + 2000 + 3
= 542003
(iii) Given 9 × 105 + 5 × 102 + 3 × 101
= 9 x 100000 + 5 x 100 + 3 x 10
= 900000 + 500 + 30
= 900530
(iv) Given 3 × 104 + 4 × 102 + 5 × 100
= 3 x 10000 + 4 x 100 + 5 x 1
= 30000 + 400 + 5
= 30405
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