RD Sharma solution class 7 chapter 6 Exponents Exercise 6.3

Exercise 6.4

Page-6.31

Question 1:

Write the following numbers in the expanded exponential forms:
(i) 20068
(ii) 420719
(iii) 7805192
(iv) 5004132
(v) 927303

Answer 1:

We have
(i) 20068 = 2 x 104 + 0 x 103 + 0 x 102 + 6 x 101 + 8 x 100
(ii) 420719 = 4 x 105 + 2 x 104 + 0 x 103 + 7 x 102 + 1 x 101 + 9 x 100
(iii) 7805192 = 7 x 106 + 8 x 105 + 0 x 104 + 5 x 103 + 1 x 102 + 9 x 101 + 2 x 100
(iv) 5004132 = 5 x 106 + 0 x 105 + 0 x 104  4 x 103 + 1 x 102 + 3 x 101 + 2 x 100
(v) 927303 = 9 x 105 + 2 x 104  + 7 x 103 + 3 x 102 +  0 x 101 + 3 x 100

Note: a0 = 1

Question 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

Answer 2:

We have

(i) 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 = 76045

(ii) 5 × 105 + 4 × 104 + 2 × 103 + 3 × 100
      = 
5 x 100000 + 4 x 10000 + 2 x 1000 + 3 x 1 = 542003

(iii) 9 × 105 + 5 × 102 + 3 × 101
       
= 9 x 100000 + 5 x 100 + 3 x 10 = 900530

(iv)
3 × 104 + 4 × 102 + 5 × 100
     = 3 x 10000 + 4 x 100 + 5 x 1 = 30405

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