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

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Solution

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

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Write the following decimal numbers in the expanded form:

(i) 20.03 (ii) 2.03 (iii) 200.03

(iv) 2.034

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