Write each of the following in expanded from using exponents:
(i) $2357.328$
(ii) $432.476$
(iii) $38.0325$

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Solution

(i) $2357.328 = 2 \times 10^{3} + 3 \times 10^{2} + 5 \times 10 + 7 \times 1 + 3 \times 10^{- 1} + 2 \times 10^{- 2} + 8 \times 10^{- 3}$
(ii) $432.476 = 4 \times 10^{2} + 3 \times 10 + 2 \times 1 + 4 \times 10^{- 1} + 7 \times 10^{- 2} + 6 \times 10^{- 3}$
(iii) $38.0325 = 3 \times 10 + 8 \times 1 + 0 \times 10^{- 1} + 3 \times 10^{- 2} + 2 \times 10^{- 3} + 5 \times 10^{- 4}$

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