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Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)...


Question

Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)

Options

A) 8.8 x 10-1

B) 8.8 x 10-2

C) 8.8 x 10-3

D) 8.8 x 103

The correct answer is C.

Explanation:

\(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)
Removing the decimals = \(\frac{275 \times 64}{2500 \times 800}\)
= \(\frac{88}{10^4}\)
88 x 10-4 = 88 x 10-1 x 10-4
= 8.8 x 10-3

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Dicussion (1)

  • \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)
    Removing the decimals = \(\frac{275 \times 64}{2500 \times 800}\)
    = \(\frac{88}{10^4}\)
    88 x 10-4 = 88 x 10-1 x 10-4
    = 8.8 x 10-3

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