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JAMB Mathematics 2021 Paper

Question : 13

Total: 40

\frac{0.00275 \times 0.00640}{0.025 \times 0.08}

Solution:

Concept:

Standard form is written as

A \times 10^n

, where

1 \le A < 10

Explanation:

Rewrite the decimals so they cancel cleanly in pairs:

\frac{0.00275 \times 0.0064}{0.025 \times 0.08} = \frac{275 \times 64}{2500 \times 800}

Multiply the numerator:

275 \times 64 = 17600

Multiply the denominator:

2500 \times 800 = 2000000

So the fraction becomes

\frac{17600}{2000000} = \frac{88}{10000}

Write

\frac{88}{10000}

as a decimal:

0.0088

Convert to standard form by moving the decimal point three places right:

0.0088 = 8.8 \times 10^{-3}

Answer:

8.8 \times 10^{-3}

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