0.00256 × 0.0064/0.025 × 0.08

Correct Answer is : 8.2 x 10−3^{-3}−3

Correct Answer is : 8.2 x 10−3^{-3}−3

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JAMB Mathematics 2018 Paper

Question : 25

Total: 62

\frac{0.00256 \times 0.0064}{0.025 \times 0.08}

Solution:

Concept:

Convert the decimals to scientific notation to simplify the multiplication and division.

Explanation:

Write each number in standard form:

0.00256 = 2.56 \times 10^{-3}

0.0064 = 6.4 \times 10^{-3}

0.025 = 2.5 \times 10^{-2}

0.08 = 8.0 \times 10^{-2}

Numerator:

2.56 \times 6.4 \times 10^{-6} = 16.384 \times 10^{-6} = 1.6384 \times 10^{-5}

Denominator:

2.5 \times 8.0 \times 10^{-4} = 20 \times 10^{-4} = 2.0 \times 10^{-3}

Divide:

\frac{1.6384 \times 10^{-5}}{2.0 \times 10^{-3}} = 0.8192 \times 10^{-2} = 8.192 \times 10^{-3}

This is approximately

8.2 \times 10^{-3}

Answer:

8.2 \times 10^{-3}

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