Simplify 0.026 × 0.36/0.69. Leave your answer in standard form

Correct Answer is : 1.36 x 10-2

Correct Answer is : 1.36 x 10-2

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JAMB Mathematics 2016 Paper

Question : 21

Total: 50

Simplify

\frac{0.026 \times 0.36}{0.69}

. Leave your answer in standard form

Solution:

Concept:

Express decimals as powers of

10

and simplify the arithmetic before converting to standard form.

Explanation:

Rewrite each decimal using scientific notation:

0.026 = 26 \times 10^{-3}

0.36 = 36 \times 10^{-2}

0.69 = 69 \times 10^{-2}

So the fraction becomes:

\frac{26 \times 10^{-3} \times 36 \times 10^{-2}}{69 \times 10^{-2}}

Cancel

10^{-2}

from numerator and denominator:

\frac{26 \times 36 \times 10^{-3}}{69}

Calculate:

\frac{26 \times 36}{69} = \frac{936}{69} = 13.565217...

Multiply by

10^{-3}

13.565217 \times 10^{-3} = 0.013565217...

Round to three significant figures:

0.0136 = 1.36 \times 10^{-2}

Answer:

1.36 \times 10^{-2}

(Option D).

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