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BECE Mathematics 2019 Paper

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Question : 33

Total: 40

Evaluate:

(0.07 \times 0.02) \div 14

$0.01$
$0.001$
0.0001
$0.00001$

Solution:

Concept:

Express the decimals using powers of

10

, then simplify by multiplying and dividing.

Explanation:

Write each decimal in terms of a whole number and a power of

10

:

0.07 = 7 \times 10^{-2}

0.02 = 2 \times 10^{-2}

Now multiply them:

(0.07 \times 0.02) = (7 \times 10^{-2}) \times (2 \times 10^{-2})

= 14 \times 10^{-4}

Next, divide by

14

:

(14 \times 10^{-4}) \div 14 = 10^{-4}

Finally, change

10^{-4}

back to decimal form:

10^{-4} = 0.0001

Answer:

0.0001

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