Multiply 2.7 x 10 -4 by 6.3 x 10 6 and leave your answers in standard form

Correct Answer is : 1.701 x 103

Correct Answer is : 1.701 x 103

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WAEC Mathematics 2013 Paper

Question : 1

Total: 48

Multiply 2.7 x 10^-4 by 6.3 x 10⁶ and leave your answers in standard form

Solution:

Concept:

Multiplying numbers in standard form uses the rule of adding powers of

10

while multiplying the coefficients.

Explanation:

Write the multiplication as

2.7 \times 10^{-4} \times 6.3 \times 10^{6}

Group the coefficients and the powers of

10

(2.7 \times 6.3) \times (10^{-4} \times 10^{6})

Multiply the coefficients:

2.7 \times 6.3 = 17.01

Add the exponents:

10^{-4} \times 10^{6} = 10^{-4+6} = 10^{2}

So the product is

17.01 \times 10^{2}

Convert to standard form by writing

17.01

1.701 \times 10^{1}

Then

1.701 \times 10^{1} \times 10^{2} = 1.701 \times 10^{3}

Answer:

1.701 \times 10^{3}

Correct option: C.

1.701 \times 10^{3}

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