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Multiply $$2.7 \times 10^{-4}$$ by $$6.3 \times 10^6$$ and leave your answers in...

MathematicsWAEC SSCE

Question

Multiply $$2.7 \times 10^{-4}$$ by $$6.3 \times 10^6$$ and leave your answers in standard form

Options

A)
$$1.7 \times 10^3$$
B)
$$1.70 \times 10^3$$
C)
$$1.701 \times 10^3$$
D)
$$17.01 \times 10^3$$

The correct answer is C.

Explanation:

$$2.7 \times 10^{-4} \times 6.3 \times 10^6$$
$$= 2.7 \times 6.3 \times 10^{-4} \times 10^6$$
$$= 17.01 \times 10^{-4} + 6$$
$$= 17.01 \times 10^2$$
$$= 1.701 \times 10^1 \times 10^2$$
$$= 1.701 \times 10^1 + 2$$
$$= 1.701 \times 10^3$$

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Dicussion (1)

• $$2.7 \times 10^{-4} \times 6.3 \times 10^6$$
$$= 2.7 \times 6.3 \times 10^{-4} \times 10^6$$
$$= 17.01 \times 10^{-4} + 6$$
$$= 17.01 \times 10^2$$
$$= 1.701 \times 10^1 \times 10^2$$
$$= 1.701 \times 10^1 + 2$$
$$= 1.701 \times 10^3$$