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

### 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)
$$17.01 \times 10^3$$

### Explanation:

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

## Dicussion (1)

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