How do you write $6.3 \times 10^{- 4}$ $6.3 times 10^-4$ in expanded form?

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How do you write $6.3 \times 10^{- 4}$ $6.3 times 10^-4$ in expanded form?

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Answer 1 · 2018-04-17T21:53:27

$0.00063$ $0.00063$

Explanation:

The way that I think of it is, is that the power is $- 4$ $-4$ . Therefore, you need one fewer zeros than that power before your actual number... sorry this isn't making any sense! I'll give examples:

$4 \cdot 10^{- 3} \to$ $4*10^-3 ->$ the power is a $3$ $3$ , so you need $2$ $2$ zeros before your number $= 0.004$ $= 0.004$

$1.7 \cdot 10^{- 5} \to$ $1.7*10^-5 ->$ the power is a $5$ $5$ , so you need $4$ $4$ zeros before your number $= 0.000017$ $= 0.000017$

$8.16 \cdot 10^{- 11} \to$ $8.16*10^-11 ->$ the power is an $11$ $11$ , so you need $10$ $10$ zeros before your number $= 0.0000000000816$ $= 0.0000000000816$

Hope this makes some sort of sense!

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How do you write $6.3 \times 10^{- 4}$ $6.3 times 10^-4$ in expanded form?

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