# How do you write 6.3 times 10^-4 in expanded form?

Apr 17, 2018

$0.00063$

#### Explanation:

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

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

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

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

Hope this makes some sort of sense!