# Question #c3c9a

Feb 23, 2017

Depends on what you are given.

#### Explanation:

If you are simply asked to give the scientific notation of a number, say 0.00000016, the decimal point ends up right after the FIRST whole number (except zero).

0.00000016 = $1.6$ x ${10}^{- 7}$
1,234,567,890 = $1.23$ x ${10}^{9}$

The movement of decimal depends on what numbers you were given. A $\textcolor{b l u e}{p o s i t i v e}$ exponent would mean that you have shifted the decimal from right to left.

1,000,000 = $1.0$ x ${10}^{6}$
213,645.89 = $2.14$ x ${10}^{5}$

A $\textcolor{red}{\text{negative}}$ movement means that the decimal place moved from left to right.

0.004 = $4.0$ x ${10}^{- 2}$
0.00435 = $4.35$ x ${10}^{- 2}$