# How do you express 3.08times10^-4 in standard form?

Apr 24, 2017

Because the exponent of the 10s term is negative we must move the decimal point 4 places to the left:

$3.08 \times {10}^{-} 4 = 0.000308$

Apr 24, 2017

$3.08 \cdot {10}^{-} 4 = 0.000308$

#### Explanation:

Since the exponent on 10 is negative 4 , just move the decimal point 4 spaces to the left.
Think of the number this way...

$000003.0800000$

$3.08 \cdot {10}^{-} 4$ now move the decimal 4 spaces left

$00.00030800000$

$0.000308$

Extra tip: if the exponent was positive you would move the decimal point to the right

$3.08 \cdot {10}^{4}$

$000003.0800000$ Move decimal 4 spaces right

$0000030800.000$

$30800$