# How do you write 0.096 in scientific notation?

Jan 20, 2016

$9.6 \times {10}^{-} 2$

#### Explanation:

A number in scientific notation has to satisfy the following conditions

It has to be of the form : $a \times {10}^{n}$

where 1 ≤ a < 10 , and n is an integer.

To convert 0.096 into a number between 1 and 10 = 9.6

To put it back into it's original form requires moving the
decimal point 2 places to the left from where we have put it.

$\Rightarrow 0.096 = 9.6 \times {10}^{-} 2$

Jan 20, 2016

$9.6 \times {10}^{-} 2$

#### Explanation:

In scientific notation the numbers are written in the following form

$m \times {10}^{n}$

here the exponent $n$ is chosen so that the absolute value of $m$ remains at least one but less than ten or (1 ≤ |m| < 10)