# How do you express 0.0125 in scientific form?

Feb 12, 2017

$1.25 \times {10}^{-} 2$

#### Explanation:

A number expressed in $\textcolor{b l u e}{\text{scientific form }}$ has the form.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{a \times {10}^{n}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where $1 \le a < 10 \text{ and n is an integer}$

Expressing 0.0125 in this form means writing the number as a value between 1 and 10

$\Rightarrow 0.0125 \to 1.25$

and to put the decimal point back to where it should be means multiplying by $\frac{1}{100}$ equivalent to moving the decimal point 2 places left, represented by an exponent of - 2

$\Rightarrow 1.25 \times \frac{1}{100} = 1.25 \times {10}^{-} 2$