# How do you express #0.0125# in scientific form?

##### 1 Answer

Feb 12, 2017

#### Explanation:

A number expressed in

#color(blue)"scientific form "# has the form.

#color(red)(bar(ul(|color(white)(2/2)color(black)(axx10^n)color(white)(2/2)|)))#

where#1<=a<10" and n is an integer"# Expressing 0.0125 in this form means writing the number as a value between 1 and 10

#rArr0.0125to1.25# and to put the decimal point back to where it should be means multiplying by

#1/100# equivalent to moving the decimal point 2 places left, represented by an exponent of - 2

#rArr1.25xx1/100=1.25xx10^-2#