Question

How do you express `0.0125` in scientific form?

Answer 1

`1.25xx10^-2`

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`