Question

How do you convert `12.5x10^-4 m` to `mm`?

Answer 1

`12x xx 10^(-1)`

Explanation:

DID YOU KNOW: you can treat the units of measurement in the same way you do the numbers.

Write as `" "(12.5x xx 1/10000) color(red)(m)larr" measured in metres"`

But there are 1000 mm per (for each) metre. Written as `(mm)/m`

So the constant of conversion is `1000/1color(white)(.)color(green)((mm)/m)`

To convert the original value to mm we write

`(12.5x xx 1/10000) xx 1000/1xxcolor(red)(cancel(m))xxcolor(green)((mm)/(cancel(m))`

`12x xx 1/10color(white)(.) mm`

Writing the answer in the same format as the question.

`12x xx 10^(-1)`