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

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Answer 1 · 2017-02-11T12:55:36

#12x xx 10^(-1)#

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)#