Does 10cm(squared) converted into millimetres(squared) equal this?

#1 + 10^3

2 Answers
Jan 31, 2018

It is #"multiplication"#, not addition

It should be #1 xx 10^3#

Explanation:

#"10  cm"^2 = "1000  mm"^2#

In scientific notation, #1000 = 10^3#

So #"1000  mm"^2 = 1xx10^3" mm"^2"#

Feb 7, 2018

#10cm^2 =1000mm^2#

(Multiply by #100# to convert area from #cm^2 " to " mm^2#)

Explanation:

When you are working with lengths (which is one-dimensional), then:

#1 cm = 10mm# and #10 cm = 100mm#

However, when you are working with area it is two-dimensional.
This means that when you convert from cm to mm you have to do it in BOTH directions, so #xx10 and xx10 = xx10^2#

From #cm^2# to #mm^2# you have to multiply by #100#

#10cm^2 = 10xx100 mm^2 = 1000mm^2#