How to use the Metric System?

Question

i have to do conversions for homework and i need help with a few. you don't have to do all of them. you can just do one or two. can you explain also? i know all about moving the decimal with the Kilo, hecto, deca, meter, deci, centi, and milli, but the squared thing is confusing me.

10m^2= ________cm^2

56m^2= ________cm^2

500 cm^2 = _______m^2

6944 cm^2 = _______m^2

23 m^2= ________cm^2

200 m^2= _______cm^2

Answer 1

kilometre      1000 metres

hectometre   100 metres

decametre    10 metres

metre           1 metres

decimetre     .1 metres

centimetre    .01 metres

millimetre     .001 metres

all you need to know to do your homework

Answer 2

You have to square the multipliers.

So as there are 100 cm in a m there will be 100^2 cm^2 in a m^ or 10000 cm^2 in a m^2.

So 56m^2 = 56x10000 cm^2 = 560000 cm^2.

Conversely, 1cm^2 = 1/100 x 1/100 m^2

So 6944 cm^2 = 6944 / 10000 m^2 = 0.6944 m^2.