How do I convert quantities into units?
Please explain in step by step form and as simple as possible.
Thank you.
Favorite Answer
Therefore, you go 277 cm x 0.01 m, which comes out to 2.77 m.
1 meter = 100 cm
so in other words… 1cm = 0.01 meters
The “math to the top would be as follows:
1 m = 100cm
1/100 m =100/100 cm <=~divided both sides by 100~ 0.01 m = 1 cm <=~simplify (1/100 = 0.01)~ with that in mind.... now that you have 227 cm and each one of those cm is 0.01 m... you can multiply 227cm by 0.01 getting a final answer.... 2.27 For future reference, you can see 0.01m = 1cm as 1 x 10^2 m = 1 cm 10^2m = 1cm That way... you can just move the DECIMAL of any cm value TWO spaces to the LEFT to the its value in m I hope this helped:D
277cm—/—1m—–/
————/————/ = 277/100= 2.77 m
———–/ 100cm /
So what I did was multiply the #s that were on the top then divide that by the numbers on the bottom. the number that you get after you’re done is in meters, because the cm cancel out so you’re left with meters. there are 100 cm per 1m. I knew this because:
kilo=1000
hecto=100
decka=10
deci=.10 or 1/10
centi=.01 or 1/100
milli=.001 or 1/1000
and make sure that the cm cancel out- if you have this:
277cm—/-100 cm-/
————/————/
———–/–1m——/
then you’re doing it wrong. cm should be diagonal to cm.
1 = 1m/100cm or 1 = 100cm/1m. To get these two equations you simply divide one side of the original equation,100cm=1m, by the other. For example:
100cm/100cm = 1m/100cm (divide both sides by 100cm)
1 = 1m/100cm (simplify)
Both of the ratios, 100cm/1m and 1m/100cm, equal 1. Anything times 1 is itself so we can multiply anything by either of the two ratios and not change the original value, just its units. Whatever unit you want to change has to be on the bottom of the ratio so it divides out and leaves the remaining unit. We want to change cm so we’re going to use the 1m/100cm ratio. Sounds tricky but watch . . .
277cm /1 x 1m/100cm (multiply 277cm by the ratio)
(277cm * 1m)/(1*100cm) (multiply fractions)
If you think of the units as variables, then when you multiply these two fractions the cm/cm equals 1 and you’re left with m as the only unit.
277m/100 (cancel the cm because cm/cm=1)
2.77m (divide 27 by 100 and you have the answer)
Therefore . . .
277cm = 2.77m
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