How do you convert 872.4 mm to centimeters?

1 Answer

87.24 cm

Explanation:

In the Metric System, conversions between different measures are based on the number 10.

Let's take this problem for example and first see that we start with a measure in "mm", or millimetres. The prefix, "milli-", means "a thousandth of", or "made up of 1000 parts".

In 1 metre, there are 1000 millimetres.

We want to convert to cm, or centimetres. The prefix, "centi-", means "a hundredth of", or "made up of 100 parts".

In 1 metre, there are 100 centimetres.

We can do this conversion in a couple of different ways. We can do it as a ratio (since 100 centimetres is the same as 1000 millimetres, we can say):

#(100 "cm")/(1000 "mm")=(x "cm")/(872.4"mm")#

since we know #x# will be in cm, I'll drop the units for the calculation:

#1000x=872.4(100)#

#x=872.4(100)/1000=872.4/10=87.24"cm"#

Notice how the decimal moved one place to the left? That's another way we can do conversions - simply move the decimal the correct number of places in the correct direction.