# Calculate and convert between units of measure

## In a nutshell

By converting between units of measures, measurements can be presented in their most simple forms. These conversions will often involve handling decimals and units of length, mass and volume.

## Conversion rates

The conversion rates you will have to know are listed below.

$1km = 1000m$

$1m = 100cm$

$1cm = 10mm$

$1 l = 1000ml$

$1kg=1000g$

## Converting between units of measures

Use conversion rates to calculate and simplify measurements into a more presentable format.

##### Example 1

*What is $0.654kg$ in grams?*

*Identify the conversion rate between kilograms and grams. *

$1kg = 1000g$

*To convert kilograms to grams, multiply by *$1000$*.*

$0.654 \times 1000 = 654$

*Therfore,*

$\underline{ 0.654kg = 654 \ grams.}$

##### Example 2

*Rewrite *$8000mm$* in metres. *

*First, convert millimetres to centimetres using the conversion rate:*

$1cm =10mm$

*To convert millimetres to centimetres, divide by *$10$*.*

*$8000 \div 10 = 800cm$*

**

*Next, use the conversion rate for centimetres to metres.*

$1m = 100cm$

*To convert centimetres to metres, divide by $100$. *

$800 \div 100 = 8m$

*Therefore,*

$\underline{8000mm = 8 \ metres. }$

**Note: **To convert directly from millimetres to metres, divide by $1000$.