## Play the games below to practice

## Relating units of measurement

## Converting units of measurement

**Determine the direction and size of the conversion.**This quick method will allow you to simply and easily convert between metric units without having to perform any multiplication or division. To begin, all you need to know is whether you're converting from a small unit to a larger unit or vice versa, as well as the size of the conversion you're making.

- Both of these can be determined by counting spaces and/or drawing an arrow on a line of the metric prefixes. For example, if we want to convert from kilometers to decameters, we know that we're converting from a large unit to a small unit because we have to travel to the right along the line to get from "kilo" to "deca," and we know that decameters are 102 times smaller than kilometers because "kilo" and "deca" are separated by two spaces.

**Move the decimal point in your measurement.**Since two metric units always differ from each other by some multiple of ten, it's possible to make metric conversions simply by shifting your initial number's decimal point. When converting from a large unit to a smaller unit, shift the decimal point one digit to the

**right**for each power of ten that your desired units differ from your initial units. When converting from a small unit to a larger unit, move the decimal place to the

**left.**Remember that the power of ten by which your desired units differ from your initial units is given by the number of spaces apart the two units are on the line of prefixes.For example, let's say that we want to convert 1 kilometer into centimeters. Since we can tell from the line of prefixes that centimeters are 10 (to the power of 5) times smaller than kilometers, we move the decimal point in "1" five spaces to the right. See below

- You may also do the reverse - move a number's decimal to the left to convert to a larger unit

**1.**Moving the decimal place to the right means you must insert a zero so that the number becomes

**10.**

- The same principal applies when moving a decimal point to the left - begin inserting zeroes when you move the decimal beyond the number's available digits.

## Metric Conversion Practice

Across
1 1450 cm in m4 37 mm in cm6 2.8 cm in mm7 0.048 l in ml10 0.707 kg in g12 564 cm in m14 7.35 m in cm15 31.42 l in cl16 9090 g in kg18 0.026 km in m19 4100 ml in l20 3.4 cm in mm22 0.523 kg in g23 7070 mm in m |
Down
1 0.12 l in ml2 0.048 m in mm3 5.2 cm in mm4 0.39 km in m5 0.074 kg in g8 8.05 kg in g9 3460 m in km10 7400 cl in l11 7.7 l in ml12 510 mm in cm13 6.2 cm in mm15 3.425 kg in g16 9870 ml in l17 0.932 kg in g21 4.3 m in cm22 5.6 cm in mm |

## More Practice

## Converting between units of capacity (litres, millilitres etc.)

## Word Problems converting between metric units

Follow this link to the Khan Academy to practice solving word problems that involve converting between common metric units. Once you have solved them practice on the examples below.

## Extension : Become the teacher

Your mission is to create a short tutorial to explain how to convert between common units of measurement. You can use any method you like - Multiplying/Dividing by 10, 100, 1000 or using King Henry.

Demonstrate using examples, and include one practice question for the 'viewer' to complete that you then solve for them to check if they have understood your method.

Demonstrate using examples, and include one practice question for the 'viewer' to complete that you then solve for them to check if they have understood your method.