Convert rates and measurements: metric units
Key Notes:
๐ What is the Metric System?
- The metric system is a standard way of measuring used worldwide ๐
- It is based on powers of 10 ๐โ100โ1000 โ making conversions easy!
๐ Basic Metric Units
| Measurement | Unit | Symbol | Example |
|---|---|---|---|
| Length ๐ | metre | m | 5 m |
| Mass โ๏ธ | gram | g | 250 g |
| Volume ๐ง | litre | L | 2 L |
๐ Metric Prefixes & Values
| Prefix | Symbol | Meaning | Multiply by |
|---|---|---|---|
| kilo ๐ | km / kg / kL | thousand | ร 1,000 |
| hecto ๐ฏ | hm / hg / hL | hundred | ร 100 |
| deca ๐ | dam / dag / daL | ten | ร 10 |
| base unit โจ | m / g / L | one | ร 1 |
| deci ๐ฝ | dm / dg / dL | tenth | รท 10 |
| centi ๐งต | cm / cg / cL | hundredth | รท 100 |
| milli ๐ผ | mm / mg / mL | thousandth | รท 1,000 |
๐ Quick Conversion Trick
๐ Move the decimal point!
- To convert bigger โ smaller, ๐ move decimal to the right โก๏ธ
- To convert smaller โ bigger, ๐ move decimal to the left โฌ ๏ธ
๐ Example:
- 3.5 km โ m: km to m = ร1000 โ 3,500 m
- 650 m โ km: m to km = รท1000 โ 0.65 km
โ๏ธ Converting Between Units (Examples)
Length ๐
- 1 km = 1,000 m
- 1 m = 100 cm
- 1 cm = 10 mm
Mass ๐ช
- 1 kg = 1,000 g
- 1 g = 1,000 mg
Capacity/Volume ๐ง
- 1 L = 1,000 mL
๐ Converting Rates
A rate compares two different units (e.g., km/h, m/s, L/min).
โ Examples:
- 60 km/h to m/s
โ Multiply by 1000/3600 or divide by 3.6
โ 60 km/h รท 3.6 = 16.67 m/s - 300 mL/min to L/min
โ 300 รท 1000 = 0.3 L/min
๐ก Tips to Remember
โจ Write the units before converting
๐ Practice moving decimal places
๐ Use a metric ladder to go up or down
๐ง Always check if final unit is correct
๐ฏ Why Learn Conversions?
- Used in science experiments ๐งช
- Helps in shopping & cooking ๐ณ
- Needed for travel & speed calculations ๐
- Useful in medicine ๐ (mL to L, mg to g)
Learn with an example
Convert.
448 kilolitres=——— litres.
Write a conversion factor to convert kilolitres to litres. Put kilolitres in the denominator so that they will cancel out the kilolitres that are given.

Convert.
422 litres= ——–millilitres.
Write a conversion factor to convert litres to millilitres. Put litres in the denominator so that they will cancel out the litres that are given.

Convert.
884 kilograms= ——–grams.
Write a conversion factor to convert kilograms to grams. Put kilograms in the denominator so that they will cancel out the kilograms that are given.

let’s practice!

