Metric mixed units
Key Notes :
๐ฏ 1. Understanding Metric Units
The metric system is based on powers of 10, making it easy to convert between units by multiplying or dividing.
- Length: millimeters (mm), centimeters (cm), meters (m), kilometers (km)
- Mass: milligrams (mg), grams (g), kilograms (kg)
- Volume: milliliters (mL), liters (L)
๐ 2. Conversion Basics
- To convert to a smaller unit โ Multiply
- To convert to a larger unit โ Divide
Example:
- 1 meter = 100 centimeters โ Multiply by 100 to convert meters to centimeters.
- 1000 grams = 1 kilogram โ Divide by 1000 to convert grams to kilograms.
๐ 3. Length Conversion Table
Unit | Relationship |
---|---|
1 kilometer (km) | 1000 meters (m) |
1 meter (m) | 100 centimeters (cm) |
1 centimeter (cm) | 10 millimeters (mm) |
Example:
- Convert 4 kilometers to meters:
4ร1000=4000โm
โ๏ธ 4. Mass Conversion Table
Unit | Relationship |
---|---|
1 kilogram (kg) | 1000 grams (g) |
1 gram (g) | 1000 milligrams (mg) |
Example:
- Convert 750 grams to kilograms:
750รท1000=0.75โkg
๐ง 5. Volume Conversion Table
Unit | Relationship |
---|---|
1 liter (L) | 1000 milliliters (mL) |
Example:
- Convert 2.5 liters to milliliters:
2.5ร1000=2500โmL
๐ 6. Comparing Metric Units
When comparing metric units:
- Larger units โ for bigger measurements (e.g., kilometers for distances between cities)
- Smaller units โ for tiny measurements (e.g., millimeters for small objects)
Example:
- Which is larger: 3 meters or 250 centimeters?
Convert 3 meters to centimeters:
3ร100=300โcm โ 3 meters is larger
๐ 7. Quick Tips for Converting and Comparing
- Remember the patterns: Kilo โ Hecto โ Deca โ Base Unit โ Deci โ Centi โ Milli
- Multiply for smaller units, divide for larger units
- Check your units to ensure answers make sense (e.g., a pen should weigh grams, not kilograms!)
Learn with an example
๐ข Convert.
Write your answer as a decimal.
1 cm 5 mm = _______ cm
Convert the 5 millimetres to centimetres.
Divide:
5 รท 10 = 0.5
5 mm = 0.5 cm
Now add this to the centimetre you already have:
1 cm 5 mm = 1 cm + 0.5 cm
1 cm 5 mm = 1.5 cm
๐ข Convert:
7 m 65 cm = ______ cm
Convert the 7 metres to centimetres.
Multiply:
7 ร 100 = 700
7 m = 700 cm
Now add this to the 65 centimetres you already have:
7 m 65 cm = 700 cm + 65 cm
7 m 65 cm = 765 cm
๐ข Convert:
943 cm = ___ m _____ cm
Find out how many metres are in 943 centimetres.
Divide:
943 รท 100 = 9 R43
There are 9 metres, with 43 centimetres left over.
943 cm = 9 m 43 cm
Let’s practice!๐๏ธ