Metric mixed units

πŸ”Ή What Are Metric Mixed Units?

Metric mixed units are measurements written using more than one metric unit for the same quantity.
βœ… Example: 1 m 25 cm, 3 kg 450 g, 2 L 300 mL


πŸ“ 2. Metric Units Used in Mixed Measurements

QuantityMain UnitsSmaller Units
Length ✨km, mcm, mm
Mass βš–οΈkgg
Capacity πŸ’§LmL

πŸ” Conversion Rules (Important!)

πŸ“ Length

  • 1 m = 100 cm
  • 1 cm = 10 mm
  • 1 km = 1000 m

βš–οΈ Mass

  • 1 kg = 1000 g

πŸ’§ Capacity

  • 1 L = 1000 mL

πŸ”Έ Why Use Mixed Units?

Mixed units help in showing precise measurements clearly.
πŸ’‘ Example: Instead of 125 cm, we say 1 m 25 cm for clarity.


πŸ”„ Changing Mixed Units to Single Units

πŸ‘‰ Add after converting to the same unit
Example:
2 m 30 cm = 2 m + 0.30 m = 2.30 m
OR
2 m 30 cm = 200 cm + 30 cm = 230 cm


βž— Changing Single Units to Mixed Units

Split the units into bigger and smaller units.
Example:
1450 g = 1 kg 450 g
2500 mL = 2 L 500 mL


🧠 Quick Tip to Remember

✨ β€œBreak or Join” Rule:
βœ”οΈ Join units β†’ convert to same unit then add
βœ”οΈ Break units β†’ divide into big + small unit


πŸ§ͺ Examples

Mixed UnitAs Single Unit
3 m 75 cm375 cm
4 kg 200 g4200 g
1 L 650 mL1650 mL

πŸ“š Real-Life Uses

Metric mixed units are used in:
🍰 Cooking recipes
πŸ“ Measuring height & length
🎽 Body weight
πŸ§ƒ Liquid volumes (milk, juice, oil)


🏁 Practice to Master!

Try converting:
a) 6 m 40 cm β†’ ______ cm
b) 3500 mL β†’ ______ L ______ mL
c) 2 kg 750 g β†’ ______ g

Learn with an example

Find out how many kilograms are in 7,518 grams.

Divide:

7,518 Γ· 1,000 = 7 R518

There are 7 kilograms, with 518 grams left over.

7,518 g = 7 kg 518 g

Convert the 65 grams to kilograms.

Divide:

65 Γ· 1,000 = 0.065
65 g = 0.065 kg

Now add this to the 5 kilograms you already have:

5 kg 65 g = 5 kg + 0.065 kg

5 kg 65 g = 5.065 kg

Find out how many metres are in 431 centimetres.

Divide:

431 Γ· 100 = 4 R31
There are 4 metres, with 31 centimetres left over.

431 cm = 4 m 31 cm

let’s practice!