Metric mixed units

key notes :

What Are Metric Mixed Units?

Metric mixed units are measurements that combine two metric units for the same quantity.

Example:

  • 1 meter 45 centimeters (1 m 45 cm)
  • 3 kilograms 200 grams (3 kg 200 g)

Why Use Mixed Units?

  • Sometimes measurements don’t fit exactly into one unit.
  • Mixed units help express measurements more precisely and understandably.

Common Metric Mixed Units

  • Length: meters and centimeters (m and cm)
  • Mass (Weight): kilograms and grams (kg and g)
  • Capacity (Volume): liters and milliliters (L and mL)

Conversion Basics

  • 1 meter (m) = 100 centimeters (cm)
  • 1 kilogram (kg) = 1,000 grams (g)
  • 1 liter (L) = 1,000 milliliters (mL)

Reading Mixed Units

Read the larger unit first, followed by the smaller unit.

  • Example: “2 m 30 cm” means 2 meters and 30 centimeters.

Adding Mixed Units

Add same units separately, convert if necessary.

  • Example:
  • 2 kg 700 g + 1 kg 500 g =
  • (2 + 1) kg and (700 + 500) g =
  • 3 kg 1200 g → 4 kg 200 g (because 1000 g = 1 kg)

Subtracting Mixed Units

Subtract the smaller units first. If needed, borrow from the larger unit.

  • Example:
  • 5 L 300 mL – 2 L 600 mL =
  • Convert 1 L to 1000 mL:
  • 4 L 1300 mL – 2 L 600 mL = 2 L 700 mL

Real-Life Applications

Used in measuring:

  • Height (e.g., 1 m 75 cm)
  • Cooking ingredients (e.g., 1 kg 250 g of sugar)
  • Water bottles (e.g., 1 L 500 mL)

Learn with an example

📢 Convert. Write your answer as a decimal.

1 cm 5 mm = _______ cm

Convert the 5 millimetres to centimetres.

Divide:

5 ÷ 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

📢 Convert: 7 m 65 cm = ______ cm

Convert the 7 metres to centimetres.

Multiply:

7 × 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

📢 Convert: 943 cm = ___ m _____ cm

Find out how many metres are in 943 centimetres.

Divide:

943 ÷ 100 = 9 R43

There are 9 metres, with 43 centimetres left over.

943 cm = 9 m 43 cm

Let’s practice!🖊️