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Door 11 ยท Grade 4

๐Ÿ“ Measurement Conversions

1 km = 1,000 m; 1 m = 100 cm

โ–ถ Play Door 11

Length Conversions (km, m, cm)

The metric system uses powers of 10 for all conversions โ€” making them easy with multiplication and division.
Key Conversions for Length:
โ€ข 1 km = 1,000 m (multiply by 1,000 to convert km to m)
โ€ข 1 m = 100 cm (multiply by 100 to convert m to cm)
โ€ข 1 km = 1,00,000 cm

Converting from larger to smaller unit: MULTIPLY.
Converting from smaller to larger unit: DIVIDE.
Memory trick: King Henry Died By Drinking Chocolate Milk โ€” Kilo, Hecto, Deca, Base, Deci, Centi, Milli.

Worked example

Problem: Convert 5 km to meters.

  1. 1 km = 1,000 m.
  2. 5 km = 5 x 1,000 = 5,000 m.

Answer: 5 km = 5 x 1,000 = 5,000 m.

Weight and Capacity Conversions (kg, g, L, mL)

Weight (Mass):
1 kilogram (kg) = 1,000 grams (g)
Capacity:
1 litre (L) = 1,000 millilitres (mL)
Both use the same conversion factor: x 1,000 for the larger-to-smaller direction.
In Indian context: a bag of sugar = 1 kg = 1,000 g. A large water bottle = 1 L = 1,000 mL.

Worked example

Problem: Convert 8 kg to grams.

  1. 1 kg = 1,000 g.
  2. 8 kg = 8 x 1,000 = 8,000 g.

Answer: 8 kg = 8 x 1,000 = 8,000 g.

Time Conversions

Time conversions do NOT follow powers of 10 โ€” so we must memorize these relationships:
โ€ข 1 hour = 60 minutes
โ€ข 1 minute = 60 seconds
โ€ข 1 day = 24 hours
โ€ข 1 week = 7 days

To convert hours to minutes: multiply by 60.
To convert minutes to hours: divide by 60.
For elapsed time (how long something took): convert start and end to the same unit, then subtract.

Worked example

Problem: Convert 3 hours to minutes.

  1. 1 hour = 60 minutes.
  2. 3 hours = 3 x 60 = 180 minutes.

Answer: 3 hours = 3 x 60 = 180 minutes.

Mixed Measurement Word Problems

Many real-life problems combine different units or require multiple steps. Always:
โ€ข Step 1: Identify the units given and the unit needed
โ€ข Step 2: Convert all measurements to the same unit
โ€ข Step 3: Perform the required calculation
โ€ข Step 4: Express answer in appropriate unit

Common mistakes to avoid: forgetting to convert before adding, mixing up kg and g in the same calculation.

Worked example

Problem: Riya ran 2.5 km in the morning and 1,750 m in the evening. Total distance?

  1. Convert km to m: 2.5 km = 2,500 m.
  2. Total = 2,500 + 1,750 = 4,250 m = 4.25 km.

Answer: Total = 2,500 + 1,750 = 4,250 m = 4.25 km.