Measurement Conversions
Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts
What a learner can do afterwards
- Solve: 'A recipe uses 0.75 kg of flour. How many grams are needed for 3 batches?'
- Compare 2.5 litres and 2,450 ml by converting to the same unit
- Solve a multi-step problem involving time, distance, and unit conversion
1 · Read
A kilogram and a gram both measure weight. A litre and a millilitre both measure liquid. To solve real problems, you often need to swap between the two units.
Remember these two facts: 1 kilogram equals 1000 grams, and 1 litre equals 1000 millilitres. To change kilograms into grams, or litres into millilitres, multiply by 1000. That moves the decimal point three places to the right.
A recipe uses 0.6 kg of flour for one batch. First convert to grams: 0.6 kg × 1000 = 600 g. For 4 batches, multiply by 4: 600 g × 4 = 2400 g.
Before you compare or add measurements, put them in the same unit first. The number alone can trick you: 3150 looks bigger than 3.2, but once you convert, 3.2 litres turns out to be more.
Multiply by 1000 to turn kilograms into grams or litres into millilitres, and always convert to the same unit before comparing or adding.
Practice items adapted from WeBWorK Open Problem Library problems by Carl Yao (PCC); John Travis (Mississippi College) (CC BY-NC-SA 3.0). The rewritten reading was written for this dataset.
2 · Watch
Take it off screen
Where it sits
Where this leads
16 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.