Starter quiz
- Which of these calculations is equivalent to 0.06 × 10 000?
- 6 × (10 × 10 × 10 × 10)
- (0.06 ÷ 10 ÷ 10) × (10 × 10 × 10 × 10)
- (6 × 10 × 10) × (10 × 10 × 10 × 10)
- (6 ÷ 10) × (10 × 10 × 10 × 10)
- (6 ÷ 10 ÷ 10) × (10 × 10 × 10 × 10) ✓
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- What is 0.49 × 1000?
- 0.49000
- 49.000
- 490 ✓
- 49000
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- Which of these calculations is equivalent to 0.013 × 3000?
- (13 ÷ 10 ÷ 10) × (3 × 10 × 10 × 10)
- (13 ÷ 10 ÷ 10 ÷ 10) × (3 × 10 × 10 × 10) ✓
- (13 ÷ 10 ÷ 10 ÷ 10 ÷ 10) × (3 × 10 × 10 × 10)
- (13 × 10 × 10 × 10) × (3 × 10 × 10 × 10)
- (13 ÷ 10 ÷ 10 ÷ 10) ÷ (3 × 10 × 10 × 10)
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- 0.021 × 400 000 = ______.
- '8400' ✓
Izzy spent £6 to buy 15 flowers. The value of in this ratio table is ______- '50' ✓
Aisha spent £4 on 20 bricks. Match each letter in the ratio table to its value.- ⇔5 ✓
- ⇔0.20 ✓
- ⇔50 ✓
- ⇔10 ✓
- ⇔885 ✓
Exit quiz
- Match each prefix to its definition.
- centi⇔✓
- kilo⇔✓
- milli⇔✓
- deci⇔✓
Use the ratio table to convert 2670 ml into litres. ______ litres.- '2.67' ✓
1 centigram equals grams. Match the letter in the ratio table to its value to convert 35 980 cg into grams.- ⇔✓
- ⇔35 980 ✓
- ⇔359.8 ✓
Use the ratio table to convert 0.0051 metres into millimetres.- 0.0051 mm
- 0.51 mm
- 5.1 mm ✓
- 51 mm
- 51000 mm
-
13 inches ≈ 33 cm. Use the ratio table to convert 40 inches into cm (rounded to the nearest cm). ______ cm- '102' ✓
- 8 km ≈ 5 miles. Convert 136 000 000 mm into miles. ______ miles
- '85 ' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Ratios are often used to describe converting between metric and imperial measurements.
- The ratio is either in the simplest form or in unitary form.
- 5 miles is roughly 8 kilometers, the approximation is to allow for easy mental calculations.
Common misconception
800 cm is further than 80 m because 800 is a larger number than 80.
Each unit of distance (e.g. cm, metre, km) describes a different-sized distance. 1 cm is 1/100 the size of a metre, meaning that 800 cm = 8 m is a shorter distance than 80 m.
Keywords
Metric unit - Metric units are based around the standard units of metre, gram and litre.
Centi- - Centi placed before a unit means 1/100
Milli- - Milli placed before a unit means 1/1000
Kilo - Kilo placed before a unit means 1000 times.
Imperial unit - Imperial is a system of units for measuring, which was created in the early 1800s during the British Empire.
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