Solve measures problems using knowledge of multiplying decimal fractions | Maths

Starter quiz

Match the equivalent units of measure.
- 100 cm
  
  ⇔
  
  1 m ✓
- 1 cm
  
  ⇔
  
  10 mm ✓
- 1 km
  
  ⇔
  
  1,000 m ✓
- 1 l
  
  ⇔
  
  1,000 ml ✓
- 1 kg
  
  ⇔
  
  1,000 g ✓
Match the equation to the missing factor.
- 3 × ___ = 18
  
  ⇔
  
  6 ✓
- 4 × ___ = 20
  
  ⇔
  
  5 ✓
- ___ × 5 = 40
  
  ⇔
  
  8 ✓
- ___ × 2 = 14
  
  ⇔
  
  7 ✓
- 7 × __ = 63
  
  ⇔
  
  9 ✓
If 6 × 9 = 54, what does 6 × 0.9 equal?
- 540
- 54
- 5.4 ✓
- 0.54
- 0.054
Which of the following are multiples of eight?
- 32 ✓
- 400 ✓
- 26
- 280
- 56 ✓
Match the equation to its answer.
- 4 × 0.9 =
  
  ⇔
  
  3.6 ✓
- 8 × 0.3 =
  
  ⇔
  
  2.4 ✓
- 0.8 × 2 =
  
  ⇔
  
  1.6 ✓
- 0.9 × 0 =
  
  ⇔
  
  0 ✓
- 0.9 × 1 =
  
  ⇔
  
  0.9 ✓
An Oak tree is 0.04 km tall. A pine tree is twice this height. How tall is the pine tree? ______ km
- '0.08' ✓

If 1 cm = 10 mm and 0.1 cm = 1 mm. Convert 0.6 cm to mm. 0.6 cm = ______ mm
- '6' ✓
Match the equation to the correct answer
- £0.50 × 9 =
  
  ⇔
  
  450 p ✓
- £0.20 × 8 =
  
  ⇔
  
  160 p ✓
- £0.60 × 8 =
  
  ⇔
  
  480 p ✓
- £0.10 × 9 =
  
  ⇔
  
  90 p ✓
- £0.80 × 9 =
  
  ⇔
  
  720 p ✓
- £0.80 × 10 =
  
  ⇔
  
  800 p ✓
Sofia made a tower out of blocks that are 0.6 cm tall. What could the height of the tower be?
- 0.6 cm ✓
- 0.3 cm
- 3 cm ✓
- 1.4 cm
- 1.8 cm ✓
If Sofia builds the tower out of three blocks that are each 0.6 cm tall. How tall is the tower in mm? ______ mm
- '180' ✓
Lucas saves £0.40 a week. How much does he save in six weeks? Give your answer in pence. ______ p
- '240' ✓
Lucas has £0.20 Sofia has six times as much. How much more money does Sofia have than Lucas? Give your answer in pence. ______ pence
- '100' ✓

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Using knowledge of multiplying decimal numbers with whole numbers can help us solve measures problems.
__ times __ ones is equal to __ ones, so __ times __ tenths/hundredths is equal to __ tenths/hundredths.’ supports us.
Unitising of known facts can be used to support calculating with decimal fractions.
When we multiply by ten, the digits move one place value place to the left.

Children may get confused when converting between units of measure and be unsure when they need to multiply or divide.

___ are smaller than ___, so there must be more of them in the same measure so we need to multiply (and vice versa).

Convert - When we convert, we change a value or expression from one form to another.