Divide decimal fractions by 1-digit numbers using written methods | Maths

Starter quiz

Match the equation to its answer.
- 6.4 × 10 =
  
  ⇔
  
  64 ✓
- 8.7 × 10 =
  
  ⇔
  
  87 ✓
- 0.45 × 100 =
  
  ⇔
  
  45 ✓
- 0.54 × 100 =
  
  ⇔
  
  54 ✓
- 2.39 × 100 =
  
  ⇔
  
  239 ✓
Match the equation to its answer.
- 230 ÷ 10 =
  
  ⇔
  
  23 ✓
- 203 ÷ 10 =
  
  ⇔
  
  20.3 ✓
- 203 ÷ 100 =
  
  ⇔
  
  2.03 ✓
- 2,003 ÷ 100 =
  
  ⇔
  
  20.03 ✓
- 2,030 ÷ 10 =
  
  ⇔
  
  203 ✓
Round 8.4 to the nearest whole number.
- '8' ✓
Calculate this using short division 51 ÷ 3 = ______
- '17' ✓
Calculate this using short division 552 ÷ 3 = ______
- '184' ✓
Lucas has £438 and Sofia has one-sixth times this amount. How much money does Sofia have? £______
- '73' ✓

Calculate 55.6 ÷ 4 = ______ Use scaling to convert 55.6 into a whole number first.
- '13.9' ✓
Which of these would be the most sensible estimate to check if this calculation is correct? 55.6 ÷ 4 = 13.9
- 55 ÷ 4
- 55.5 ÷ 4
- 56 ÷ 4 ✓
- 55.7 ÷ 4
- 50 ÷ 4
Calculate 76.5 ÷ 5 = ______
- '15.3' ✓
Calculate 5.16 ÷ 4 = ______
- '1.29' ✓
Lucas has 7.8 m string. He cuts this into three equal pieces. How long is each piece? ______ m
- '2.6' ✓
Sofia has £34.65 Lucas has one-fifth times this amount. How much does Lucas have? £______
- '6.93' ✓

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Use scaling to convert the decimal fraction to a whole number; after dividing, use scaling to adjust the answer.
Short division can be used to divide; the decimal point in the answer must be aligned with that in the decimal fraction.
Estimation should be used to sense-check answers.

The short division algorithm may not be correctly aligned.

Check that the decimal point aligns in the decimal fraction and the answer.

Estimation - When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.
Scaling - Scaling is when a given quantity is made ___ times the size. It can be used to adjust the size of a factor. In this lesson, scaling will involve making values 10 or 100 times the size.