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.