Starter quiz
- Use the multiplication facts to derive 31 × 16 = ______
- '496' ✓
- Match the fractions with an equivalent fraction.
- ⇔✓
- ⇔✓
- ⇔✓
- Match the fractions with an equivalent decimal.
- ⇔0.5 ✓
- ⇔0.2 ✓
- ⇔0.75 ✓
- Match the division equations to their simplified fraction remainders.
- 282 ÷ 4 = 70⇔✓
- 646 ÷ 8 = 80⇔✓
- 543 ÷ 9 = 60⇔✓
- Which of these correctly show the result with a simplified fraction remainder?
- 482 ÷ 16 = 31
- 482 ÷ 16 = 30 ✓
- 482 ÷ 16 = 32
-
- In June, one giraffe at the zoo ate 1,370kg of acacia leaves. How many kg did the giraffe eat each day? Which of these correctly show the result with a simplified fraction remainder?
- 1,370 ÷ 30 = 45 ✓
- 1,370 ÷ 30 = 45
- 1,370 ÷ 30 = 45
-
Exit quiz
- Match the different ways to represent a division remainder with their example.
- As a remainder⇔282 ÷ 4 = 70 r2 ✓
- As a simplified fraction⇔282 ÷ 4 = 70 ✓
- As a decimal fraction⇔282 ÷ 4 = 70.5 ✓
- Select the answer which would be best to use for the following question: 283 flamingos need to be shared between 4 different zoos, how many flamingos would there be at each zoo?
- 283 ÷ 4 = 70 r3 Remainder ✓
- 283 ÷ 4 = 70.75 Decimal Fraction
- 283 ÷ 4 = 70 Simplified Fraction
-
- Select the answer which would be best to use for the following question: It costs £283 per week to feed 4 sea lions at the zoo. How much does it cost to feed one sea lion each week?
- 283 ÷ 4 = 70 r3 Remainder
- 283 ÷ 4 = 70.75 Decimal Fraction ✓
- 283 ÷ 4 = 70 Simplified Fraction
-
- Select the answer which would be best to use: Some bears have cooked potatoes as part of their diet. 283 potatoes are shared equally between 4 bears, how many potatoes does each each bear have?
- 283 ÷ 4 = 70 r3 Remainder
- 283 ÷ 4 = 70.75 Decimal Fraction
- 283 ÷ 4 = 70 Simplified Fraction ✓
-
- Buddy’s dog food costs £561 per year. Buddy eats one bag of food each month. How much does one of Buddy’s food bags cost? Give your answer as a decimal in pounds. £______ per bag.
- '46.75' ✓
- Pratchett the tortoise walks 3.675km in June. How far did he walk each day? Give your answer as a decimal, in metres. ______ m per day.
- '122.5' ✓
Worksheet
Loading worksheet ...
Presentation
Loading presentation ...
Lesson Details
Key learning points
- Fraction and decimal equivalence can be used to convert fraction remainders to decimals.
- 1 one is equivalent to 10 tenths so a 1 can be exchanged for 10 tenths in the tenths column.
- Continue to regroup until the number of the decimal fraction is a multiple of the divisor.
Common misconception
Pupils do not convert fractions to decimals accurately.
Take time to remind pupils about key equivalences such as one-half is 0.5 and one-fifth is 0.2 Pupils can use these to check the reasonableness of their answers.
Keywords
Remainder - A remainder is an amount left after a division.
Decimal - A decimal number has a decimal point followed by digits that show the fractional part.
Equivalent - Equivalent refers to when two or more things have the same value.
+