Use long division with decimal remainders
I can use long division and give the remainder as a decimal.
Use long division with decimal remainders
I can use long division and give the remainder as a decimal.
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.
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.
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.
Equipment
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Use the multiplication facts to derive 31 × 16 =
Q2.Match the fractions with an equivalent fraction.
$$ {1} \over{2}$$ -
$$ {32} \over{64}$$
$$ {1} \over{5}$$ -
$$ {13} \over{65}$$
$$ {7} \over{8}$$ -
$$ {49} \over{56}$$
Q3.Match the fractions with an equivalent decimal.
$$ {1} \over{2}$$ -
0.5
$$ {1} \over{5}$$ -
0.2
$$ {3} \over{4}$$ -
0.75
Q4.Match the division equations to their simplified fraction remainders.
282 ÷ 4 = 70 -
$$ {1} \over{2}$$
646 ÷ 8 = 80 -
$$ {3} \over{4}$$
543 ÷ 9 = 60 -
$$ {1} \over{3}$$
Q5.Which of these correctly show the result with a simplified fraction remainder?
Q6.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?
Assessment exit quiz
6 Questions
Q1.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 $$ {1} \over{2}$$
As a decimal fraction -
282 ÷ 4 = 70.5
Q2.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?
Q3.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?
Q4.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?
Q5.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.
Q6.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.