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
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
6 Questions
$$ {1} \over{2}$$ -
$$ {32} \over{64}$$
$$ {1} \over{5}$$ -
$$ {13} \over{65}$$
$$ {7} \over{8}$$ -
$$ {49} \over{56}$$
$$ {1} \over{2}$$ -
0.5
$$ {1} \over{5}$$ -
0.2
$$ {3} \over{4}$$ -
0.75
282 ÷ 4 = 70 -
$$ {1} \over{2}$$
646 ÷ 8 = 80 -
$$ {3} \over{4}$$
543 ÷ 9 = 60 -
$$ {1} \over{3}$$
Exit quiz
6 Questions
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