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.
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.
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).
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