Decimal place value
Year 5 Spring 1
Use decimal notation for tenths and hundredths; understand what each digit represents in numbers with one or two decimal places
Previous learning
Core for Year 5
Extension
Use and read these words:
Use, read and begin to write these words:
Use, read and write these words:
one, ten, hundred, thousand, … tenth, hundredth, …
whole number, decimal, decimal point, decimal place, …
one, ten, hundred, thousand, … tenth, hundredth, …
whole number, decimal, decimal point, decimal place, …
one, ten, hundred, thousand, … tenth, hundredth,
thousandth, …
whole number, decimal, decimal point, decimal place, …
Use decimal notation in the context of money.
Use decimal notation for tenths and hundredths.
Use decimal notation for tenths, hundredths, thousandths.
Recognise that the point separating the pounds from the
pence is equivalent to a decimal point.
Read and write decimals with up to two places, recognising
that the decimal point separates the whole number part from
the fraction.
Read and write decimals with up to three places.
Respond to questions such as:
• Record the total of some coins and notes, e.g.
a £10 note, a £2 coin, a 50p coin and a 5p coin;
a £20 note, £5 note, 20p coin and 2p coin.
• Write all the possible amounts you can make with a £10
note, a £2 coin, a 50p coin and a 5p coin.
• Which is less: £4.50 or £4.05?
• Write in order, largest/smallest first: 99p, £9, 90p, £1.99.
Know that the whole number part is read as a whole number
and that digits after the decimal point are read digit by digit,
e.g. 23.45 is read as ‘twenty-three point four five’ not ‘twentythree point forty-five’.
Understand what each digit represents in numbers with one
or two decimal places, e.g.
Understand what each digit represents in numbers with up to
three decimal places, e.g.
• The first decimal place is tenths, and one tenth is 0.1.
• The first decimal place is tenths, and one tenth is 0.1.
• The second decimal place is hundredths,
and one hundredth is 0.01.
• The second decimal place is hundredths,
and one hundredth is 0.01.
• The third decimal place is thousandths,
and one hundredth is 0.001.
• Round to the nearest pound: £4.58, £19.27
Use decimal notation in the context of measurement.
Respond to questions such as:
Recognise that the decimal point separates the whole
number of units from part of a unit.
• In the number 5.375, what does the digit 7 represent?
• Write 125 cm in metres (1.25 m).
A
Respond to questions such as:
• Write 1.39 m in centimetres (139 cm)
• Which is lighter: 3.5 kg or 5.5 kg? 3.72 kg or 3.27 kg?
• Write in order, largest/smallest first:
1.2 m
1.21 m
2.1 m
2.25 m
1.5 m
1.25 m
2.5 m
1.52 m
• What does the digit 6 in 8.76 represent? And the 7?
What is the value of the 4 in the number 7.45? The 5?
• Write as a decimal: four tenths; three and one tenth.
• Using a calculator, in one step (operation), change:
7.82 to 7.86… 1.35 to 1.75…
7
1000
B
7
100
7
10
D 7
• Write a number in the box to make this correct.
6.45 = 6 + 0.4 + F
• Write the total as a decimal.
4+
6
2
7
+
+
=
10 100 1000
• Write the next three numbers in these sequences:
1.2, 1.4, 1.6, …
© 1 | Year 5 | Spring TS1 | Decimal place value
C
1.92, 1.94, 1.96, …
A few examples are adapted from the Framework for teaching mathematics from Reception to Year 6, 1999
Previous learning
Core for Year 5
Extension
Begin to understand how amounts of money are represented
in a calculator display.
Understand how amounts of money are represented in a
calculator display.
Understand how measurements are represented in a
calculator display.
Begin to appreciate that a number like 3.6 in a calculator
display means £3.60 in the context of money, and that 50p is
entered as 0.5 since it is half of £1.
Appreciate that a number like 3.6 in a calculator display
means £3.60 in the context of money, and that 50p is entered
as 0.5 since it is half of £1.
Appreciate that a number like 4.2 in a calculator display could
means 4.2 m in the context of length, and that 20 cm is
entered as 0.2 since it is two tenths of 1 m.
In the context of word problems, work out calculations
involving mixed units, writing answers in decimal form, e.g.
Begin to convert one unit of measurement to another.
Begin to convert between measurements.
Recognise that, say,
• Tina spent £3.86 on a book and 46p on a comic.
How much did she spend altogether?
• John cut 65 cm off 4 m of rope.
How many metres of rope are left?
30
100
is equivalent to
3
10
so that 30 cm is
Recognise that, say,
300
1000
is equivalent to
3
10
so that 300 g
written as 0.3 m (but that with money 30p is £0.30).
is written as 0.3 kg.
• Write 730 cm in metres (7.3m).
• Write 3.6 kg in grams.
• Write 1.3 m in centimetres (130 cm)
• Write 2400 ml in litres.
Understand that 3.5 kg is equivalent to 3500 g and that
2.5 litres is equivalent to 2500 ml.
Begin to convert halves, quarters, tenths, hundredths to a
larger unit. For example, write:
• 750 grams in kilograms (0.75 kilograms);
• 300 millilitres in litres (0.3 litres);
• 3 centimetres in metres (0.03 metres).
© 2 | Year 5 | Spring TS1 | Decimal place value
A few examples are adapted from the Framework for teaching mathematics from Reception to Year 6, 1999