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Decimal Numbers (Year 6)

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In order to change 0.023 to 0.23, we multiply by 10.

Decimal Numbers (Year 6)

Decimals in KS2 Maths build on earlier years. Pupils explore comparing, ordering, and rounding decimals, linking them with fractions and using them in everyday problem-solving.

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Fascinating Fact:

Decimals help with measurements, so a height of 1.75 metres is easier to read than 175 centimetres.

In KS2 Maths, decimals are developed further to handle more complex calculations. Pupils practise converting between fractions and decimals, applying decimals to money, length, and weight problems.

  • Tenths: The first place value after the decimal point, showing one part out of ten.
  • Hundredths: The second place after the decimal point, equal to one part out of a hundred.
  • Conversion: Changing a number between forms, like turning 0.25 into 1/4.
What do pupils learn about decimals in Year 6?

In Year 6, pupils learn to compare, order, round, and calculate with decimals. They also link decimals to fractions and percentages in problem-solving.

How are decimals used in daily life?

Decimals are used in shopping prices, measuring distances, cooking ingredients, and reading times. They help show amounts more accurately than whole numbers alone.

How do decimals connect with percentages?

Decimals can be written as percentages by multiplying by 100. For example, 0.5 is the same as 50%, and 0.75 is equal to 75%.

1 .
Which is the smallest of these numbers?
0.001
0.1
0.01
0.011
1?1,000 is less than 11?1,000, 1?100 or 1?10
2 .
What is 1.23m + 63cm?
1.86m
74.23m
7.53m
186m
Convert the cm into metres and you will have 1.23 + 0.63 giving 1.86m
3 .
Which is the largest of these numbers?
0.3
0.003
0.033
0.03
3?10 is larger than 3?100, 33?1,000 or 3?1,000
4 .
Which is a decimal fraction halfway between 6.52 and 6.53?
6.55
6.521
6.525
6.531
There are 10 thousands in a hundredth so half of a hundredth is 5 thousandths
5 .
How is 0.7 changed to 0.007?
Multiply by 10
Divide by 100
Divide by 10
Multiply by 100
When we divide by 100 we move the digits two places to the right
6 .
What is the next number in the sequence 0.007, 0.008, 0.009?
0.001
0.1
0.01
1
The numbers are going up by 0.001, or 1?1,000 every time
7 .
What is the figure 8 worth in 2.089?
8 ones
8 hundredths
8 tenths
8 thousandths
2.089 is 2 ones, 0 tenths, 8 hundredths and 9 thousandths
8 .
What does the digit 1 represent in 0.251?
1 tenth
1 thousandth
1 one
1 hundredth
Remember - tenths, hundredths, thousandths
9 .
Which is the decimal fraction equivalent to nine and two thousandths?
9.002
9.2
9.02
0.092
Ones are on the left of the decimal point
10 .
How is 0.023 changed to 0.23?
Multiply by 10
Divide by 100
Divide by 10
Multiply by 100
When we multiply by 10 the digits move one place to the left
You can find more about this topic by visiting BBC Bitesize - Thousandths as decimals

Author:  Amanda Swift (Primary School Teacher & Educational Content Developer)

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