 There are 10 millimetres in a centimetre.

# Decimal Numbers (Year 5)

In KS2 Maths children will come to understand decimal numbers. In Year Five children should know the place value of figures in decimal numbers to two places - tenths and hundredths - and also be capable of doing some adding and subtracting with decimals. They should also be confident when rounding decimal numbers up or down, and be familiar with sums involving decimal measurements such as metres/cm or £/pence.

Decimal numbers are those that are smaller than a one and are written after a decimal point. Decimal numbers are an alternative way of writing fractions. A quarter of a pizza written as a fraction would be 14, but written as a decimal would be 0.25. 0.25 is a decimal with two places - the 2 represents 2 tenths and the 5 is 5 hundredths.

Can you tell the difference between tenths and hundredths? Can you round a number to two decimal places? See how well you understand decimal numbers by playing this quiz.

1.
What is 8.5cm in mm?
8.5mm
85mm
850mm
8,500mm
There are 10mm in 1cm therefore we multiply by 10 to find the answer
2.
What is the figure 6 worth in 0.26?
6 hundredths
6 ones
6 tenths
6 tens
Remember - tenths, hundredths, thousandths
3.
Which is a decimal fraction halfway between 2.1 and 2.2?
2.12
2.13
2.14
2.15
There are ten hundredths in a tenth so half of one tenth is 5 hundredths
4.
How is 3.57 changed to 3.6?
Subtract 0.3
Subtract 0.03
Just like 357 + 3 = 360
3.57 + 0.03 = 3.6
5.
How is 0.07 changed to 0.02?
Subtract 0.5
Subtract 0.05
Just like 7 - 5 = 2
0.07 - 0.05 = 0.02
6.
Which is the decimal fraction equivalent to seven and forty two hundredths?
7.042
7.42
0.742
74.2
Forty two hundredths is equivalent to four tenths and two hundredths
7.
What is the next number in the following sequence? 0.24, 0.26, 0.28, 0.3
0.32
0.35
1.3
1.32
the numbers are going up by 0.02, or 2100 every time
8.
Which is the smallest of these numbers?
0.12
1.02
0.02
0.01
1100 is less than 2100, 12100 and 102100
9.
What does the digit 2 represent in 5.12?
2 tens
2 tenths
2 ones
2 hundredths
In decimals the first column after the ones is tenths and the second column is hundredths
10.
Which is the largest?
0.35
0.05
0.03
0.3
35100 is larger than 30100, 5100 or 3100

Author:  Amanda Swift

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