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Thousandths as decimals | Year 6 Mathematics PDF Download

Recognise and use thousandths

  • A place value chart illustrates numbers extending beyond the decimal point.
  • After the decimal point, we have tenths, hundredths, and thousandths.
  • Thousandths can be expressed both as a fraction and as a decimal.

Place value charts

In a place value chart, the structure reveals the connection between 1, Thousandths as decimals | Year 6 Mathematics.

  • 10 tenths = 1 whole
  • 10 hundredths = 1 tenth
  • 10 thousandths = 1 hundredth

Thousandths as decimals | Year 6 Mathematics

Fractions and Decimals

Thousandths as decimals | Year 6 Mathematics

These cards show Thousandths as decimals | Year 6 Mathematicsand their equivalent decimals.
One is ten times the size of one tenth.
Thousandths as decimals | Year 6 Mathematics
One tenth is ten times the size of one hundredth.
Thousandths as decimals | Year 6 Mathematics
One hundredth is ten times the size of one thousandth.
Thousandths as decimals | Year 6 Mathematics

Solved Examples

Example 1: We can also use a number line to plot thousandths.
Let's show 0.758 on a number line.
There is 1 hundredth between 0.75 and 0.76 and the 1 hundredth is divided into 10 increments.
1 hundredth = 10 thousandths, so these increments represent the thousandths.
Thousandths as decimals | Year 6 MathematicsThousandths as decimals | Year 6 Mathematics

0.758 is eight thousandths more than 0.75.
0.75 + 0.008 = 0.758
0.758 is two thousandths less than 0.76.
0.76 - 0.002 = 0.758

Example 2: Let’s look at some different examples of 0, 2, 7 and 9, positioned in a place value chart.
Can you see the relationship between the number and the ones, tenths, hundredths and thousandths that is made up of?

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