Thousandths as decimals

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, .

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

Fractions and Decimals

These cards show and their equivalent decimals.
One is ten times the size of one tenth.

One tenth is ten times the size of one hundredth.

One hundredth is ten times the size of one thousandth.

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.

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?