Recognise and use thousandths
Place value chart shows numbers beyond the decimal point.
Beyond the decimal point we have tenths, hundredths and thousandths.
Thousandths can be represented as a fraction and as a decimal.
Place value charts
Look at the structure of a place value chart and the relationship between 1, \( \frac{1}{10} \) \( \frac{1}{100} \) and \( \frac{1}{1000} \).
10 tenths = 1 whole
10 hundredths = 1 tenth
10 thousandths = 1 hundredth
Fractions and decimals
These cards show 1 \( \frac{1}{10}\) \( \frac{1}{100}\) and \( \frac{1}{1000} \) and their equivalent decimals.
One is ten times the size of one tenth.
1= 10 x \( \frac{1}{10} \)
One tenth is ten times the size of one hundredth.
\( \frac{1}{10}\) = 10 x \( \frac{1}{100}\)or \( \frac{10}{100}\)
One hundredth is ten times the size of one thousandth.
\( \frac{1}{100}\) = 10 x \( \frac{1}{1000}\) or \( \frac{10}{1000}\)
Example 1
Let鈥檚 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?
Example 2
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
Activity
Put your place value knowledge to the test in this quiz.
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