Since there is 66 hundredths, we put the 6 in the hundredths column and the 6 before it in the column to the left. Then we can use 0 as a place holder.

Units	.	Tenths	Hundredths
0	.	6	6

Sixty six hundredths is equal to 0.66.

Idea summary

We can use a place value table to write decimals in words as a numeral.

Thousandths as decimals

This video looks at converting thousandths between fraction and decimal representations.

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Examples

Example 2

Write the following fraction as a decimal: \dfrac{2}{1000}.

Worked Solution

Create a strategy

Use a place value table to convert it to a decimal.

Apply the idea

The fraction is 2 thousandths. To put it in a place value table, put the 2 in the thousandths column and use zeros for place holders:

Units	.	Tenths	Hundredths	Thousandths
0	.	0	0	2

\dfrac{2}{1000}=0.002

Idea summary

To write a fraction out of 10, \, 100, or 1000 as a decimal, we can use a place value table.

Read and write thousandths

This video shows us how to read and write thousandths.

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Examples

Example 3

Write the number represented by 103 thousandths:

As a fraction.

Worked Solution

Create a strategy

Write the number as the numerator and 1000 as the denominator.

Apply the idea

103 thousandths is the same as 103 out of 1000. So 103 would be the numerator and 1000 would be the denominator. 103 \text{ thousandths} = \dfrac{103}{1000}

As a decimal.

Worked Solution

Create a strategy

Use a place value table to convert it to a decimal. The last digit should be in the "thousandths" column.

Apply the idea

Units	.	Tenths	Hundredths	Thousandths
0	.	1	0	3

103 \text{ thousandths} = 0.103

Idea summary

1 thousandth is written as 0.001.

Outcomes

AC9M5N01

interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

5.01 Thousandths

Ideas

Are you ready?

Examples

Example 1

Thousandths as decimals

Examples

Example 2

Read and write thousandths

Examples

Example 3

Outcomes

AC9M5N01

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