# 5.01 Thousandths

Lesson

## Ideas

Let's practice  writing decimals from their written representations.

### Examples

#### Example 1

Write the number "sixty six hundredths" as a decimal.

Worked Solution
Create a strategy

Use a place value table.

Apply the idea

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.

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.

### 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:

\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.

This video shows us how to read and write thousandths.

### Examples

#### Example 3

Write the number represented by 103 thousandths:

a

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}

b

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

103 \text{ thousandths} = 0.103

Idea summary

1 thousandth is written as 0.001.

### Outcomes

#### VCMNA189

Recognise that the place value system can be extended beyond hundredths