Lesson

In the previous lesson we learned about thousandths and how to convert between decimal and fraction forms . Let's try an example.

Write the fraction \dfrac{81}{1000} as a decimal.

Worked Solution

Idea summary

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

This video looks at converting decimals smaller than thousandths between fraction and decimal forms.

Given the number 36\,917 hundred thousandths, write this as a:

a

Fraction

Worked Solution

b

Decimal

Worked Solution

Idea summary

1 hundred thousandth can be written as \dfrac{1}{100\,000}=0.000\,01

This video shows us how to read and write numbers that are smaller than thousandths.

Choose the word form of the following numeral: 0.068\,81.

A

six thousand, eight hundred and eighty one tens of thousandths

B

six thousand, eight hundred and eighty one hundreds of thousandths

C

six thousand, nine hundred and eighty one hundreds of thousandths

Worked Solution

Idea summary

The pattern in the naming of the place value column for whole numbers has the same pattern when we go the other way for decimals. Instead of tens, hundreds, thousands, ten thousands; we have tenths, hundredths, thousandths and ten thousandths.

We can use a place value table to write a decimal in words.