Lesson

We have previously worked with decimals with digits in the thousandths place . Let's review.

Write the following in numerals:

Five thousand, six hundred and eighty one tens of thousandths

Worked Solution

Idea summary

A place value table is helpful in writing a numeral in words as a decimal.

This video demonstrates numbers in the place value columns beyond thousandths, such as tens of thousandths and hundreds of thousandths, and looks at how to compare numbers with this many decimal places.

Write the greater than (\gt) or less than (\lt) symbol, in the box to make this number sentence true:0.6649 \, ⬚ \, 0.6113

Worked Solution

Idea summary

\gt means 'greater than' and \lt means 'less than'.

When using a place value table to compare decimals we can start at the place value column furthest to the left and work to the right, comparing the values in each column to work out the bigger/smaller number.

This video looks at how to order 3 numbers that have at least 4 decimal places.

Order these numbers in ascending order: 0.4764, \, 0.2959, \, 0.5385.

Worked Solution

Idea summary

Ascending order means smallest to largest. Descending order means largest to smallest.

If our numbers are not all expressed as thousandths, starting from the left of our number is one way to compare them. We can rename our numbers so they are all expressed as thousandths, by using 0s as placeholders.

Sometimes, we may need to insert a symbol to make a statement true. This means we need to think about whether one side is less than (\lt), equal to (=), or greater than (\gt) the other side. If one number is expressed as a fraction, and the other a decimal, it can help to look at them both as either fractions or decimals. In this video, we look at how to make a statement true.

Choose the missing symbol to make this a true statement.0.69 \, ⬚ \, \dfrac{23}{100}

A

\lt

B

\gt

Worked Solution

Idea summary

If we are comparing a fraction and a decimal number, we should convert the fraction into decimals first, before we compare them in a place value table.