Lesson

We have used place value to help us order whole numbers before. Let's try a practice problem to help us remember.

Order these numbers from largest to smallest.

a

73,\ 33,\ 37

Worked Solution

b

671,\ 167,\ 617

Worked Solution

Idea summary

We can use a place value table to compare whole numbers.

This video looks at ways to compare decimals with both units and tenths.

Choose the smaller decimal

A

0.6

B

0.4

Worked Solution

Idea summary

We can use a place value table to compare decimals with tenths.

In this video we will work through some examples, using a couple of different ways to order the list of numbers. Importantly, remember that it is the place value of the numbers we are comparing.

Which of these sets are arranged from smallest to largest?

A

0.92,\ 0.47,\ 0.35

B

0.35,\ 0.47,\ 0.92

C

0.47,\ 0.35, 0.92

Worked Solution

Idea summary

We can use a place value table to compare decimals with hundredths.

Sometimes it can be useful when we need to compare a mixture of numbers with tenths and hundredths to renaming the tenths to hundredths. We see an example of this in the next video.

Arrange the following decimals from smallest to largest: 0.7,\ 0.09,\ 0.61

Worked Solution

Idea summary

When our numbers have units and tenths, we need to always compare the place value furthest to the left because it has the largest place value. We cannot only look at how long each number is.

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation