Decimals

Lesson

Anytime we are comparing numbers, the important thing we need to consider is the value of the numbers we are comparing. Just like $6$6 hundreds are worth more than $6$6 tens, we need to consider the value of the digits in a decimal. In Video 1, you'll see how we can visualise the value of our numbers, helping to identify bigger or smaller numbers.

When we compare decimals, it also helps to remember that some numbers may look different, but are in fact equivalent. While $0.3$0.3 and $0.30$0.30 may look different, they in fact have the same value. Looking at equivalent fractions can help, since fractions are another way to express parts of a whole, just like decimals.

In Video 2, let's see how we can compare decimals, while keeping in mind that we may be able to express a number more than one way, just like we did above, with 3 tenths and 30 hundredths.

Finally, in Video 3, we make a statement true, by thinking about whether one side is equal to, greater than, or less than the other side. We also look at how money can help us with decimals!

Choose the smaller decimal

$8.9$8.9

A$8.4$8.4

B$8.9$8.9

A$8.4$8.4

B

Select either $>$> or $<$< to complete the following:

$1.9$1.9 | ___ | $1.96$1.96 |
---|

$<$<

A$>$>

B$<$<

A$>$>

B

Which symbol completes this statement?

$0.3$0.3$\editable{}$$0.27$0.27

$<$<

A$>$>

B$<$<

A$>$>

B

Know the relative size and place value structure of positive and negative integers and decimals to three places.