1. Number and place value

Lesson

Can you partition numbers up to the thousands (4 digits)?

We have written a number in the number expander.

a

What is the value of the tens?

Worked Solution

b

What is the value of the hundreds?

Worked Solution

Idea summary

Numbers can be described using any place value such as thousands, hundreds, tens and units.

Let's see how to break up a 5 digit number, and then put it back together. We'll start with a 4 digit number to warm up.

Enter a five digit number into the applet and drag the number tiles around to see what amount each digit represents.

Any five digit number can be expanded by their ten thousands, thousands, hundreds, tens, and units value.

Fill in the number expander for 60\,908.

a

60\,908 | = | ⬚ | \text{ten thousands} | ⬚ | \text{thousands} | ⬚ | \text{hundreds} | 0 | \text{tens} | 8 | \text{units} |
---|

Worked Solution

b

Write 60\,908 as a number sentence.

⬚+⬚+⬚

Worked Solution

Write the following as a single number: 10\,000+7000+90.

Worked Solution

Idea summary

Except for the far left digit of our number, every place must have a number in it. If we don't have any of a place, we must put a zero in that place. The number twenty eight thousand and forty nine has no hundreds, so we would write it like this 28\,049.

applies place value to order, read and represent numbers of up to five digits

uses mental and written strategies for addition and subtraction involving two-, three-, four and five-digit numbers