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1.12 Partition 5 digit numbers

Lesson

Are you ready?

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

Examples

Example 1

We have written a number in the number expander.

A number expander with 3 thousands, 9 hundreds, 8 tens, and 2 units.
a

What is the value of the tens?

Worked Solution
Create a strategy

Use the given number expander. Add 0 as a placeholder.

Apply the idea

We can see from the number expander that we have 8 tens which is equal to 80.

b

What is the value of the hundreds?

Worked Solution
Create a strategy

Use the given number expander. Add 0 as a placeholder.

Apply the idea

We can see from the number expander that we have 9 hundreds which is equal to 900.

Idea summary

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

Expanded notation of 5 digit numbers

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.

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Exploration

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

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

Examples

Example 2

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
Create a strategy

Put the given number in a place value table.

Apply the idea
Ten thousandsThousandsHundredsTensUnits
60908

So, the complete number expander is:

60\,908=6\text{ten thousands}0\text{thousands}9\text{hundreds}0\text{tens}8\text{units}
b

Write 60\,908 as a number sentence.

⬚+⬚+⬚

Worked Solution
Create a strategy

Use the number expander from part (a).

Apply the idea

6 ten thousands is 60\,000, 9 hundreds is 900, and 8 units is 8.

60\,908=60\,000+900+8

Example 3

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

Worked Solution
Create a strategy

Put each first digit in a place value table. For the values not given, use 0 as placeholder.

Apply the idea
Ten thousandsThousandsHundredsTensUnits
17090

The place value table shows how the values add together.

10\,000+7000+90 = 17\,090

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.

Outcomes

MA2-4NA

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

MA2-5NA

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

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