 # 1.11 Partition 4 digit numbers

Lesson

We looked at how to  break numbers in the hundreds up by place value  , and how to model them with blocks.

### Examples

#### Example 1

We have written a number in the number expander below.

a

What is the value of the units?

Worked Solution
Create a strategy

Use the given number expander.

Apply the idea

The value of units from the number expander is 2.

b

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 3 tens which is equal to the value of 30.

c

Now look at the number 67. What is the value of the tens?

Worked Solution
Create a strategy

Use a number expander to break the given number into tens and units.

Apply the idea

We can place 6 in tens and 7 in units.

We can see that we have 6 tens which is equal to the value of 60.

Idea summary

We can use a number expander to identify the value of a digit of a number.

## Partition and built of numbers to ten thousands

This lesson looks at how we can use place value to break up numbers up in different ways.

### Examples

#### Example 2

Express 2704 in expanded form. 2704=⬚ \, \text{ Thousands }⬚ \, \text{ Hundreds }⬚ \, \text{ Tens }⬚ \, \text{ Units}

Worked Solution
Create a strategy

Use a place value table.

Apply the idea

2704=2 \, \text{ Thousands }7 \, \text{ Hundreds }0 \, \text{ Tens }4 \, \text{ Units}

Idea summary

A place value table is useful to expand numbers in thousands.

## Number expanders for ten thousands

Let's look at how a number expander can help us understand the place value of a number in different ways.

### Examples

#### Example 3

We have written the number 6275 in a number expander.

Fill in the boxes to make the sentences correct.

a

We can break up this number into thousands, tens, and 5 units.

Worked Solution
Create a strategy

Since we can't use hundreds, break the hundreds into 10 tens and add the original tens value.

Apply the idea

Breaking 200 into tens will give 20 tens.

Adding the original tens value: 20+7=27

We can break up this number into 6 thousands, 27 tens, and 5 units.

b

We can break up 6275 into 6 thousands and units.

Worked Solution
Create a strategy

Break the hundreds and tens into units and add the original units value.

Apply the idea

Breaking 270 into units will form 200+70=270 units.

Adding the original units value gives: 270+5=275.

We can break up 6275 into 6 thousands and 275 units.

Idea summary

Every number can be made in different ways, and it doesn't change the value of the number. The number 3800 has the same value as:

• 3 thousands and 8 hundreds

• 38 hundreds

• 380 tens, or

• 3800 units

### Outcomes

#### MA2-4NA

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