1. Number and place value

Lesson

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

We have written a number in the number expander below.

a

What is the value of the units?

Worked Solution

b

What is the value of the tens?

Worked Solution

c

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

Worked Solution

Idea summary

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

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

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

Worked Solution

Idea summary

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

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

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

b

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

Worked Solution

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

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