1.02 Modelling place value

When we count by ones, we use the digits 0,\,1,\,2,\,3,\,4,\,5,\,6,\,7,\,8 and 9.

We also use these digits to make bigger numbers, like 10,\,11,\,12, and 13.

Let's see how we can use icy pole sticks and place value blocks to work out how to write larger numbers.

Examples

Example 1

Think about how many hundreds and tens blocks fit into 110.

Worked Solution

Create a strategy

We can make the number 110 without using the tens block by finding how many ones make up a ten. We can also use a hundred block.

Apply the idea

The number 110 is made of 1 hundred and 1 ten. A ten block is made up of 10 ones.

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Let's see how each place value is tens times larger than the one to its right, using place value blocks for ones (units), tens, hundreds and thousands.

Examples

Example 2

What number is represented by these blocks?

Worked Solution

Create a strategy

Fill out a place value table to count the blocks.

Apply the idea

Each kind of block represents a different place value.

We can record how many of each type of block there is in a place value table:

Hundreds	Tens	Ones
\text{3}	\text{4}	\text{5}

So the number is 345

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