 What you need to know

Things to remember:

• When looking at place value, it is easiest to start with the units and work up towards the digit you want.

Let’s start with a relatively small number. What is the value of the 8 in 2,387?

Start by looking at the units and going towards the left until you get to the 8.

$$Units\rightarrow 7$$

$$Tens\rightarrow 8$$

Here we can see that the 8 represent the tens. So, if we have 8 tens, how much is that? $8\times10=80$. So, our 8 represents 80.

How about bigger numbers? Well, we do it in the same way!

What is the value of the 7 in 237,586?

Start with the units and go left.

$$Units\rightarrow 6$$

$$Tens\rightarrow 8$$

$$Hundreds\rightarrow 5$$

$$Thousands\rightarrow 7$$

Here we can see that the 7 represent the thousands. So, if we have 7 thousands, how much is that? $7\times1000=7000$. So, our 7 represents 7000.

Example Questions

Start with the units and go left.

$$Units\rightarrow 1$$

$$Tens\rightarrow 4$$

$$Hundreds\rightarrow 3$$

$$Thousands\rightarrow 6$$

$$Ten\hspace{1em}Thousands\rightarrow 5$$

$$Hundred\hspace{1em}Thousands\rightarrow 2$$

Here we can see that the 2 represent the hundreds of thousands. So, if we have 2 hundred thousands, how much is that? $2\times100,000=200,000$. So, our 2 represents 200,000.

Start with the units and go left.

$$Units\rightarrow 9$$

$$Tens\rightarrow 8$$

$$Hundreds\rightarrow 2$$

$$Thousands\rightarrow 1$$

$$Ten\hspace{1em}Thousands\rightarrow 6$$

Here we can see that the 6 represent the tens of thousands. So, if we have 6 ten thousands, how much is that? $6\times10,000=60,000$. So, our 6 represents 60,000