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

Question 1: What is the value of the 2 in 256,341?

 

Answer

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.

 

Question 2: What is the value of the 6 in 361,289?

 

Answer

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