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Place Value
Overview
Place value is the value of each digit in a number.
For two-digit numbers, there is the TENS place and the ONES place.
Let’s take a closer look at the place value for the number 12.
The 1 is in the TENS place, and the 2 is in the ONES place.
That’s because the number 12 is made up of 1 ten and 2 ones.
If you had 12 cups, you could make 1 stack of ten with 2 cups leftover.
Let’s take a look at the number 23.
The number 23 is made up of 2 Tens and 3 Ones.
You can also write this as 2 x 10 + 3 x 1
What happens if we have a number more than 99?
We discussed the ones place and tens place. If we take a look at a three-digit number like 123, we would need to add another column called the hundreds column.
The number 123 is made up of 1 Hundred, 2 Tens, and 3 Ones.
You can also write this as 1 x 100 + 2 x 10 + 3 x 1 which equals 132.
Take a look at one more example before you try the practice questions below.
How would you write the number 341 in a place value chart?
The number 341 is made up of 3 Hundreds, 4 Tens, and 1 Ones.
You can also write this as 3 x 100 + 4 x 10 + 1 x 1 which equals 341.
In higher grade levels, you will work with larger digits. Here’s a place value table to get a sneak peak.
Practice Question 1
Which digit is in the ONES place in the number below?
15
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Practice Question 2
Which digit is in the TENS place in the number below?
28
Practice Question 3
Take a look at the pieces of popcorn below. How many groups of TEN are there?
Practice Question 4
Now look at the number of chocolate candies. How many ONES are there?
Practice Question 5
Check out the drinking straws below. They are grouped in TENS with some loose ONES. Using your skills in place value, how many straws are there in total?
TIP: Since you know all about the place value of two-digit numbers, now you can count a large group of small objects quickly. If you place the objects in groups of TENS and ONES, you’ll know the total right away! For example, if you broke open your piggy bank and wanted to count all of the pennies, you could place them in stacks of ten and then count the loose ones. Can you think of another time you would need to count a lot of small things quickly and easily?
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