Place value in two-digit numbers
When you are solving an addition calculation with a two-digit number, you need to think about tens and ones.
A place value chart can help you to see the value of each digit in a number.
For example, here is the number 23 represented in a place value chart with counters.

You can see that the number 23 is made of 2 tens and 3 ones.
Activity: Adding two-digit numbers
Complete this interactive to learn more about adding with two-digit numbers and then put your knowledge to the test with this quiz.
Adding with two-digit numbers
To add two-digit numbers, you need to think about place value.
You start by adding up how many ones you have. If you have more than 10 ones, you can put a group of ten into the tens column.
You then add up how many tens you have.
By adding the tens and the ones together, you can find out how many you have altogether.
Let’s use these pencils and a place value chart to help us find the answer to 17 + 8.

Image caption, The number 17 is made of 1 group of ten and 7 ones. You can show this by putting a pack of 10 pencils in the tens column and 7 individual pencils in the ones column. Then the calculation is asking you to add 8 more pencils.
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Example 1

Here are 23 pencils and 15 more pencils
How many do you have altogether?
✓ You have 8 pencils in the ones column.
You have 3 groups of 10 pencils in the tens column, which is 30.
Altogether, you have 30 + 8 pencils which equals 38 pencils.
23 + 15 = 38

Example 2

Here are 48 pencils and 5 more pencils.
Can you find the total number of pencils?
✓ You have 4 groups of ten to start with.
So use the other pencils to make another group of 10. This leaves 3 pencils in the ones column.
Now you have 5 groups of 10 pencils, which is 50.
Altogether you have 50 + 3 pencils which equals 53 pencils.
48 + 5 = 53

Example 3

Here are 48 pencils and 25 more pencils.
How do you find out how many pencils there are altogether?
✓ You can make another ten with the loose pencils.
Now you have 7 groups of 10 pencils which is 70.
There are 3 pencils in the ones.
Altogether you have 70 + 3 pencils which equals 73 pencils.
48 + 25 = 73

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More on Adding and subtracting
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