# Using Place Value to Add

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CCSS.MATH.CONTENT.2.NBT.B.5

## Basics on the topicUsing Place Value to Add

What is place value addition? Place value addition is when you use the tool of place value to help while solving addition problems. The definition of place value is the value of each digit in a number. In this video, we explore using place value addition! Take a look below to learn more about place value chart addition.

When we talk about addition place value, we are discussing the value that each digit has depending on where it is in the number.

There are many different strategies to add, using a place value chart for addition is a great one!

When you use addition with place value chart, always start by representing the first addend using base ten blocks, then represent the second addend using base ten blocks.

Once you have represented the addends using base ten blocks, you can begin adding! There are three steps to follow in order to add using place value:

Step # What to do
3 Finally, add the tens and ones together one last time to find the sum

## Addition Using Place Value – Example

Let’s practice place value strategy addition with the example below.

Mr. Squeaks is adding the dandelions and tulips that he sees in the park! If there are thirty-five dandelions, and twenty-three tulips, how many flowers does he see in total? Remember, you can use place value to add!

• When using place value method addition, start by representing the addends using place value.  How many flower did Mr. Squeaks find in total? Mr. Squeaks found fifty-eight flowers in total!

## Addition Using Place Value – Summary

• Always start by representing the addends using base ten blocks

• Finally, add the tens and ones together to find the sum.

Continue learning about multi-digit addition with place value charts with the method of place value addition using our interactive exercises, worksheets and further activities! You’ll also find worksheets for two digit addition using place value.

## Using Place Value to Add exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Using Place Value to Add.
• ### How many birds did Mr. Squeaks and Imani see?

Hints

How many tens are there altogether? How many ones are there altogether?

What do we get if we add the tens and ones together?

Solution

Mr. Squeaks and Imani saw 57 birds.

If we add 3 ones plus 4 ones we get 7 ones.

If we add 2 tens plus 3 tens we get 5 tens or 50.

50 + 7 = 57.

• ### Can you match the base ten blocks to the number sentence?

Hints

Separate each number into tens and ones:

• how many tens are there?
• how many ones are there?

For example, these base ten blocks represent 26 (20 + 6) plus 11 (10 + 1).

Solution

Here we can see the base ten that represents 22 + 17.

• There are two tens for 22 and one ten for 17 making three tens, or 30, altogether.
• There are two ones for 22 and seven ones for 17 making nine ones, or 9, altogether.
• 30 + 9 = 39
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44 + 41

• Four tens for 44 and four tens for 41 making eight tens, or 80, altogether.
• Four ones for 44 and one one for 41 making five ones, or 5, altogether.
• 80 + 5 = 85
46 + 32
• Four tens for 46 and three tens for 32 making seven tens, or 70, altogether.
• Six ones for 46 and two ones for 32 making eight ones, or 8, altogether.
• 70 + 8 = 78
23 + 15
• Two tens for 23 and one ten for 15 making three tens, or 30, altogether.
• Three ones for 23 and five ones for 15 making eight ones, or 8, altogether.
• 30 + 8 = 38

• ### Solve the addition expressions.

Hints

If we were trying to solve 27 + 31 we would use base ten blocks like this.

Solution
• 27 + 31 = 58
• 53 + 45 = 98
• 62 + 16 = 78
• 56 + 12 = 68

Hints

Think about how many tens and ones are in each number and then add these together.

Solution

48

• 24 + 24 = 48
• 31 + 17 = 48
59
• 42 + 17 = 59
• 36 + 23 = 59
• 32 + 27 = 59
67
• 34 + 33 = 67
• 25 + 42 = 67

• ### How many trees did Mr. Squeaks and Imani see?

Hints

How many ones are there altogether?

How many tens are there altogether?

There are four tens or 40 and then five ones so what is 40 + 5?

Solution

Mr. Squeaks and Imani saw 45 trees.

• If we add three tens from 32 and one ten from 13 we get four tens or 40.
• We then add two ones from 32 and three ones from 13 to make five ones or 5.
• 40 + 5 = 45.
• ### What has Mr. Squeaks seen today?

Hints

Find the key information first, what are you trying to find?

You are trying to find the total. Pick out the numbers that you need to add together.

Think about how many tens and ones are in each equation. You could draw them out to help you.

Solution

Mr. Squeaks made it to the cafe! Below you can see the totals of all of the things he saw on his journey.

Mr. Squeaks is walking across the city this morning. First he saw 22 pigeons in the square and 14 pigeons in the tree. Altogether, he saw 36 pigeons.

He then walked past a bakery. In the window he saw 31 baguettes and 26 bagels. That makes 57 baked items altogether.

As he was walking down the road he saw 53 cars go past as well as 15 trucks. Mr. Squeaks saw 68 vehicles altogether.

Mr. Squeaks also saw the mail lady. She was delivering 72 letters and 17 packages. Altogether, she was delivering 89 items.

Mr. Squeaks had almost made it to the cafe, where he was meeting Imani, when he saw some dogs playing in the park. He didn't want to hang around too long, but he did see 25 Labradors and 14 Poodles. Altogether he saw 39 dogs.