Using Place Value to Add Two Digit Numbers (No Regouping)
Basics on the topic Using Place Value to Add Two Digit Numbers (No Regouping)
Using Place Value to Add TwoDigit Numbers – Introduction
We're here to help you learn about using place value to add twodigit numbers without regrouping. This method ensures accuracy and helps us understand the value of each digit in a number. Let's get our paper and pencils ready because today, we're going to practice this together!
What Is Place Value Addition?
Place value addition involves adding numbers by breaking them down into tens and ones. This method helps us visualize the addition process and understand how numbers are composed.
Here are the steps to tackle addition using place value:
Step #  Action 

1  Read the problem and determine what you are asked to find. 
2  Represent the first addend using tens and ones. 
3  Represent the second addend using tens and ones. 
4  Add all of the blocks in the ones place together. 
5  Add all of the rods in the tens place together. 
6  Put the numbers together to find the answer. 
7  Check your answer to ensure it makes sense with the problem. 
Let's practice understanding place value addition with a few examples.
Solving Place Value Addition Problems – Example
Example 1:
What is 20 + 12?
Steps to Solve the Problem:
Step #  Action  Pictorial Representation 

1  Represent the first addend (20) using tens and ones: 2 tens and 0 ones.  
2  Represent the second addend (12) using tens and ones: 1 ten and 2 ones.  
3  Add the ones place: 0 + 2 = 2  
4  Add the tens place: 2 + 1 = 3  
5  Combine to get the answer: 32 
The sum is 32.
Example 2:
What is 32 + 16?
Steps to Solve the Problem:
Step #  Action 

1  Represent the first addend (32) using tens and ones: 3 tens and 2 ones. 
2  Represent the second addend (16) using tens and ones: 1 ten and 6 ones. 
3  Add the ones place: 2 + 6 = 8 
4  Add the tens place: 3 + 1 = 4 
5  Combine to get the answer: 48 
The sum is 48.
Example 3:
What is 43 + 24?
Steps to Solve the Problem:
Step #  Action 

1  Represent the first addend (43) using tens and ones: 4 tens and 3 ones. 
2  Represent the second addend (24) using tens and ones: 2 tens and 4 ones. 
3  Add the ones place: 3 + 4 = 7 
4  Add the tens place: 4 + 2 = 6 
5  Combine to get the answer: 67 
The sum is 67.
Solving Place Value Addition Problems – Practice
Now, let's put your skills to the test. Solve these problems on your own, and check the solutions when you're ready!
Solving Place Value Addition Problems – Summary
Key Learnings from this Text:
 Solving problems using place value can be achieved by following these steps:
Step #  Action 

1  Read the problem and determine what you are asked to find. 
2  Represent the first addend using tens and ones. 
3  Represent the second addend using tens and ones. 
4  Add all of the blocks in the ones place together. 
5  Add all of the rods in the tens place together. 
6  Combine the numbers to find the answer. 
7  Check your answer to ensure it makes sense with the problem. 
 Mastering place value addition is an important foundational math skill.
Keep practicing these steps, and you'll become a pro at adding numbers using place value! Check out more fun math challenges and exercises on our website to continue sharpening your skills.
Solving Place Value Addition Problems – Frequently Asked Questions
Transcript Using Place Value to Add Two Digit Numbers (No Regouping)
"Hmm, something is not adding up for my plane." "We should run the calculations using place value to make sure we did everything correctly." "Adding using place value?" We can help our friends learn about 'Using Place Value to Add TwoDigit Numbers (no regrouping) to solve their problem. There are different ways to solve addition equations, one way is place value. You might already know that place value is the value of a number depending on where it is. When adding using place value, start by representing the first addend, or, number on the place value chart using tens and ones. Next, represent the second addend using tens and ones. After that, add all of the blocks in the one's place together and write it under the chart. Then, add all of the rods in the tens place together and write that number under the chart. Finally, put the numbers together to find the answer under the line! Let's take a look at Mr. Squeaks and Imani's first equation to learn more. They are adding twenty plus twelve for the wood they will use. What is twenty plus twelve? Start by representing the first addend using tens and ones. We can represent twenty with two tens and zero ones. Next, represent the second addend using tens and ones. We can represent twelve with one ten and two ones. After that, we need to add all of the blocks in the ones place. Zero plus two equals two. Then, we need to add all of the tens together. Two plus one equals three. Finally, we can see our answer under the line, thirtytwo! Imani is adding thirtytwo square bolts and sixteen circular bolts together. What is thirtytwo plus sixteen? Start by representing the first addend, thirtytwo. Thirtytwo can be represented by three tens and two ones. Next, represent the second addend, sixteen. Sixteen can be represented by one ten and six ones. After that, we can add all of the ones blocks together. What is two plus six? Eight! Then, we can add all of the tens rods together. What is three plus one? Four! Finally, put the numbers under the line together to find the answer. There are fortyeight bolts for the plane. Mr. Squeaks is adding fortythree purple rods and twentyfour pink rods to his plane. What is fortythree plus twentyfour? We can use place value one last time! Remember, start by representing the first addend using tens and ones. Next, represent the second addend. Then, add all of the ones blocks together and then all of the tens rods together. Finally, put the numbers under the line together to find the answer. How many rods does Mr. Squeaks have in total? Sixtyseven! Before we see Mr. Squeaks fly, let's remember. When adding using place value, start by representing your first addend using tens and ones. Then, represent your second addend using tens and ones. Next, add all of the ones blocks together. After that, add all of the tens rods together. Finally, put the numbers under the line together to find the answer! : "I'm flying, Imani, flying!" "Sure you are!"
Using Place Value to Add Two Digit Numbers (No Regouping) exercise

How can we use place value to add two two digit numbers?
HintsFirst we need to represent the first number, 32.
Next we need to represent the second number, 16. Now we will see both numbers represented in the place value table.
Add the ones before adding the tens.
Solution32 + 16 = 48
 Represent the first number, 32.
 Represent the second number, 16.
 Add the ones, 2 + 6 = 8.
 Add the tens, 3 + 1 = 4.

How many buttons does Mr Squeaks have?
HintsWe already have both of the numbers represented in the place value table, what is our next step?
Add the ones.
Add the tens.
Solution23 + 54 = 77
 Add the ones blocks, 3 + 4 = 7
 Add the tens rods, 2 + 5 = 7
 Altogether we have 77

How many metres has Mr Squeaks flown?
HintsFirst, represent both of the numbers in a place value table.
Once you have represented the numbers, you can add the ones column.
Finally, add the tens column.
SolutionMr Squeaks flew 46 metres.
 Add the ones, 5 + 1 = 6
 Add the tens, 1 + 3 = 4
 Altogether that is 46 metres.
$\stackrel{\underline{\begin{matrix}&1&5\\ +&3&1\end{matrix}}}{\ \ \begin{matrix}&4&6\end{matrix}}$

Solve the addition problems using place value.
HintsStart by representing each number in a place value table.
For example, when solving 22 + 17, your place value table could look like this.
Add the ones and then add the tens.
Solution22 + 17 = 39
We can see in the picture above that 22 and 17 have been represented in the place value table.
We can then add the ones, 2 + 7 = 9. Then add the tens, 2 + 1 = 3. Altogether that is 39.
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 30 + 65 = 95
 26 + 52 = 78
 15 + 44 = 59

How many parts does Imani have?
HintsBoth of the numbers have been represented in the table. Now we need to add the ones.
Next, we need to add the tens.
How many spare parts altogether?
Solution13 + 16 = 29
 Add the ones blocks, 3 + 6 = 9
 Add the tens rods, 1 + 1 = 2
 Altogether that is 29 spare parts.

Can you solve the problems?
HintsFind the numbers you are adding together in each problem.
Create your own place value table and represent the numbers.
Add the ones before adding the tens.
SolutionOn Monday, the vets treated 34 cats and on Tuesday they treated 45 cats. How many cats did they treat across the two days? 79
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One basket has 52 apples in it and another basket has 36 apples. Altogether, there are 88 apples.
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$\stackrel{\underline{\begin{matrix}&5&2\\ +&3&6\end{matrix}}}{\ \ \begin{matrix}&8&8\end{matrix}}$