Subtract By Adding
Basics on the topic Subtract By Adding
How Do You Do Addition and Subtraction Mentally?
In this video Imani is helping Mr. Squeaks train for an upcoming track meet! As Mr. Squeaks is running, he wants to know exactly how far he has run. He learns all about the think addition to subtract strategy while training. Watch this video to learn more about how to use think addition to subtract.
What is the Think Addition Strategy?
You may know that there are many strategies to help solve addition equations, but did you know that there are many to solve subtraction equations as well? One of those is the think addition strategy, also known as subtract using addition!
You may be wondering, how does addition help subtraction? Addition and subtraction are related, meaning that we can use what we know about one to help us with the other! When using addition to solve subtraction equations;
First: create the subtraction equation
Then: think of an addition fact to help you subtract. You can this by looking at the subtraction equation!
Next: take the smaller number from the subtraction equation to create the new addition equation
Finally: count up from the smaller number to find the answer!
Think Addition to Subtract 2nd Grade  Practice
What is the easiest way to add and subtract numbers? Take a look at the example below and use the think addition or subtract using addition strategy to solve!
Remember to create a new addition equation, and to count up to find the answer. We can create thirty plus what equals fortysix as our new addition equation.
Thirty plus sixteen equals fortysix, which means that fortysix minus thirty also equals sixteen!
Think Addition to Subtract  Summary
Today we learned all about think addition to subtract, which is when you subtract using addition. When using addition to subtract;
First: create the subtraction equation
Then: Use the smaller number to create the new addition equation
Next: Count up to solve
Finally: Your answer to the addition equation is also the answer to your subtraction equation!
Looking for extra practice? After this video check out the interactive exercises and a think addition to subtract worksheet.
Transcript Subtract By Adding
: "Gear up, Imani! We've got a track meet to practice for." Imani is helping Mr. Squeaks train for his upcoming track meet. He starts at the twentythree marker and runs to the ten marker, but far did he actually run? Mr. Squeaks and Imani can "subtract by adding" to figure this out! There are many different strategies and tools to help with addition. Well, there are many for subtraction as well! But, did you know that one of the strategies to help with subtraction is actually using addition? Some people use this strategy because they feel more comfortable adding than subtracting. When using addition to subtract… start with the subtraction equation (...) what is the subtraction equation here? It's twentythree minus ten. Then, remake it as an addition equation by starting with the smaller number. Our addition equation is ten plus what equals twentythree. Next, count up from the first number to the answer, twentythree. You can use many tools or strategies to count up (...) let's use a hundreds chart here. What plus ten equals twentythree? Finally, the amount you count up is the answer to your subtraction equation. Ten plus thirteen equals twentythree! That means twentythree minus ten ALSO equals thirteen. Mr. Squeaks sure has been practicing a lot! If he just sprinted from the thirtyeight marker to the twenty marker, how many markers did he run? We can subtract by adding to find out! First, set up the subtraction equation. Here it is thirtyeight minus twenty. Then, remake it as an addition equation by starting with the smaller number. That means our equation becomes twenty plus what equals thirtyeight. Next, count up from the first number to the answer, thirtyeight. Remember, there are many ways to solve addition equations, let's try place value this time. What plus twenty IS thirtyeight? Finally, the amount you count on is the answer to your subtraction equation. Twenty plus eighteen equals thirtyeight. That means thirtyeight minus twenty ALSO equals eighteen. Mr. Squeaks is on his final practice sprint before his big meet! If he ran from the fortysix marker to thirty, how far did he run? In order to subtract by adding, remember to set up the equation first. That means we need to solve for fortysix minus thirty. Then, remake it as an addition equation by starting with the smaller number. Which is thirty plus what equals fortysix. Then, solve for the addition equation using a strategy or tool that works for you, this time let's use a number line. What plus thirty equals fortysix? Finally, the amount you count on is the answer to your subtraction equation. Thirty plus sixteen equals fortysix! So, fortysix minus thirty ALSO equals sixteen. Before we see Mr. Squeaks' race, let's review. When using addition to subtract... Start by creating a subtraction equation. Then, remake it as an addition equation by starting with the smaller number. Next, solve for the addition equation using a strategy or tool. Finally, the amount you count on is the answer to your subtraction equation. Now, let's see that race! : "I don't know about this anymore, Imani... : "Woah! Now that's what I'm talking about, thanks Imani!"
Subtract By Adding exercise

Order the steps for subtracting by adding.
HintsReorder the subtraction equation as an addition problem by solving for 10 + ? = 23? Then count up from 10 to 23.
Solve for 30 + ? = 46 by first counting up to the next 10. Then continue counting to find the difference!
SolutionStep ONE: Create a subtraction equation.
Step TWO: Remake the equation as an addition equation, starting with the smaller number.
Step THREE: Solve the addition equation by counting up to the solution.
Step FOUR: Remake the equation again as a subtraction equation with the solution.

Subtract by adding.
HintsIn order to solve with addition, rephrase the subtraction equation as an addition problem.
Rearranging a subtraction equation as an addition problem can make it easier to count up to the solution and solve the equation.
Solution1) 10  2 = ?
2) 2 + ? = 10
3) 2 + 8 = 10A good technique to solve with addition can be to count up from 2 to 10. The difference is your answer!

Word problems to equations.
HintsWhen making a subtraction equation, write the larger number first and subtract the smaller number next.
If Mr. Squeaks begins at the 6 marker and runs until the 12 marker this problem would be written as 12  6 = ? to find how far he ran.
Solution*Mr. Squeaks started at the 23 marker and ran to the 10 marker becomes 23  10 = ___
*Mr. Squeaks started at the 30 marker and ran to the 18 marker becomes 30  18 = ___
*Mr. Squeaks started at the 5 marker and ran to the 15 marker becomes 15  5 = ___
*Mr. Squeaks started at the 10 marker and ran to the 50 marker becomes 50  10 = ___ 
Subtraction to addition.
HintsWhen remaking an equation, the larger number in the subtraction equation will be the solution in the addition equation.
In order to solve with addition, rephrase the subtraction equation as an addition problem.
SolutionWhen remaking an equation, the larger number in the subtraction equation will be the solution in the addition equation.
 10  4 can be rewritten as 4 + ___ = 10. 10  4 = 6 and 4 + 6 = 10.
 18  6 can be rewritten as 6 + ___ = 18. 18  6 = 12 and 6 + 12 = 18.
 10  6 can be rewritten as 6 + ___ = 10. 10  6 = 4 and 6 + 4 = 10.
 5  5 can be rewritten as 5 + ___ = 5. 5  5 = 0 and 5 + 0 =5.
 20  5 can be rewritten as 5 + ___ = 20. 20  5 = 15 and 5 + 15 = 20.

Tools for adding when subtracting.
HintsA hundreds chart can be a good way to see the numbers while you are counting.
A number line allows you to count and add quickly with tens before you start adding ones.
A place value chart will let you easily see how many tens and ones you still need to add to the total.
Solution A number line allows you to count and add quickly with tens before you start adding ones.
 A hundreds chart can be a good way to see the numbers while you are counting.
 A place value chart will let you easily see how many tens and ones you still need to add to the total.

Solving subtraction equations by adding.
HintsIn order to solve with addition, rephrase the subtraction equation as an addition problem.
Rearranging a subtraction equation as an addition problem can make it easier to count up to the solution and solve the equation. Remember to rewrite again as a subtraction equation as the last step.
SolutionWhen remaking an equation, the larger number in the subtraction equation will be the solution in the addition equation. Then fill in the rest of the numbers step by step.
Problem 1
1) 10  6 = ?
2) 6 + ___ = 10
3) 6 + 4 = 10
4) 10  6 = 4Problem 2
1) 16  14 = ?
2) 14 + ___ = 16
3) 14 + 2 = 16
4) 16  14 = 2
Subtract By Adding
Using Place Value to Subtract Two Digit Numbers (No Regrouping)
Subtraction Using Compensation
Missing Numbers in Subtraction—Let's Practice!
Subtract Using Addition — Let's Practice!
Make a Number Line to Subtract — Let's Practice!
Subtraction Using Compensation — Let's Practice!