Addition Using Expanded Form
Basics on the topic Addition Using Expanded Form
Expanded Form Addition
What is the expanded form in addition? Learn more below all about adding using expanded form and place value.
Expanded Form – Definition
Expanded form is when you write a number to show the value for each digit. For example, the number twenty-two can be written in expanded form as twenty and two.
Adding Numbers in Expanded Form
How is expanded form used in addition? There are many different strategies and tools to use to solve addition equations. One of those is using expanded form, when you write a number to show the value for each digit. When using expanded form addition with tens and ones, follow these steps:
| Step # | What to do |
|---|---|
| 1 | Start by writing your numbers in expanded form |
| 2 | Next, add your ones from each addend together |
| 3 | Then, add the tens from each addend together |
| 4 | Finally, add the tens and ones together one last time |
Addition Using Expanded Form – Examples
You may be wondering how to do addition using expanded form… start by taking a look at the examples below and try to solve them using expanded form to add.
We are adding items together for a new project that we are building. If we have thirty-two small screws and forty-six big screws, how many screws do they have all together?
Using expanded form in addition, we can say we will have seventy-eight screws all together.
Let’s take a look at one more example. Jake is adding together different ingredients for a salad that he is making. If he wants to add fifty-one sunflower seeds and forty-seven lemon seeds, how many seeds will he have all together?
Jake will have ninety-eight seeds for his salad!
Expanded Addition – Summary
Remember when adding using expanded form, you need to follow these steps:
Start by writing your addends in expanded form
Next, add your ones from each addend together
Then, add the tens from each addend together
Finally, add the tens and ones together one last time
| Step # | What to do |
|---|---|
| 1 | Start by writing your numbers in expanded form |
| 2 | Next, add your ones from each addend together |
| 3 | Then, add the tens from each addend together |
| 4 | Finally, add the tens and ones together one last time |
If you want some more practice on addition using expanded form, have a look at the interactive exercises, worksheets and other activities on addition with expanded form down below!
Transcript Addition Using Expanded Form
"You may be fast Imani, but I made this car to go even faster!" : "See YOU at the finish line!" Mr. Squeaks and Imani are having a racing contest to see who can go faster around the track. Mr. Squeaks is adding his speeds together to see how fast he can drive, but he needs a strategy. : "Addition Using Expanded Form" There are different strategies and tools that Mr. Squeaks can use to help him add numbers together. One is called expanded form, when you write a number to show the value for each digit. This can be easier because you can add all of the ONES together, and then all the TENS. Mr. Squeaks notices his first speed is twenty-two, but then a few minutes later his speed has increased to thirty-three! If we use expanded form to add, what is his combined speed? Start by writing your addends in expanded form. Our first addend is twenty-two which in expanded form becomes twenty AND two. Our second addend is thirty-three, which in expanded form becomes thirty AND three. Next add your ONES from each addend together. We have two from the first addend and three from the second. Two plus three equals five. After we add the ones together, we can add the tens together. We have twenty and thirty (...) which equals fifty when we add them togther. Finally add the tens and ones together one last time. If we add fifty plus five we get fifty-five. Next, Mr. Squeaks notices his speed is thirty-two and later forty-six. He wants to add his last two speeds together and go even faster! How can Mr. Squeaks add his speeds together? He can use expanded form! Remember, the first step is to write the addends in expanded form. We have thirty-two which becomes thirty AND two and forty-six which becomes forty AND six. The next step is to add the ones together. Two plus six equals eight. Then we need to add the tens from the addends together. Thirty plus forty equals seventy. Finally add the tens and ones together one last time. If we add seventy plus eight, what is the sum? Seventy plus eight equals seventy-eight. Mr. Squeaks increases his speed just a bit because he's determined to win! Mr. Squeaks increases his speed from fifty-one by another forty-seven! If we add those using expanded form, what will the sum be? Remember to write the addends in expanded form. Add the ones from the addends together, and then the tens. Don't forget to add the tens and ones together one final time to find the sum! Fifty-one plus forty-seven equals ninety-eight. Finally, Mr. Squeaks is nearing the end of the track! Before we see if he has won the race, let's review. Remember, when adding using expanded form... start by writing your addends in expanded form. Next, add your ones from each addend together. Then, add the tens from the addends together. Finally, add the tens and ones addends together one last time. : "I can see the finish line! Just a bit further" : "Wait a second (...) Imani? Where did you come from?"
Adding a 1-Digit Number to a 2-Digit Number
Order in Adding
Using Place Value to Add
Using Place Value to Add Two Digit Numbers (Regrouping)
Make a Number Line to Add
Make a Number Line to Add — Let's Practice!
Addition Using Expanded Form
Compensation in Addition — Let's Practice!
Addition with Regrouping - Ten
Three Digit Addition with Regrouping - Expanded Form
Adding 2 Digit Numbers Using Standard Algorithm
Adding 3 Digit Numbers Using Standard Algorithm
Adding Larger Numbers — Let's Practice!
Adding Four Two Digit Numbers
