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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 go, but he needs a strategy— addition using column addition! Learn more below all about column addition.

### 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.

What is column addition? How is it used? 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 and column addition.

When using expanded form addition with tens and ones, follow the steps below:

Step # What to do
1 Start by writing your numbers in expanded form
4 Finally, add the tens and ones together one last time

You may be wondering how to do addition using column addition… start by taking a look at the examples below and try to solve them using expanded form and column addition to add.

Mr. Squeaks and Imani are adding items together for a new project that they are building. If they have thirty-two small screws and forty-six big screws, how many screws do they have all together?

Mr. Squeaks and Imani will have seventy-eight screws all together.

Let’s take a look at one more example. Mr. Squeaks 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?

Mr. Squeaks will have ninety-eight seeds for his salad!

Step # What to do
1 Start by writing your numbers in expanded form
4 Finally, add the tens and ones together one last time

• Finally, add the tens and ones together one last time

"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 race 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 Column Addition" There are different strategies and tools that Mr. Squeaks can use to help him add numbers together. One is called Column Addition, when you write a number to show the value of 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 column addition to add, what is his combined speed? Start by writing your addends into the correct columns, based on their value. Our first addend is twenty-two which when using the column method becomes twenty AND two. Our second addend is thirty-three, which when using column addition 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 together.

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 Column Addition! Remember, the first step is to write the addends into the correct colomns. 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 column addition, what will the sum be? Remember to write the addends into the correct columns. 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 column addition, start by writing your addends into the correct columns. 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 little bit further" "Wait a second, Imani? Where did you come from?"