Three Digit Addition with Regrouping - Expanded Form

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Information about the video Three Digit Addition with Regrouping - Expanded Form

Contents

In This Addition with Expanded Form with Regrouping Video...

Mr. Squeaks is going to ski school over the weekend! He is curious to know how far he skied on the slopes each day. We teach Mr. Squeaks how to use expanded form when solving three-digit addition problems (regrouping) to determine the distance he skied.

What is addition with expanded form with regrouping?

Expanded Form is an addition strategy we can use to help solve equations. Expanded form is a way of writing numbers to emphasize the value each digit has. For example, three hundred forty-five can be rewritten in expanded form as three hundred plus forty plus five. We can use this format to help us add with regrouping.

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How to do Three-Digit Addition with Regrouping using Expanded Form

Let’s use the example three hundred eighty one plus ninety-nine.

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First, rewrite the equation in expanded form, one on top of the other.

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Then, start adding the ones column. Here the sum is ten. Since ten has zero ones and one ten, we write zero in the ones place. Then, we regroup, or move, the ten to the top of the tens place.

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Next, add the tens column. Here the sum is one hundred eighty. One hundred eighty has one hundred and eighty tens, so we write eighty in the tens place. Then, we regroup one hundred to the top of the hundreds place.

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Now, add up the hundreds column and write the sum, four hundred, below.

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Finally, take the answer out of expanded form by adding it together.

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Summary of Steps: Addition with Regrouping Using Expanded Form

  • First, rewrite the equation in expanded form, one on top of the other.

  • Next, add the ones column. If the sum has a ten, regroup and write it above the tens place. Then, write the ones value in the ones place.

  • Next, add the tens column. If the sum has a hundred, write that above the hundreds place. Then, write the value of the ten in the tens place.

  • Afterwards, add up the hundreds column and write the sum below in the hundreds place.

  • Finally, take the answer out of expanded form by adding it together.

Have you practiced yet? On this website, you can also find three-digit expanded form addition with regrouping examples on worksheets and exercises.

Transcript Three Digit Addition with Regrouping - Expanded Form

Mr. Squeaks is learning how to ski this weekend! At the end of the day, he is curious to know how well he did. Except, he can't quite figure out how to add to the three digit numbers. Let's help Mr. Squeaks by showing him "Three Digit Addition with Regrouping - Expanded Form." Remember, expanded form is a way of writing numbers to emphasize the value each digit has. For example, three hundred forty-five can be rewritten in expanded form as three hundred plus forty plus five. We can use this format to help us add with regrouping. On Saturday, Mr. Squeaks skied three hundred eighty one feet on Bunny Run and ninety-nine feet on Star Pass. What distance did he cover in all? Let's rewrite it in expanded form, one on top of the other. Start with adding the ones column. The sum is ten. Ten has zero ones and one ten, so we write zero in the ones place and we regroup, or move, the ten to the top of the tens place. Next, add the tens column. The sum is one hundred eighty. One hundred eighty has one hundred and eight tens, so we write eight in the tens place... and we regroup one hundred to the top of the hundreds place. Add up the hundreds column and write the sum below. Finally, take the answer out of expanded form by adding it together. Mr. Squeaks skied four hundred and eighty feet his first day! Let's help Mr. Squeaks calculate his total on Sunday. He skied six hundred thirty feet on Snow Powder Pass and two hundred seventy eight feet on Double Trouble Trail. How far did he ski in all? Remember, first rewrite the equation in expanded form, one on top of the other. Begin by adding the ones column. What is the sum? The sum is eight ones so we write eight here in the ones place. Where do we add next? Next, we add the tens column. The sum is a hundred. A hundred has one hundred and zero tens. Where should we write our sum? We write a zero in the tens place and we regroup one hundred to the top of the hundreds place. What is the sum of the hundreds column? The sum is nine hundred which we write here. What is the final step? Take the answer out of expanded form by adding it together. Mr. Squeaks skied nine hundred and eighty feet his second day! But where has Imani been? As Mr. Squeaks searches, let's remember! First, rewrite the equation in expanded form, one on top of the other. Add the ones column. If the sum has a ten, regroup and write it above the tens place. Write the ones value in the ones place. Next, add the tens column. If the sum has a hundred, write that above the hundreds place. Write the value of the ten in the tens place. Add up the hundreds column and write the sum below. Finally, take the answer out of expanded form by adding it together. "Woah Look out!" "Is that where you've been this whole time?" "Totally tubular, Squeaks!" "Wanna join me?!" "Woah! Look out!"