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Adding 3 Digit Numbers Using Standard Algorithm

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Adding 3 Digit Numbers Using Standard Algorithm
CCSS.MATH.CONTENT.4.NBT.B.4

Basics on the topic Adding 3 Digit Numbers Using Standard Algorithm

Content

How Do You Add 3 Digit Numbers Using Standard Algorithm?

In this Video

Mr. Squeaks is taking off on the trip of a lifetime! He is going to visit a magical place that his beloved grandpa used to tell him stories about. He’s so excited about this trip and has never traveled this far, so he wants to record every moment in his journal! We can help figure out how far away his destination, is by totaling up the distance he travels each day. In this video, we are shown how to use standard algorithm to solve 3 digit addition without regrouping and 3 digit addition with regrouping. Mr. Squeaks' travels take him to the most beautiful place he has ever seen. His grandpa would be so proud!

Example of 3 Digit Addition Without Regrouping

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Examples of 3 Digit Addition with Regrouping

Regrouping in one place value 24876_Line27.svg

Regrouping in two place values 24876_Line44.svg

Transcript Adding 3 Digit Numbers Using Standard Algorithm

Mr. Squeaks is taking off on the trip of a lifetime! He is going to visit a magical place that his beloved grandpa used to tell him stories about. He’s so excited about this trip and has never traveled this far, so he wants to record every moment in his journal! We can help figure out how far away his destination, is by totaling up the distance he travels each day. "Adding Three-Digit Numbers Using Standard Algorithm" Let’s look at Mr. Squeaks’ flight log to calculate how far he traveled. To find the total distance, we’ll start with his travel of day one and day two combined. First, set up the problem by writing one hundred forty-two(...) over one hundred twenty-six. Make sure to include the addition sign, so we remember the operation. Start with the ones place. (...)what is two plus six? We put the eight directly underneath this place value. Move to the left and look at the tens place. How many tens are there in forty and twenty? There are SIX TENS in the number sixty. Write the digit six in the tens place, directly below the line. Continue moving left to the hundreds place. Even though you see the digit one, these have the value of one hundred. We say one hundred plus one hundred equals two hundred. In the answer, we write a two under the hundreds column. WOW! So far Mr. Squeaks has traveled two hundred, sixty-eight FEET! The next day he continues another one hundred and twenty-three feet. Let’s add that to our travel log. For our next problem, we have two hundred, sixty-eight and one hundred twenty-three. We have the eight over the three in the ones place,(...) the six over the two in the tens(...) and the two over the one for the hundreds. Again, we want to go back over to the ones place to start adding. Eight and three more, make eleven. What error do you notice in this answer? ...We can not have two digits in one place value. This ONE would be REGROUPED to the tens place. There are now three digits to add in the tens column. We add the tens by starting with the numbers that we already have in the problem. Six tens plus two tens make eight tens(...)and now we add one more group of ten. We have ninety, or NINE TENS. Since we don’t have to regroup, we move over to add the hundreds place. Two hundred and one hundred equals three hundred. In all, he has gone three hundred, ninety-one feet! Mr. Squeaks is almost to his destination(...)one more day to travel! On his final day, he adds another one hundred thirty-nine feet. Pause the video and try this one on your OWN before we go over it. What did you notice about the regrouping when solving this problem? We had to regroup TWICE(...)both in the tens and hundreds place. Let’s take a look at how we added up these numbers. Starting at the ones place, one plus nine makes ten. What digit do we write underneath the ones place? Zero(...) because there are zero ones in the number ten. The one moves over to the tens place and is added in with nine and three(...) for a total of thirteen tens. Thirteen tens is the same as having one hundred and three tens, so we regroup again. In the hundreds place, we add(...) three hundred and one hundred and one hundred more. The sum is five hundred, so we put a five in the hundreds place. MR. SQUEAKS HAS TRAVELED FIVE HUNDRED AND THIRTY FEET!! Remember(...) in standard algorithm, we line up numbers vertically, or one top of the other, based on place values... We start by adding with the ones place(...) and move to the left to add the tens(...) and again to add the hundreds. Sometimes we need to regroup into the next place value when our sum is greater than ten. Mr. Squeaks steps off the plane. It was the most BEAUTIFUL thing he had ever seen! His grandpa would be SO PROUD! [Mr. Squeaks lands steps off the plane and walks towards the most beautiful sight. Then we see the World's Largest Hamster Wheel (maybe with a glowing light behind it) He looks down at his photo and he looks back up. He has a huge smile on his face. The video ends with side-by-side pictures of his trip and his grandpa's. ]

Adding 3 Digit Numbers Using Standard Algorithm exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Adding 3 Digit Numbers Using Standard Algorithm .
  • What is the place value of the underlined digit?

    Hints

    Put your number in the columns below.

    Is the underlined digit in the hundreds, tens or ones column?

    Solution

    If your number has 3 digits it will have a hundreds, tens and ones place.

    3 0 6 Tens

    3 hundreds 0 tens 6 ones

    2 7 1 Hundreds

    2 hundreds 7 tens 1 one

    9 8 1 Ones

    9 hundreds 8 tens 1 one

  • Can you find the mistake in the solution?

    Hints

    Make sure the answers have been placed in the correct columns.

    Since the answer from the tens column is more than 2 digits, we need to carry the tens number over to the hundreds column.

    Solution

    For the ones place: 3 + 5 = 8

    For the tens place: 4 + 7 = 11

    We need to regroup the digit in the tens place to the hundreds column. So you are left with a 1 in the tens place.

    For the hundreds place: 1 + 2 + 2 = 5

    500 + 10 + 8 = 518

  • Solve the equation by placing the digits into the correct boxes.

    Hints

    First, make sure you have put all of the digits for the number you're adding in the correct place.

    Start by adding the ones, then the tens, and lastly the hundreds place.

    Don't forget if your answer in the ones or tens column is greater than 9, you need to regroup the digit in the tens of the number to the next column.

    Solution

    Once the digits are in the correct column:

    • Add the ones column first. 4 + 3 = 7.
    • Then add the tens column. 4 + 6 = 10. We need to regroup the 1 to the hundreds column. So we're left with a 0 in the tens column.
    • Finally add the hundreds column. 1 + 3 + 2 = 6.
    The answer is 607.

  • Solve the equations.

    Hints

    For this example, looking at the answer in the tens column, the 1 in 12 needs to be regrouped to the hundreds column. Then, the hundreds column will be 1 + 7 + 6.

    Are there any that need to be regrouped for these equations above?

    Start adding the ones place first.

    Then add the tens place.

    Finally add the hundreds place.

    Solution

    473 + 326 = 799

    306 + 291 = 597

    651 + 367 = 1,018

  • What's the solution?

    Hints

    Add the digits in the ones column first.

    3 + 5 =

    Add the digits in the tens column next.

    4 + 2 =

    Solution

    Add the digits in the ones column first 3 + 5 = 8

    Then add the digits in the tens column 4 + 2 = 6

    Finally add the digits in the hundreds column 2 + 1 = 3

    243 + 125 = 368

  • Solve the answers to the equations.

    Hints

    Put the numbers on top of each other in the place value chart. Make sure all digits are in the correct column.

    Solution

    Put the numbers on top of each other in the place value chart.

    Add the digits in each column, starting with the ones, then tens, and lastly, hundreds.

    For 362 + 244:

    Add the ones: 2 + 4 = 6

    Then add the tens: 6 + 4 = 10 We need to regroup the 1 to the hundreds column.

    Lastly, add the hundreds: 1 + 3 + 2 = 6

    362 + 244 = 606

    ______________________________

    For the rest of the equations:

    271 + 149 = 420

    745 + 639 = 1384

    549 + 207 = 756

    365 + 256 = 621