Adding Three-Digit Numbers with Regrouping

Mathematics Grades 4th Grade 2:26 Video
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Lesson Description

Learn how to add three-digit numbers using the standard algorithm, focusing on regrouping (carrying) from the ones and tens places.

Video Resource

Adding three-digit numbers | Addition and subtraction | Arithmetic | Khan Academy

Khan Academy

Duration: 2:26
Watch on YouTube

Key Concepts

  • Place Value (ones, tens, hundreds)
  • Regrouping (carrying) ones to tens and tens to hundreds
  • Standard Algorithm for Addition

Learning Objectives

  • Students will be able to add three-digit numbers using the standard algorithm.
  • Students will be able to identify when regrouping is necessary and perform it correctly.
  • Students will be able to explain the meaning of regrouping in terms of place value.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing the concept of place value (ones, tens, hundreds). Ask students to identify the place value of digits in various three-digit numbers. Then, pose a simple addition problem (without regrouping) as a warm-up.
  • Video Viewing (7 mins)
    Play the Khan Academy video "Adding three-digit numbers | Addition and subtraction | Arithmetic | Khan Academy." Instruct students to pay close attention to how the narrator explains the regrouping process.
  • Guided Practice (15 mins)
    Work through a few examples of three-digit addition with regrouping on the board, explaining each step clearly. Emphasize the importance of writing the numbers neatly in columns according to place value. Use color-coding similar to the video to illustrate regrouping.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing three-digit addition problems with varying degrees of regrouping. Circulate to provide assistance as needed.
  • Wrap-up (3 mins)
    Review the key concepts of place value and regrouping. Ask students to summarize the steps involved in adding three-digit numbers with regrouping.

Interactive Exercises

  • Place Value Chart Activity
    Provide students with a place value chart (ones, tens, hundreds). Have them represent three-digit numbers using manipulatives (base-10 blocks) and then add them, physically regrouping the blocks when necessary.
  • Online Addition Game
    Allow students to play an online game that focuses on adding three-digit numbers with regrouping. This provides a fun and engaging way to practice their skills.

Discussion Questions

  • What does it mean to 'regroup' in addition?
  • Why is it important to line up the numbers according to their place value when adding?
  • How can you check your answer to make sure it is correct?

Skills Developed

  • Addition
  • Place Value Understanding
  • Problem Solving
  • Attention to Detail

Multiple Choice Questions

Question 1:

What is 236 + 145?

Correct Answer: 381

Question 2:

When adding, if the ones column adds up to more than 9, what do you do?

Correct Answer: Carry the tens digit to the tens column.

Question 3:

What is the value of the '3' in the number 357?

Correct Answer: 300

Question 4:

What is 458 + 261?

Correct Answer: 629

Question 5:

What place value do you start with when adding numbers?

Correct Answer: Ones place

Question 6:

Which of these shows correct regrouping of 15?

Correct Answer: 5 in the ones, 1 in the tens

Question 7:

What is 500 + 250 + 50?

Correct Answer: 800

Question 8:

When you regroup, you're moving a group of ten to the next _____ place.

Correct Answer: Bigger

Question 9:

What is 111 + 111 + 111?

Correct Answer: 333

Question 10:

What is the answer to an addition problem called?

Correct Answer: Sum

Fill in the Blank Questions

Question 1:

When adding 234 + 128, you start by adding the _______ place.

Correct Answer: ones

Question 2:

If you have 11 tens, you can regroup it as 1 ________ and 1 ten.

Correct Answer: hundred

Question 3:

The number you 'carry' is a group of _______.

Correct Answer: ten

Question 4:

456 + 321 = _______

Correct Answer: 777

Question 5:

The value of 8 in 823 is _______.

Correct Answer: 800

Question 6:

Putting the '1' above the next column during addition is called ______.

Correct Answer: regrouping

Question 7:

10 tens make up one _______

Correct Answer: hundred

Question 8:

When adding 567 and 123, 7 + 3 = _____

Correct Answer: 10

Question 9:

If there is nothing in the ones place you add _____

Correct Answer: zero

Question 10:

10 ones make up one _______

Correct Answer: ten

Educational Standards

4.N.2.2:Multiply 3-digit by 1-digit and 2-digit by 2-digit whole numbers, using various strategies, including but not limited to standard algorithms. 4.N.2.4:Apply and analyze models to solve multi-step problems requiring the use of addition, subtraction, and multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of appropriate technology, and the context of the problem to assess the reasonableness of results. 4.N.1.2:Use place value to describe whole numbers between 1,000 and 1,000,000 in terms of millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones with written, standard, and expanded forms.

Teaching Materials

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