Adding Three-Digit Numbers with Regrouping: Become a Math Master!

Mathematics Grades 4th Grade 3:04 Video
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Lesson Description

Learn how to add three-digit numbers with regrouping (carrying over) using place value. Understand what regrouping really means and practice with fun examples!

Video Resource

Adding three digit numbers with regrouping | Addition and subtraction | Arithmetic | Khan Academy

Khan Academy

Duration: 3:04
Watch on YouTube

Key Concepts

  • Place Value (Ones, Tens, Hundreds)
  • Regrouping (Carrying Over)
  • Addition of Multi-Digit Numbers

Learning Objectives

  • Students will be able to add three-digit numbers with regrouping accurately.
  • Students will understand the concept of regrouping in terms of place value.
  • Students will be able to explain why regrouping works.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing place value (ones, tens, hundreds). Ask students what happens when a column adds up to more than 9. Introduce the term 'regrouping' (previously known as carrying).
  • Video Viewing (10 mins)
    Play the Khan Academy video: 'Adding three digit numbers with regrouping'. Instruct students to pay attention to how the narrator explains the regrouping process and connects it to place value.
  • Guided Practice (15 mins)
    Work through the example problems from the video on the board, explaining each step clearly. Emphasize the meaning of regrouping (e.g., '9 + 6 = 15. We write the 5 in the ones place and carry the 1 to the tens place because 15 is 1 ten and 5 ones').
  • Independent Practice (15 mins)
    Provide students with practice problems involving adding three-digit numbers with regrouping. Circulate to provide assistance and answer questions.
  • Wrap-up (5 mins)
    Review the key concepts and answer any remaining questions. Preview the next lesson.

Interactive Exercises

  • Place Value Chart Addition
    Use a place value chart to visually represent the addition process. Students can use manipulatives (base ten blocks) to physically regroup the numbers.
  • Online Addition Games
    Utilize online resources and games that focus on adding multi-digit numbers with regrouping (e.g., Khan Academy exercises).

Discussion Questions

  • What is 'regrouping,' and why do we do it?
  • How does place value help us when we add numbers?
  • Can you think of a real-life situation where you might need to add three-digit numbers?

Skills Developed

  • Addition with Regrouping
  • Understanding Place Value
  • Problem-Solving

Multiple Choice Questions

Question 1:

What does it mean to 'regroup' in addition?

Correct Answer: To move tens, hundreds, or thousands to the next column

Question 2:

What is the first step when adding 345 + 126?

Correct Answer: Add the ones

Question 3:

If you add 7 + 8, what do you need to do?

Correct Answer: Regroup

Question 4:

In the number 456, what digit is in the tens place?

Correct Answer: 5

Question 5:

When you regroup, what are you moving?

Correct Answer: Tens

Question 6:

What is 10 tens equal to?

Correct Answer: 100

Question 7:

What do you do if you get a sum of 13 in the ones place?

Correct Answer: Write down 3 and carry the 1

Question 8:

In the problem 123 + 456, which numbers do you add first?

Correct Answer: 3 + 6

Question 9:

What happens when the numbers in a column add up to more than 9?

Correct Answer: You regroup

Question 10:

If you added 1 to the hundreds column what did you do?

Correct Answer: Carrying

Fill in the Blank Questions

Question 1:

When we add, we start with the ______ place.

Correct Answer: ones

Question 2:

Regrouping is also known as ______.

Correct Answer: carrying

Question 3:

10 tens is the same as ______ hundred.

Correct Answer: one

Question 4:

In the number 234, the 2 is in the ______ place.

Correct Answer: hundreds

Question 5:

When adding 45 + 67, you need to ______.

Correct Answer: regroup

Question 6:

We regroup when the numbers add up to more than ______.

Correct Answer: 9

Question 7:

100 is the same as ______ tens.

Correct Answer: ten

Question 8:

When adding 144 + 254, you start by adding the ________.

Correct Answer: ones

Question 9:

If 8 + 5 = 13, we write down the 3 and carry the ______.

Correct Answer: 1

Question 10:

The place to the left of the ones place is the _______ place.

Correct Answer: tens

Educational Standards

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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