STEM Excellence Series: Empowering the Next Generation

REGROUPING

Regrouping

Definition Of Regrouping

Regrouping is reorganizing the formation of the group

More about Regrouping

Regrouping is used to assist while performing addition and subtraction

Example of Regrouping

Subtract 9 from 25.

   Example of Regrouping
To subtract 9 from 25, we first arrange the blocks and then divide one of the tens blocks in ten unit blocks

Video Examples: Regrouping Whole Numbers

Example on Reflex Angle

The filled blocks are 9 as they are to be subtracted.

When subtracted 9 from 25 we are left with 16. That is,

           

Solved Example on Solved Example on Regrouping

Ques: Mathew collected 120 postal stamps. He gave 13 to his friend. How many stamps was he left with?

Choices:

A. 97
B. 117
C. 87
D. 107
Correct Answer: D

Solution:

Step 1: Number of stamps Mathew collected = 120
Step 2: Number of stamps Mathew gave to his friend = 13
Step 3: Number of stamps left = Number of stamps collected - Number of stamps given to his friend
 
Step 4: Therefore, Mathew was left with 107 stamps.

Quick Summary

  • Regrouping helps in subtracting when the digit being subtracted is larger than the digit it's being subtracted from.
  • Regrouping involves borrowing from the next higher place value (e.g., borrowing from the tens place to add to the ones place).
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🍎 Teacher Insights

Use visual aids like base-ten blocks to demonstrate the concept of regrouping. Emphasize the importance of place value understanding.

🎓 Prerequisites

  • Place Value
  • Basic Addition
  • Basic Subtraction

Check Your Knowledge

Q1: What is 25 - 9 after regrouping?

Q2: Mathew collected 120 postal stamps. He gave 13 to his friend. How many stamps was he left with?

Frequently Asked Questions

Q: When do I need to regroup?
A: You need to regroup when the digit you are subtracting is larger than the digit you are subtracting from, or when the sum of digits in a place value is greater than 9.

Q: What does it mean to borrow?
A: Borrowing means taking a value from the next higher place value and adding it to the current place value to make subtraction possible.

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