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Regrouping Place Values of Multi-Digits

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3rd Grade Math
22. 3.MD.C.7
22.3 Regrouping Place Values of Multi-Digits

Regrouping Place Values of Multi-Digit Numbers

Discover how regrouping in mathematics lets you carry and borrow between ones, tens, hundreds, and beyond when adding or subtracting multi-digit numbers.


What You'll Learn

Recognize that regrouping means trading ten units of one place value for one unit of the next place value
Apply carrying in addition when a column total is 10 or more, such as \( 8 + 6 = 14 \)
Apply borrowing in subtraction when the top digit is smaller than the bottom digit in a column
Track regrouped amounts across ones, tens, hundreds, and thousands in a place value chart
Check answers by comparing the regrouped result back to the original expanded form of each number

What You'll Practice

1

Regrouping numbers by trading between hundreds, tens, and ones places

2

Filling in missing values after regrouping operations

3

Converting numbers into different place value combinations

Why This Matters

Regrouping place values is essential for mastering addition and subtraction with borrowing and carrying. This skill builds your number sense and prepares you for multi-digit operations, mental math strategies, and understanding how our number system works.

This Unit Includes

Practice exercises
Learning resources

Skills

Place Value
Regrouping
Number Sense
Multi-Digit Numbers
Base Ten
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