Multi-Digit Addition and Subtraction Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Multi-Digit Addition and Subtraction.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
Adding and subtracting numbers with three or more digits using the standard algorithm, which involves regrouping (carrying) in addition and borrowing in subtraction.
Imagine stacking blocks in columns for ones, tens, and hundreds. When the ones column adds up to more than 9, you bundle 10 ones into 1 ten and carry it over—just like exchanging 10 pennies for a dime.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Work column by column from right to left, regrouping whenever a column sum exceeds 9 or a column difference goes below 0.
Common stuck point: Keeping track of carried or borrowed values, especially with multiple consecutive regroupings (e.g., 1000 - 1).
Sense of Study hint: Write the problem vertically and line up the ones, tens, and hundreds columns before you start computing.
Worked Examples
Example 1
easySolution
- 1 Line up by place value: ones: \(7+6=13\), write 3, carry 1.
- 2 Tens: \(4+5+1=10\), write 0, carry 1.
- 3 Hundreds: \(3+2+1=6\).
- 4 Result: 603.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.