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Carrying (Regrouping)

Overview

When a column gets too full.

What is it?

Moving a value to the next column when a sum exceeds 9.

History

This technique allows us to add infinite numbers on paper.

Key Idea

Write the 'tens' digit on top of the next column.

Practice This Topic

Concept Guide

Plain English: A column can only hold one digit (0-9). If you add 5 + 7 and get 12, the '1' has to move to the next house on the left.

Real-world example: You have 9 pennies. You find 2 more. You trade 10 pennies for a Dime. That's carrying.

How to do it

  1. Add the column.
  2. If answer is 10+, write the back digit below.
  3. Carry the front digit to the top of the next column.
  4. Add that carried number in the next step.

Common Pitfall

Forgetting to add the little '1' you carried over!

Word Problem
"A YouTube video had 58 views. It got 7 more. How many views now?"
Reasoning: 8+7 is 15. Write down 5, carry the 1. Then 5+1 is 6. Total: 65 views.

Practice Examples

Carrying Once
1 (carry) 38 + 45 ---- 83
8+5=13. Write 3, Carry 1.
Chain Reaction
11 99 + 2 ---- 101
9+2=11. Carry. 9+1=10.