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Multi-Digit Multiplication

Overview

Building skyscrapers of numbers.

What is it?

Multiplying large numbers using the standard algorithm.

History

Requires keeping your columns perfectly straight.

Key Idea

Don't forget the 'magic zero' placeholder on the second line!

Practice This Topic

Concept Guide

Plain English: When multiplying big numbers (like 24 x 12), we multiply the top number by the Ones place, then by the Tens place. Because it's the Tens place, we put a Zero placeholder on the second line.

Real-world example: Calculating the total pixels in an image (Width x Height).

How to do it

  1. Multiply Top by Ones digit.
  2. Write answer.
  3. Put a 0 on the next line.
  4. Multiply Top by Tens digit.
  5. Add the rows.

Common Pitfall

Forgetting the 'Magic Zero' on the second row. It ruins everything.

Word Problem
"A movie theater has 24 rows. Each row has 12 seats. How many seats total?"
Reasoning: 24 x 12. 24x2=48. 24x10=240. 240+48=288 seats.

Practice Examples

Standard
24 x 12 ---- 48 (24x2) + 240 (24x10) ----- 288
Notice the 0 in 240.