Long Multiplication

🎬 Video: Long Multiplication Explained

How to Do Long Multiplication Step by Step? (0:01)

Long multiplication is a method for multiplying large numbers by breaking the calculation into smaller steps.

You multiply each digit of one number by each digit of the other, and then add the results together.


🌟 Let’s calculate 352 × 24 using long multiplication:

  • Step 1: Line up the numbers
    Put the larger number (352) on top and the smaller number (24) underneath.

  • Step 2: Multiply by the ones digit (4 in 24)
    $352 \times 4 = 1408$
    Write this as the first row.

  • Step 3: Multiply by the tens digit (2 in 24 = 20)
    $352×20=7040$

  • Step 4: Add the two results together
    $1408+7040=8448$

  • Final Answer:
    $352×24=8448$


✅ Exam Tip: Always line up your digits carefully and don’t forget the zero placeholder for tens and hundreds.

How Do You Do Long Multiplication (Example)? (2:10)

🌟 Let’s calculate 352 × 24 using long multiplication:

  • Step 1: Line up the numbers
    Put the larger number (67) on top and the smaller number (52) underneath.

  • Step 2: Multiply by the ones digit (2 in 52)
    $67 \times 2 = 134$
    Write this in the first row.

  • Step 3: Multiply by the tens digit (5 in 52 = 50)
    $67 \times 50 = 3350$
    Write this in the second row.

  • Step 4: Add both rows
    $134 + 3350 = 3484$

  • Final Answer:
    $67 \times 52 = 3484$

📂 Flashcards: Long Multiplication Method and Examples

🍪 Quiz: Long Multiplication Practice Questions

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