Long Multiplication

Table Of Contents

🎬 Math Angel Video: Long Multiplication Explained

How to Do Long Multiplication Step by Step?

Long multiplication of 352 by 24 showing step-by-step partial products and final answer 8448.

⏩️ (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)?

Long multiplication of 67 by 52 broken into steps, showing partial products and final answer 3484.

⏩️ (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:
    $67 \times 52 = 3484$

🍪 Quiz: Long Multiplication Practice Questions

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Long Multiplication

1 / 6

Q: $23 \times 18 = ?$

2 / 6

Q: $52 \times 15 = ?$

3 / 6

Q: $36 \times 24 = ?$

4 / 6

Q: $19 \times 47 = ?$

5 / 6

Q: $103 \times 26 = ?$

6 / 6

Q: $263 \times 35 = ?$

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