Box multiplication

keynotes :

🔹 What is Box Multiplication?

Box multiplication is a method of multiplying numbers by breaking them into place values and arranging them in a box/grid.
It helps to see how each part of the numbers multiplies and then adds together to get the final answer.

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🔹 Steps of Box Multiplication:

• Break the numbers into place values (tens, ones, hundreds, etc.).
• Draw a box/grid and write one number across the top and the other down the side.
• Multiply each part and write the product in the correct box.
• Add all the products together to get the final answer.

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🔹 Example 1: Multiply 23 × 45

Step 1: Break numbers

• 23 = 20 + 3
• 45 = 40 + 5

Step 2: Draw the box

	20	3
40	800	120
5	100	15

Step 3: Add all products
800 + 120 + 100 + 15 = 1035

✅ Answer: 23 × 45 = 1035

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🔹 Example 2: Multiply 326 × 14

Step 1: Break numbers

• 326 = 300 + 20 + 6
• 14 = 10 + 4

Step 2: Draw the box

	300	20	6
10	3000	200	60
4	1200	80	24

Step 3: Add all products
3000 + 200 + 60 + 1200 + 80 + 24 = 4564

✅ Answer: 326 × 14 = 4564

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🔹 Key Points to Remember:

• Always break numbers into place values.
• Keep numbers neatly in the box to avoid mistakes.
• Finally, add all partial products to get the final result.
• This method makes multiplication easier and more organized.

Learn with an example

Let’s practice!