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Multi-digit multiplication (area model & standard algorithm)

Grade 4 · Math · Free lesson

Hi! Today we will learn how to multiply bigger numbers using boxes and step-by-step math tools.

An area model breaks a big multiplication problem into smaller, easy parts. We split numbers by place value to find small products.

numbers

Let us break 12 into 10 plus 2. Next, break 13 into 10 plus 3. We multiply the parts in four small boxes.

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After finding the four parts, add them together. 100 plus 30 plus 20 plus 6 equals 156 total.

100+ 30+ 20+ 6= 156

The standard algorithm is another fast way to multiply. We multiply ones first, then tens, and add the partial answers.

✏️ Worked example

Multiply 14 by 12 using the area model thinking skill.

  1. Break 14 into 10 + 4.
  2. Break 12 into 10 + 2.
  3. Multiply 10 x 10 to get 100.
  4. Multiply 10 x 2 to get 20, and 4 x 10 to get 40.
  5. Multiply 4 x 2 to get 8.
  6. Add all parts: 100 + 20 + 40 + 8 = 168.
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