Multiplying Numbers | Elementary

Concept sheet | Mathematics

What is multiplication?

Definition

Multiplication is an operation that makes it possible to repeat a number or a quantity of objects several times.

In multiplication, the multiplied numbers are called factors. The result of a multiplication is called the product.

Example
In the multiplication statement 11 times 120 equals 1320, 11 and 120 are the factors. 1320 is the product.

Exercise

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How to do column multiplication?

Rule
  1. I write the numbers one below the other, aligning the digits according to their place value. The smaller number should be written at the bottom.
  2. I multiply  the digit in the ones position of the bottom number by each of the digits in the top number.
  3. I write 0 in the ones place under the result.
  4. I multiply the number in the tens position of the bottom number by each of the digits in the top number.
  5. I add the 2 results written below the line to get the final product.
Example

35 × 162 = ?

  1. I write the numbers one below the other, aligning the digits according to their place value. The smaller number should be written at the bottom.

I write the number 35 at the bottom since it is smaller than 162.

Multiply 35 by 162 using the column method - step 1 of 5
  1. I multiply the digit in the ones place of the bottom number by each of the digits in the top number.
Multiply 35 by 162 using the column method - step 2 of 5
  1. I write 0 in the ones place under the result.
Multiply 35 by 162 using the column method - step 3 of 5
  1. I multiply the digit in the tens position of the number below by each of the digits in the number above.
Multiply 35 by 162 using the column method - step 4 of 5
  1. I add the two results written below the line to get the final product.
Multiply 35 by 162 using the column method - step 5 of 5

35 × 162 = 5 670

Video

Multiplying Numbers (Grade 5 - 6)

Multiplying Numbers (Grade 5 - 6)

Exercise

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