Partial Product Method of Multiplication

Partial Products Algorithm

1) Write the two numbers that are to be multiplied in expanded form.

2) Multiply each part of the expanded form of one number (the multiplier) by each part of the expanded form of the other number (the multiplicand).

3) Add the partial products

Example
Multiply 84 and 36 using the partial products multiplication method.

1) We expand 84 and 36.

84 x 36 = (80 + 4) x (30 +6)

2) We multiply each part of the expanded form of 84, with each part of the expanded form of 36.

= (6 x 4) + (6 x 80) + (30 x 4) + (30 x 80)

= 24 + 480 + 120 + 2400

3) We then add the partial products.

= 3024




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