Russian peasant multiplication
The Russian peasant multiplication, also called the Russian peasant algorithm, uses a halving and doubling method to multiply whole numbers
I will illustrate the method with two good examples that you should study carefully.
When halving, disregard any remainder. Just put the quotient in the halving column
When the number in the halving column is 1, cross out all rows that have an even number in the halving column
the answer is found by adding the remaining numbers in the doubling column
Example # 1:
11 × 12
Halving Doubling
11 × 12
5 × 24
2 × 48
1 × 96
The sum is 12 + 24 + 96 = 132
Example # 2:
37 × 42
Halving Doubling
37 × 42
18 × 84
9 × 168
4 × 336
2 × 672
1 × 1344
The sum is 42 + 168 + 1344 = 1554
Your turn! try a few multiplication using the Russian peasant multiplication
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