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Exploring Multiplication: Using Russian peasant multiplication
1. Exploring Multiplication: Using Russian Peasant Multiplication
Objective: To explore multiplication using doubling and halving skills
Materials Required: Paper and pencils
Steps:
• To solve: 28 × 34
1. One student draws column A and other student draws column B. We can call column A
‘half’ and column B ‘doubles’.
2. Each student then writes the factors as shown. The number in column A is halved and
the one in column B is doubled repeatedly. When you have to half an odd number, ignore
the remainder. Both students stop when 1 is reached in column A. Cancel all the even
numbers from column A and its pair in column B.
2. 3. Next, add the numbers that are not cancelled from column B only. That gives the product.
To solve 28 × 34
A B
Half
14
7
3
1
Double
68
136
272
544
136 + 272 + 544 = 952
Exploring Multiplication: Using Russian Peasant Multiplication
3. Exploring Multiplication: Using Russian Peasant Multiplication
• To solve: 12 × 28
To solve 12 × 28
A B
Half
6
3
1
Double
56
112
224
112 + 224 = 336
4. Exploring Multiplication: Using Russian Peasant Multiplication
Try me: Now try the following multiplication using Russian peasant multiplication:
68 × 13
45 × 24
67 × 56
