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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.
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
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
Exploring Multiplication: Using Russian Peasant Multiplication
Try me: Now try the following multiplication using Russian peasant multiplication:
 68 × 13
 45 × 24
 67 × 56

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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