Grade 4 Multiplication: 2-Digit by 2-Digit

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   57 × 38 = ?

   1. Use partial products (area model) method.
   2. Break by place value: 57 = 50 + 7 and 38 = 30 + 8.
   3. 50 × 30 = 1500
   4. 50 × 8 = 400
   5. 7 × 30 = 210
   6. 7 × 8 = 56
   7. Add all partial products: 1500 + 400 + 210 + 56 = 2166

   Answer: 2166

2. Example 2

   88 × 27 = ?

   1. Use partial products (area model) method.
   2. Break by place value: 88 = 80 + 8 and 27 = 20 + 7.
   3. 80 × 20 = 1600
   4. 80 × 7 = 560
   5. 8 × 20 = 160
   6. 8 × 7 = 56
   7. Add all partial products: 1600 + 560 + 160 + 56 = 2376

   Answer: 2376

3. Example 3

   84 × 61 = ?

   1. Use partial products (area model) method.
   2. Break by place value: 84 = 80 + 4 and 61 = 60 + 1.
   3. 80 × 60 = 4800
   4. 80 × 1 = 80
   5. 4 × 60 = 240
   6. 4 × 1 = 4
   7. Add all partial products: 4800 + 80 + 240 + 4 = 5124

   Answer: 5124