Grade 4 Multiplication: Challenge Problems

Worked examples

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

1. Example 1

   92 × 65 = ?

   1. Use partial products (area model) method.
   2. Break by place value: 92 = 90 + 2 and 65 = 60 + 5.
   3. 90 × 60 = 5400
   4. 90 × 5 = 450
   5. 2 × 60 = 120
   6. 2 × 5 = 10
   7. Add all partial products: 5400 + 450 + 120 + 10 = 5980

   Answer: 5980

2. Example 2

   6062 × 7 = ?

   1. Break apart 6062 by place value: 6062 = 6000 + 60 + 2.
   2. 6000 × 7 = 42000
   3. 60 × 7 = 420
   4. 2 × 7 = 14
   5. Add all parts: 42000 + 420 + 14 = 42434

   Answer: 42434

3. Example 3

   5404 × 7 = ?

   1. Break apart 5404 by place value: 5404 = 5000 + 400 + 4.
   2. 5000 × 7 = 35000
   3. 400 × 7 = 2800
   4. 4 × 7 = 28
   5. Add all parts: 35000 + 2800 + 28 = 37828

   Answer: 37828