Английский язык · 5 класс Задача №3541555
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Here is a detailed, step-by-step solution (Grade 5 level, in English):
Problem: 3302 × 200
Method 1: Using distributive property (200 = 2 × 100)
- Step 1: Multiply by 2: 3302 × 2 = 6604
- Step 2: Multiply by 100 (add two zeros): 6604 × 100 = 660400
- Answer: 660,400
Why this works:
- 200 is the same as 2 × 100, so you can first double the number, then shift it two places to the left (add two zeros), which is the same as multiplying by 100.
Method 2: Quick reasoning with zeros (place value)
- 200 has two zeros, so multiplying by 200 is like multiplying by 2 and then adding two zeros.
- 3302 × 2 = 6604; add two zeros → 660400.
- Answer: 660,400
Estimate check:
- 3300 × 200 = 660,000
- 2 × 200 = 400
- Sum: 660,000 + 400 = 660,400 (matches)
Final answer: 660400