I'll solve each problem step by step, carefully checking my calculations.
When multiplying decimals by 10, 100, or 1,000, I need to move the decimal point:
- Multiply by 10: move decimal 1 place to the right
- Multiply by 100: move decimal 2 places to the right
- Multiply by 1,000: move decimal 3 places to the right
Let me work through each problem:
Problem 1: 16.02 × 1,000
Move decimal 3 places right: 16.02 → 160.2 → 1,602 → 16,020
Answer: 16,020
Problem 2: 8.3 × 100
Move decimal 2 places right: 8.3 → 83 → 830
Answer: 830
Problem 3: 98.4 × 10
Move decimal 1 place right: 98.4 → 984
Answer: 984
Problem 4: 0.06 × 1,000
Move decimal 3 places right: 0.06 → 0.6 → 6 → 60
Answer: 60
Problem 5: 2.746 × 100
Move decimal 2 places right: 2.746 → 27.46 → 274.6
Answer: 274.6
Problem 6: 4.4567 × 10
Move decimal 1 place right: 4.4567 → 44.567
Answer: 44.567
Problem 7: 1.93 × 1,000
Move decimal 3 places right: 1.93 → 19.3 → 193 → 1,930
Answer: 1,930
Problem 8: 7.01 × 100
Move decimal 2 places right: 7.01 → 70.1 → 701
Answer: 701
Problem 9: 6.36 × 10
Move decimal 1 place right: 6.36 → 63.6
Answer: 63.6
Problem 10: 85.3 × 1,000
Move decimal 3 places right: 85.3 → 853 → 8,530 → 85,300
Answer: 85,300
Problem 11: 0.4958 × 100
Move decimal 2 places right: 0.4958 → 4.958 → 49.58
Answer: 49.58
Problem 12: 5.949 × 10
Move decimal 1 place right: 5.949 → 59.49
Answer: 59.49
Problem 13: 3.4 × 10
Move decimal 1 place right: 3.4 → 34
Answer: 34
Problem 14: 7.85 × 1,000
Move decimal 3 places right: 7.85 → 78.5 → 785 → 7,850
Answer: 7,850
Final Answer:
1) 16,020
2) 830
3) 984
4) 60
5) 274.6
6) 44.567
7) 1,930
8) 701
9) 63.6
10) 85,300
11) 49.58
12) 59.49
13) 34
14) 7,850
Parent Tip: Review the logic above to help your child master the concept of multiply decimals worksheet.