1. Problem: Find the product of 7.54 and 3.6. 2. Formula: To multiply decimals, multiply as if they were whole numbers, then place the decimal point in the product. The number of decimal places in the product is the sum of the decimal places in the factors. 3. Calculation: - 7.54 has 2 decimal places. - 3.6 has 1 decimal place. - Multiply 754 by 36: $$754 \times 36 = 27144$$ - Total decimal places: 2 + 1 = 3 - Place decimal point 3 places from the right: $$27.144$$ 4. Answer: The product of 7.54 and 3.6 is **27.144**. 5. Problem: Find the product of 23.5 and 0.28. 6. Calculation: - 23.5 has 1 decimal place. - 0.28 has 2 decimal places. - Multiply 235 by 28: $$235 \times 28 = 6580$$ - Total decimal places: 1 + 2 = 3 - Place decimal point 3 places from the right: $$6.580$$ 7. Answer: The product of 23.5 and 0.28 is **6.58**. 8. Problem: Find the product of 56.49 and 0.47. 9. Calculation: - 56.49 has 2 decimal places. - 0.47 has 2 decimal places. - Multiply 5649 by 47: $$5649 \times 47 = 265503$$ - Total decimal places: 2 + 2 = 4 - Place decimal point 4 places from the right: $$26.5503$$ 10. Answer: The product of 56.49 and 0.47 is **26.5503**. 11. Problem: Find the product of 0.46 and 5. 12. Calculation: - 0.46 has 2 decimal places. - 5 has 0 decimal places. - Multiply 46 by 5: $$46 \times 5 = 230$$ - Total decimal places: 2 + 0 = 2 - Place decimal point 2 places from the right: $$2.30$$ 13. Answer: The product of 0.46 and 5 is **2.3**. 14. Problem: Find the product of 3.729 and 0.9. 15. Calculation: - 3.729 has 3 decimal places. - 0.9 has 1 decimal place. - Multiply 3729 by 9: $$3729 \times 9 = 33561$$ - Total decimal places: 3 + 1 = 4 - Place decimal point 4 places from the right: $$3.3561$$ 16. Answer: The product of 3.729 and 0.9 is **3.3561**. 17. Problem: Find the product of 7.08 and 42. 18. Calculation: - 7.08 has 2 decimal places. - 42 has 0 decimal places. - Multiply 708 by 42: $$708 \times 42 = 29736$$ - Total decimal places: 2 + 0 = 2 - Place decimal point 2 places from the right: $$297.36$$ 19. Answer: The product of 7.08 and 42 is **297.36**. 20. Problem: Find the product of 3.46 and 0.58. 21. Calculation: - 3.46 has 2 decimal places. - 0.58 has 2 decimal places. - Multiply 346 by 58: $$346 \times 58 = 20068$$ - Total decimal places: 2 + 2 = 4 - Place decimal point 4 places from the right: $$2.0068$$ 22. Answer: The product of 3.46 and 0.58 is **2.0068**. 23. Problem: Find the product of 0.78 and 3.5. 24. Calculation: - 0.78 has 2 decimal places. - 3.5 has 1 decimal place. - Multiply 78 by 35: $$78 \times 35 = 2730$$ - Total decimal places: 2 + 1 = 3 - Place decimal point 3 places from the right: $$2.730$$ 25. Answer: The product of 0.78 and 3.5 is **2.73**. 26. Problem: Find the product of 9.36 and 0.43. 27. Calculation: - 9.36 has 2 decimal places. - 0.43 has 2 decimal places. - Multiply 936 by 43: $$936 \times 43 = 40248$$ - Total decimal places: 2 + 2 = 4 - Place decimal point 4 places from the right: $$4.0248$$ 28. Answer: The product of 9.36 and 0.43 is **4.0248**. 29. Problem: Find the product of 51.43 and 5.9. 30. Calculation: - 51.43 has 2 decimal places. - 5.9 has 1 decimal place. - Multiply 5143 by 59: $$5143 \times 59 = 303437$$ - Total decimal places: 2 + 1 = 3 - Place decimal point 3 places from the right: $$303.437$$ 31. Answer: The product of 51.43 and 5.9 is **303.437**.