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Mathematics
Primaire 5 • March 17, 2025
My question is that imagine if 33.45 times 45. 67 you need to but an extra zero

Explanation (1)

Student Explanation
March 17, 2025
Thank you for reaching out to Alloprof! 😊 If you're multiplying 33.45 × 45.67, do you need to add an extra zero? 🤔 Actually, when multiplying decimal numbers, you don’t add a zero, but you must count the total number of decimal places. How to do it? Ignore the decimal points and multiply as if they were whole numbers: → 3345×45673345 \times 45673345×4567 Calculate the product normally. Count the total number of decimal places: 33.45 has 2 decimal places. 45.67 has 2 decimal places. In total: 2 + 2 = 4 decimal places in the final answer. Place the decimal point in the final result to make sure there are 4 decimal places. Example with a simpler calculation: If you multiply 3.2 × 4.5, first multiply 32 × 45 = 1440, then place the decimal to get 2 decimal places14.40. Conclusion: No, you don’t need to add an extra zero, but you must place the decimal point correctly at the end! 😃 Please come back if it isn't clear! Andréanne & the AlloProf team! :)