This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions for your conversion problems: 1) Convert metres to centimetres To convert metres to centimetres, multiply the value in metres by 100. a) Convert 5 m to centimetres. 5 m = 5 × 100 cm = 500 cm Student's answer: 300 cm. ❌ Incorrect. b) Convert 10 m to centimetres. 10 m = 10 × 100 cm = 1000 cm Student's answer: 100 cm. ❌ Incorrect. c) Convert 13 m to centimetres. 13 m = 13 × 100 cm = 1300 cm Student's answer: 130 cm. ❌ Incorrect. d) Convert 32 m to centimetres. 32 m = 32 × 100 cm = 3200 cm Student's answer: 320 cm. ❌ Incorrect. e) Convert 45 m to centimetres. 45 m = 45 × 100 cm = 4500 cm Student's answer: 450 cm. ❌ Incorrect. f) Convert 50 m to centimetres. 50 m = 50 × 100 cm = 5000 cm Student's answer: 500 cm. ❌ Incorrect. g) Convert 45 (1)/(4) m to centimetres. 45 (1)/(4) m = 45.25 m 45.25 m = 45.25 × 100 cm = 4525 cm Student's answer: 450 cm. ❌ Incorrect. h) Convert 27 (1)/(2) m to centimetres. 27 (1)/(2) m = 27.5 m 27.5 m = 27.5 × 100 cm = 2750 cm i) Convert 12 (2)/(3) m to centimetres. 12 (2)/(3) m = (38)/(3) m (38)/(3) m = (38)/(3) × 100 cm = (3800)/(3) cm = 1266 (2)/(3) cm 2) Convert centimetres to metres To convert centimetres to metres, divide the value in centimetres by 100. a) Convert 300 cm to metres. 300 cm = (300)/(100) m = 3 m Student's answer: 3 m. ✅ Correct. b) Convert 800 cm to metres. 800 cm = (800)/(100) m = 8 m Student's answer: 8 m. ✅ Correct. c) Convert 1200 cm to metres. 1200 cm = (1200)/(100) m = 12 m Student's answer: 12 m. ✅ Correct. d) Convert 1500 cm to metres. 1500 cm = (1500)/(100) m = 15 m Student's answer: 15 m. ✅ Correct. e) Convert 2200 cm to metres. (Assuming the question was 2200 cm to match your answer) 2200 cm = (2200)/(100) m = 22 m Student's answer: 22 m. ✅ Correct. f) Convert 5000 cm to metres. 5000 cm = (5000)/(100) m = 50 m Student's answer: 50 m. ✅ Correct. g) Convert 1725 cm to metres. 1725 cm = (1725)/(100) m = 17 (25)/(100) m = 17 (1)/(4) m h) Convert 3250 cm to metres. 3250 cm = (3250)/(100) m = 32 (50)/(100) m = 32 (1)/(2) m i) Convert 44775 cm to metres. 44775 cm = (44775)/(100) m = 447 (75)/(100) m = 447 (3)/(4) m 3) Complete a) Convert 9 m to centimetres. 9 m = 9 × 100 cm = 900 cm Student's answer: 900 cm. ✅ Correct. b) Convert 18 m to centimetres. 18 m = 18 × 100 cm = 1800 cm Student's answer: 1800 cm. ✅ Correct. c) Convert 1300 cm to metres. 1300 cm = (1300)/(100) m = 13 m Student's answer: 13 m. ✅ Correct. d) Complete 2905 cm = ___ m ___ cm. 2905 cm = 2900 cm + 5 cm = (2900)/(100) m + 5 cm = 29 m 5 cm e) Complete 4308 cm = ___ m ___ cm. 4308 cm = 4300 cm + 8 cm = (4300)/(100) m + 8 cm = 43 m 8 cm f) Complete 2331 cm = ___ m ___ cm. 2331 cm = 2300 cm + 31 cm = (2300)/(100) m + 31 cm = 23 m 31 cm g) Convert 123 cm to metres, leaving the answer in fraction form. 123 cm = (123)/(100) m = 1 (23)/(100) m Student's answer: 1 (1)/(4) m. ❌ Incorrect. h) Convert 6450 cm to metres, leaving the answer in fraction form. 6450 cm = (6450)/(100) m = 64 (50)/(100) m = 64 (1)/(2) m Student's answer: 64 (1)/(4) m. ❌ Incorrect. What's next? Send 'em! 📸