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.
ScanSolve AI Answer
Welcome back — been a while! Let's pick up where you left off. Practice 1 1. Fill in the blanks: a) Step 1: Multiply 25.12 by 10. 25.12 × 10 = 251.2 The blank is 251.2. b) Step 1: Let the blank be x. The equation is x × 100 = 546.2. Step 2: Divide 546.2 by 100. x = (546.2)/(100) = 5.462 The blank is 5.462. c) Step 1: Let the blank be y. The equation is y × 1000 = 508.2. Step 2: Divide 508.2 by 1000. y = (508.2)/(1000) = 0.5082 The blank is 0.5082. d) Step 1: Multiply 0.0045 by 10,000. 0.0045 × 10,000 = 45 The blank is 45. 2. Multiply: a) Step 1: Multiply 812.4 by 4. 812.4 × 4 = 3249.6 The product is 3249.6. b) Step 1: Multiply 91.06 by 9. 91.06 × 9 = 819.54 The product is 819.54. c) Step 1: Multiply 52.43 by 5. 52.43 × 5 = 262.15 The product is 262.15. d) Step 1: Multiply 2.88 by 3. 2.88 × 3 = 8.64 The product is 8.64. 3. Multiply: a) Step 1: Multiply 279.8 by 5.4. 279.8 × 5.4 = 1510.92 The product is 1510.92. b) Step 1: Multiply 60.76 by 70.2. 60.76 × 70.2 = 4265.752 The product is 4265.752. c) Step 1: Multiply 65.74 by 7.81. 65.74 × 7.81 = 513.4094 The product is 513.4094. d) Step 1: Multiply 325.3 by 0.1. 325.3 × 0.1 = 32.53 The product is 32.53. 4. Step 1: Find the total weight of 15 coins. Weight of one coin = 5.25 grams Number of coins = 15 Total weight = 5.25 g × 15 5.25 × 15 = 78.75 15 such coins will weigh 78.75 grams. 5. Step 1: Calculate the total cost of biscuits. Cost of 1 kg biscuits = ₹162 Quantity bought = 1.25 kg Total cost = ₹162 × 1.25 162 × 1.25 = 202.50 Charles spent ₹202.50 on biscuits. A healthier snack item is fruit (e.g., an apple or banana). 6. Step 1: Calculate the total cost of the hose pipe. Cost per metre of hose pipe = ₹35.50 Length of hose pipe needed = 8.35 metres Total cost = ₹35.50 × 8.35 35.50 × 8.35 = 296.925 The cost of 8.35 metres length of hose pipe is ₹296.925. It is important to save water because it is a finite natural resource essential for all life, and conserving it helps maintain ecosystems and ensures availability for future generations. Send me the next one 📸