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 to your questions. Section A: Basic Conversions 1. Convert 5.6 km to metres. Step 1: Recall the conversion factor for kilometers to meters. 1 km = 1000 m Step 2: Multiply the given value by the conversion factor. 5.6 km × 1000 mkm = 5600 m The converted value is 5600 m. 2. Convert 2500 mL to Liters. Step 1: Recall the conversion factor for milliliters to liters. 1 L = 1000 mL Step 2: Divide the given value by the conversion factor. 2500 mL ÷ 1000 mLL = 2.5 L The converted value is 2.5 L. 3. Convert 3.5 hours to seconds. Step 1: Recall the conversion factors for hours to minutes and minutes to seconds. 1 hour = 60 minutes 1 minute = 60 seconds Step 2: Multiply the given hours by the conversion factors. 3.5 hours × 60 minuteshour × 60 secondsminute = 12600 seconds The converted value is 12600 seconds. 4. Convert 7800 m to kilometres. Step 1: Recall the conversion factor for meters to kilometers. 1 km = 1000 m Step 2: Divide the given value by the conversion factor. 7800 m ÷ 1000 mkm = 7.8 km The converted value is 7.8 km. 5. Convert 2.4 kg to grams. Step 1: Recall the conversion factor for kilograms to grams. 1 kg = 1000 g Step 2: Multiply the given value by the conversion factor. 2.4 kg × 1000 gkg = 2400 g The converted value is 2400 g. 6. Convert 25 days to seconds. Step 1: Recall the conversion factors for days to hours, hours to minutes, and minutes to seconds. 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds Step 2: Multiply the given days by the conversion factors. 25 days × 24 hoursday × 60 minuteshour × 60 secondsminute = 2160000 seconds The converted value is 2160000 seconds. Section B: Area & Volume 1. A classroom is 8 m long and 5 m wide. Find the area in cm^2. Step 1: Convert the length and width from meters to centimeters. 1 m = 100 cm Length = 8 m × 100 cmm = 800 cm Width = 5 m × 100 cmm = 500 cm Step 2: Calculate the area using the formula for the area of a rectangle. Area = Length × Width Area = 800 cm × 500 cm = 400000 cm^2 The area of the classroom is 400000 cm^2. 2. A water tank holds 0.75 m^3 of water. Convert this to Liters. Hint: 1 m^3 = 1000 L. Step 1: Use the given conversion factor for cubic meters to liters. 1 m^3 = 1000 L Step 2: Multiply the given volume by the conversion factor. 0.75 m^3 × 1000 Lm^3 = 750 L The volume in Liters is 750 L. Drop the next question! 📸