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Convert the following. Show working to gain full marks2 marks each Convert 5.6 km to metres Convert 2500 mL to Liters Convert 3.5 hours to seconds Convert 7 800m to kilometres Convert 2.4 kg to grams Convert 25 days to seconds
Mathematics
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Section A: Basic Conversions
- Convert to metres.
Recall the conversion factor for kilometers to meters.
$$ 1 \text{ km} = 1000 \text{ m} $$Multiply the given value by the conversion factor.
$$ 5.6 \text{ km} \times 1000 \frac{\text{m}}{\text{km}} = 5600 \text{ m} $$ The converted value is $\boxed{\textbf{5600 m}}$.2. Convert to Liters.
Recall the conversion factor for milliliters to liters.
$$ 1 \text{ L} = 1000 \text{ mL} $$Divide the given value by the conversion factor.
$$ 2500 \text{ mL} \div 1000 \frac{\text{mL}}{\text{L}} = 2.5 \text{ L} $$ The converted value is $\boxed{\textbf{2.5 L}}$.3. Convert to seconds.
Recall the conversion factors for hours to minutes and minutes to seconds.
$$ 1 \text{ hour} = 60 \text{ minutes} $$ $$ 1 \text{ minute} = 60 \text{ seconds} $$Multiply the given hours by the conversion factors.
$$ 3.5 \text{ hours} \times 60 \frac{\text{minutes}}{\text{hour}} \times 60 \frac{\text{seconds}}{\text{minute}} = 12600 \text{ seconds} $$ The converted value is $\boxed{\textbf{12600 seconds}}$.4. Convert to kilometres.
Recall the conversion factor for meters to kilometers.
$$ 1 \text{ km} = 1000 \text{ m} $$Divide the given value by the conversion factor.
$$ 7800 \text{ m} \div 1000 \frac{\text{m}}{\text{km}} = 7.8 \text{ km} $$ The converted value is $\boxed{\textbf{7.8 km}}$.5. Convert to grams.
Recall the conversion factor for kilograms to grams.
$$ 1 \text{ kg} = 1000 \text{ g} $$Multiply the given value by the conversion factor.
$$ 2.4 \text{ kg} \times 1000 \frac{\text{g}}{\text{kg}} = 2400 \text{ g} $$ The converted value is $\boxed{\textbf{2400 g}}$.6. Convert to seconds.
Recall the conversion factors for days to hours, hours to minutes, and minutes to seconds.
$$ 1 \text{ day} = 24 \text{ hours} $$ $$ 1 \text{ hour} = 60 \text{ minutes} $$ $$ 1 \text{ minute} = 60 \text{ seconds} $$Multiply the given days by the conversion factors.
$$ 25 \text{ days} \times 24 \frac{\text{hours}}{\text{day}} \times 60 \frac{\text{minutes}}{\text{hour}} \times 60 \frac{\text{seconds}}{\text{minute}} = 2160000 \text{ seconds} $$ The converted value is $\boxed{\textbf{2160000 seconds}}$.Section B: Area & Volume
- A classroom is long and wide. Find the area in .
Convert the length and width from meters to centimeters.
$$ 1 \text{ m} = 100 \text{ cm} $$ $$ \text{Length} = 8 \text{ m} \times 100 \frac{\text{cm}}{\text{m}} = 800 \text{ cm} $$ $$ \text{Width} = 5 \text{ m} \times 100 \frac{\text{cm}}{\text{m}} = 500 \text{ cm} $$Calculate the area using the formula for the area of a rectangle.
$$ \text{Area} = \text{Length} \times \text{Width} $$ $$ \text{Area} = 800 \text{ cm} \times 500 \text{ cm} = 400000 \text{ cm}^2 $$ The area of the classroom is $\boxed{\textbf{400000 cm}^2}$.2. A water tank holds of water. Convert this to Liters. Hint: .
Use the given conversion factor for cubic meters to liters.
$$ 1 \text{ m}^3 = 1000 \text{ L} $$Multiply the given volume by the conversion factor.
$$ 0.75 \text{ m}^3 \times 1000 \frac{\text{L}}{\text{m}^3} = 750 \text{ L} $$ The volume in Liters is $\boxed{\textbf{750 L}}$.
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