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Ravi bought 5 kg 300 g apples and 3 kg 250 g mangoes. Suman bought 4 kg 800 g oranges and 4 kg 150 g grapes. Who bought more fruits and by how much.

Mathematics

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7. Using decimal numbers express:

a) 18 L as kilolitres

  1. Convert litres to kilolitres using the conversion factor 1 kL=1000 L1 \text{ kL} = 1000 \text{ L}.

    18 L=181000 kL18 \text{ L} = \frac{18}{1000} \text{ kL}
  2. Perform the division.

    18 L=0.018 kL18 \text{ L} = 0.018 \text{ kL}

    The answer is 0.018 kL\boxed{0.018 \text{ kL}}.

    b) 3 kL 236 L as kilolitres

  3. Convert 236 L to kilolitres.

    236 L=2361000 kL=0.236 kL236 \text{ L} = \frac{236}{1000} \text{ kL} = 0.236 \text{ kL}
  4. Add this to the existing kilolitres.

    3 kL+0.236 kL=3.236 kL3 \text{ kL} + 0.236 \text{ kL} = 3.236 \text{ kL}

    The answer is 3.236 kL\boxed{3.236 \text{ kL}}.

    8. Using decimal numbers express:

    a) 680 m in kilometres

  5. Convert metres to kilometres using the conversion factor 1 km=1000 m1 \text{ km} = 1000 \text{ m}.

    680 m=6801000 km680 \text{ m} = \frac{680}{1000} \text{ km}
  6. Perform the division.

    680 m=0.680 km680 \text{ m} = 0.680 \text{ km}

    The answer is 0.680 km\boxed{0.680 \text{ km}}.

    b) 110 km 7 m in kilometres

  7. Convert 7 m to kilometres.

    7 m=71000 km=0.007 km7 \text{ m} = \frac{7}{1000} \text{ km} = 0.007 \text{ km}
  8. Add this to the existing kilometres.

    110 km+0.007 km=110.007 km110 \text{ km} + 0.007 \text{ km} = 110.007 \text{ km}

    The answer is 110.007 km\boxed{110.007 \text{ km}}.

    9. Add:

    a) 6.75, 4.3, 2.913

  9. Align the decimal points and add the numbers.

    6.7504.300+2.91313.963\begin{align*} 6.750 \\ 4.300 \\ + 2.913 \\ \hline 13.963 \end{align*}

    The answer is 13.963\boxed{13.963}.

    b) 0.0804, 0.00026, 0.10073, 0.02065

  10. Align the decimal points and add the numbers.

    0.080400.000260.10073+0.020650.20204\begin{align*} 0.08040 \\ 0.00026 \\ 0.10073 \\ + 0.02065 \\ \hline 0.20204 \end{align*}

    The answer is 0.20204\boxed{0.20204}.

    10. Subtract:

    a) 6.896 from 17.581

  11. Perform the subtraction 17.581−6.89617.581 - 6.896.

    17.581−6.89610.685\begin{align*} 17.581 \\ - 6.896 \\ \hline 10.685 \end{align*}

    The answer is 10.685\boxed{10.685}.

    b) 0.0093 from 0.045

  12. Perform the subtraction 0.045−0.00930.045 - 0.0093.

    0.0450−0.00930.0357\begin{align*} 0.0450 \\ - 0.0093 \\ \hline 0.0357 \end{align*}

    The answer is 0.0357\boxed{0.0357}.

    11. Simplify:

    a) 4.105+2.37−5.24.105 + 2.37 - 5.2

  13. Perform the addition.

    4.105+2.37=6.4754.105 + 2.37 = 6.475
  14. Perform the subtraction.

    6.475−5.2=1.2756.475 - 5.2 = 1.275

    The answer is 1.275\boxed{1.275}.

    b) 100−3.067−33.08−21.2100 - 3.067 - 33.08 - 21.2

  15. Perform the first subtraction.

    100−3.067=96.933100 - 3.067 = 96.933
  16. Perform the next subtraction.

    96.933−33.08=63.85396.933 - 33.08 = 63.853
  17. Perform the final subtraction.

    63.853−21.2=42.65363.853 - 21.2 = 42.653

    The answer is 42.653\boxed{42.653}.

    12. Ravi bought 5 kg 300 g apples and 3 kg 250 g mangoes. Suman bought 4 kg 800 g oranges and 4 kg 150 g grapes. Who bought more fruits and by how much.

  18. Calculate the total weight of fruits Ravi bought.

    5 kg 300 g=5.300 kg5 \text{ kg } 300 \text{ g} = 5.300 \text{ kg} 3 kg 250 g=3.250 kg3 \text{ kg } 250 \text{ g} = 3.250 \text{ kg} Ravi’s total=5.300 kg+3.250 kg=8.550 kg\text{Ravi's total} = 5.300 \text{ kg} + 3.250 \text{ kg} = 8.550 \text{ kg}
  19. Calculate the total weight of fruits Suman bought.

    4 kg 800 g=4.800 kg4 \text{ kg } 800 \text{ g} = 4.800 \text{ kg} 4 kg 150 g=4.150 kg4 \text{ kg } 150 \text{ g} = 4.150 \text{ kg} Suman’s total=4.800 kg+4.150 kg=8.950 kg\text{Suman's total} = 4.800 \text{ kg} + 4.150 \text{ kg} = 8.950 \text{ kg}
  20. Compare the total weights and find the difference.

    8.950 kg>8.550 kg8.950 \text{ kg} > 8.550 \text{ kg} Difference=8.950 kg−8.550 kg=0.400 kg\text{Difference} = 8.950 \text{ kg} - 8.550 \text{ kg} = 0.400 \text{ kg}

    Suman bought more fruits by 0.400 kg0.400 \text{ kg} or 400 g400 \text{ g}.
    The answer is Suman bought more fruits by 0.400 kg\boxed{\text{Suman bought more fruits by } 0.400 \text{ kg}}.

    13. A water storage drum which is 35.54 cm long contains water to a depth of 23.5 cm. How far is the water level below the top of the drum?

  21. Subtract the water depth from the total length of the drum.

    Distance below top=Total length−Water depth\text{Distance below top} = \text{Total length} - \text{Water depth} Distance below top=35.54 cm−23.5 cm\text{Distance below top} = 35.54 \text{ cm} - 23.5 \text{ cm}
  22. Perform the subtraction.

    35.54−23.5012.04\begin{align*} 35.54 \\ - 23.50 \\ \hline 12.04 \end{align*}

    The water level is 12.04 cm12.04 \text{ cm} below the top of the drum.
    The answer is 12.04 cm\boxed{12.04 \text{ cm}}.

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