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Find the product: (i) 73.92 x 10 (ii) 7.54 x 10 (iii) 84.003 x 10 (iv) 2.397 x 100 (v) 6.83 x 100 (vi) 2.9 x 100 (vii) 6.7314 x 1000 (viii) 0.182 x 1000 (ix) 0.076 x 1000

Mathematics

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Here are the solutions to the problems.

1. Find the product:

  • (i) To multiply 73.92 by 10, move the decimal point one place to the right.

    73.92×10=739.273.92 \times 10 = 739.2 739.2\boxed{\text{739.2}}
  • (ii) To multiply 7.54 by 10, move the decimal point one place to the right.

    7.54×10=75.47.54 \times 10 = 75.4 75.4\boxed{\text{75.4}}
  • (iii) To multiply 84.003 by 10, move the decimal point one place to the right.

    84.003×10=840.0384.003 \times 10 = 840.03 840.03\boxed{\text{840.03}}
  • (iv) To multiply 2.397 by 100, move the decimal point two places to the right.

    2.397×100=239.72.397 \times 100 = 239.7 239.7\boxed{\text{239.7}}
  • (v) To multiply 6.83 by 100, move the decimal point two places to the right.

    6.83×100=6836.83 \times 100 = 683 683\boxed{\text{683}}
  • (vi) To multiply 2.9 by 100, move the decimal point two places to the right, adding a zero.

    2.9×100=2902.9 \times 100 = 290 290\boxed{\text{290}}
  • (vii) To multiply 6.7314 by 1000, move the decimal point three places to the right.

    6.7314×1000=6731.46.7314 \times 1000 = 6731.4 6731.4\boxed{\text{6731.4}}
  • (viii) To multiply 0.182 by 1000, move the decimal point three places to the right.

    0.182×1000=1820.182 \times 1000 = 182 182\boxed{\text{182}}
  • (ix) To multiply 0.076 by 1000, move the decimal point three places to the right.

    0.076×1000=760.076 \times 1000 = 76 76\boxed{\text{76}}

2. A bus can cover 62.5 km in one hour. How much distance can it cover in 18 hours?

  1. Identify the given rate and time.

    The bus covers 62.5 km62.5 \text{ km} per hour.
    The time is 18 hours18 \text{ hours}.

  2. Calculate the total distance by multiplying the distance covered in one hour by the total number of hours.

    Total distance=62.5 km/hour×18 hours\text{Total distance} = 62.5 \text{ km/hour} \times 18 \text{ hours}
  3. Perform the multiplication.

    62.5×18=112562.5 \times 18 = 1125

    The bus can cover 1125 km1125 \text{ km} in 18 hours.

    1125 km\boxed{\text{1125 km}}

    3. A tin of oil weighs 16.8 kg. What is the weight of 45 such tins?

  4. Identify the weight of one tin and the number of tins.

    Weight of one tin =16.8 kg= 16.8 \text{ kg}.
    Number of tins =45= 45.

  5. Calculate the total weight by multiplying the weight of one tin by the number of tins.

    Total weight=16.8 kg/tin×45 tins\text{Total weight} = 16.8 \text{ kg/tin} \times 45 \text{ tins}
  6. Perform the multiplication.

    16.8×45=75616.8 \times 45 = 756

    The weight of 45 tins is 756 kg756 \text{ kg}.

    756 kg\boxed{\text{756 kg}}
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