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The circumference of a bicycle wheel is 15.4 dm. If the wheel turned 50 times what distance did it cover in metres?

Mathematics

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Answer

77 m\text{77 m}

Step-by-step solution

3 steps

I will solve question 7 from the image.

The circumference of a bicycle wheel is 15.4 dm15.4 \text{ dm}. If the wheel turned 50 times what distance did it cover in metres?

  1. Identify the given values.

    The circumference of the bicycle wheel is 15.4 dm15.4 \text{ dm}.
    The wheel turned 50 times.

  2. Calculate the total distance covered in decimetres.

    The total distance is the circumference multiplied by the number of turns.

    Total distance=15.4 dm×50\text{Total distance} = 15.4 \text{ dm} \times 50 Total distance=770 dm\text{Total distance} = 770 \text{ dm}
  3. Convert the total distance from decimetres to metres.

    We know that 1 dm=0.1 m1 \text{ dm} = 0.1 \text{ m}.

    Total distance in metres=770 dm×0.1 m1 dm\text{Total distance in metres} = 770 \text{ dm} \times \frac{0.1 \text{ m}}{1 \text{ dm}} Total distance in metres=77 m\text{Total distance in metres} = 77 \text{ m}

    The total distance covered by the bicycle wheel is 77 m\text{77 m}.

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