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Perform the following conversions: 1) 200 cm to m. 2) 60 m to cm. 3) 58 min and 26 sec to seconds.

Mathematics

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Step-by-step solution

7 steps
  1. Convert 200 cm into m.
  1. Recall the conversion factor between centimeters and meters.

    We know that 1 m=100 cm1 \text{ m} = 100 \text{ cm}.

  2. Divide the given length in centimeters by 100 to convert it to meters.

    200 cm=200100 m200 \text{ cm} = \frac{200}{100} \text{ m} 200 cm=2 m200 \text{ cm} = 2 \text{ m}

    The converted value is 2 m\boxed{\text{2 m}}.

    1. Convert 60 m into cm.
  3. Recall the conversion factor between meters and centimeters.

    We know that 1 m=100 cm1 \text{ m} = 100 \text{ cm}.

  4. Multiply the given length in meters by 100 to convert it to centimeters.

    60 m=60×100 cm60 \text{ m} = 60 \times 100 \text{ cm} 60 m=6000 cm60 \text{ m} = 6000 \text{ cm}

    The converted value is 6000 cm\boxed{\text{6000 cm}}.

    1. Convert 58 min and 26 sec into seconds.
  5. Recall the conversion factor between minutes and seconds.

    We know that 1 min=60 seconds1 \text{ min} = 60 \text{ seconds}.

  6. Convert 58 minutes into seconds.

    58 min=58×60 seconds58 \text{ min} = 58 \times 60 \text{ seconds} 58 min=3480 seconds58 \text{ min} = 3480 \text{ seconds}
  7. Add the remaining 26 seconds to the converted value.

    3480 seconds+26 seconds=3506 seconds3480 \text{ seconds} + 26 \text{ seconds} = 3506 \text{ seconds}

    The total time in seconds is 3506 seconds\boxed{\text{3506 seconds}}.

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