math

how do i use two unit multipliers to convert 61.131121 kilometers to centimeters

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  1. 1 km = 1000 meters
    1 m = 100 centimeters

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    Ms. Sue
  2. Multiply the kilometers by 1,000 to find the meters.

    Multiply the meters by 100 to find the centimeters.

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    Ms. Sue
  3. These types of problems are easier if you get in the habit of including the units during the conversion. It then becomes second nature when the units are less familiar.

    1 km = 1000 meters so the conversion is 1000 m km-1

    1 m = 100 centimeters so the conversion is 100 cm m-1

    61.131121 km x 1000 m km-1 x 100 cm m-1

    =6.1131121 x 10^6 cm

    note that the units balance in that the LHS cancels down to cm. This approach is very useful when you have not used the units before.

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