If you found out that your gym teacher is going to make you run 31,680 inches next period, how useful is this information? Or, if you knew that you were 0.00030977 miles long at birth, do you have any idea how long that is?

An important part of measurement is choosing an appropriate unit of measurement. Suggest a unit of measurement that can best measure (and describe) each of those previously mentioned situations.

Respuesta :

- The unit of measurement that can best measure the distance your gym teacher wants you to run is; meters (m).

- The unit of measurement that can best measure the height of how long you were at birth is; centimeters(cm).

  • This is about S.I unit of measurements.

S.I units are simply the universal metric system used as a standard of measurement.

  • We are told that the distance the gym teacher is going to make you run is 31,680 inches.
  • Now, the S.I unit of measuring distance is meters (m).

Thus, we need to convert that given distance to meters.

From standard conversions;

1 inch = 0.0254 meters

Thus;

31,680 inches = 31680 × 0.0254/1 meters = 804.672 metres

  • You discovered that at birth, you were 0.00030977 miles long. This means your height was 0.00030977 miles.

  • Now, the S.I unit of height is meters.

From standard conversions;

1 mile = 1609.344 meters

Thus;

0.00030977 miles = 0.00030977 × 1609.344 meters = 0.4985 metres

But the easier measurement to read would be in centimeters.

Thus; height = 49.85 cm

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The appropriate units of measurement for the questions are; meters and feet.

So that:

  • 31680 inches is 804.67 meters
  • 0.00030977 miles is 1.64 feet

Unit of measurement is very important when dealing with measured values of quantities. In measurements, units help in comparing and relating a value to the appropriate quantity. Thus there is a huge meaning and difference between 100, 100 kg and 100 meters.

A. In the first question, distance is generally expressed in metres (m). So convert 31680 inches to metres to have:

1 inch = 0.0254 m

So that,

31680 inches = x

cross multiply and make x the subject of formula to have:

x = 31680 * 0.0254

  = 804.672 m

Thus the distance to be covered is 804.67 m. This is important because it makes the trainee prepared for the run ahead.

B. In this case, the height or length should be in feet. So that converting 0.00030977 miles to feet. We have:

1 mile = 5280 feet

So that;

0.00030977 miles = y

make y the subject of the formula;

y = 5280 * 0.00030977

  = 1.6355856 feet

The appropriate measure of the baby's length is 1.64 feet.

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