Question

Convert the measure. Round your answer to the nearest tenth. Length of a football field ( 100 yards, not including the end zones) to meters (1 yard \(=0.9144 \text { meter })\)

Short answer

The length of the football field is approximately 91.4 meters when rounded to the nearest tenth.

Step-by-step solution

- Understand Conversion

First, it is crucial to note that according to the given conversion ratio, 1 yard is equal to 0.9144 meter: \(1 \text{ yard} = 0.9144 \text{ meter}\).

- Apply Conversion

Apply this conversion to the length provided, which is 100 yards. Multiply the length of the football field (100 yards) by the conversion factor of 0.9144 meter/yard. This results in \(100 \text{ yards} * 0.9144 \text{ meter/yard}\) as the equation to find the length in meters.

- Evaluate Calculation and Round Result

Evaluate the calculation. The units of 'yards' cancel out and the length of the football field in meters is found. Finally, round the answer to the nearest tenth.

- Check Reasonableness of Answer

Finally, make sure the answer seems reasonable. The conversion factor is less than 1, so the measure in meters should be less than the original measure in yards, yet not significantly smaller. If it were more than 100 or significantly less, there would likely be a calculation error.