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task a: running teams
four schools have running teams. each team trains for competitions by running around their own track.
when a person completes 1 trip around their track, they count 1 lap.
here is the length of 1 lap for each school.
1,200 feet \t\t400 meters \t\t\\(\frac{1}{2}\\) kilometers \t\t0.3 kilometers
here is a conversion chart.
1 kilometer = 1000 meters \t\t3 meters \\(\approx\\) 10 feet
1 mile = 5280 feet \t\t8 kilometers \\(\approx\\) 5 miles
put the laps in order from shortest to longest.
Step1: Convert all lap lengths to meters
- For 1,200 feet: Using \( 3 \text{ meters} \approx 10 \text{ feet} \), so \( 1200 \text{ feet} \times \frac{3 \text{ meters}}{10 \text{ feet}} = 360 \text{ meters} \)
- For \( \frac{1}{2} \) kilometers: Since \( 1 \text{ kilometer} = 1000 \text{ meters} \), \( \frac{1}{2} \times 1000 = 500 \text{ meters} \)
- For 0.3 kilometers: \( 0.3 \times 1000 = 300 \text{ meters} \)
- The 400 - meter lap remains 400 meters.
Step2: Order the lengths
Now we have the lengths in meters: 300 meters (0.3 km), 360 meters (1200 ft), 400 meters, 500 meters (\( \frac{1}{2} \) km).
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0.3 kilometers, 1,200 feet, 400 meters, \( \frac{1}{2} \) kilometers