A professional football stadium has 36 sections labeled 101-136. Each section has 38 rows of standard stadium seating. Each row of each section on this level averages 22 seats. Estimate the number of seats available in the stadium by rounding each value to the nearest tens place.

Rationale

Approximately 32,000 seats are available in the stadium.

To estimate the total number of seats, we round each component to the nearest ten: 36 sections to 40, 38 rows to 40, and 22 seats per row to 20. Multiplying these rounded values (40 sections × 40 rows × 20 seats) gives us an estimated total of 32,000 seats.

A (30096) YOUR ANSWER

This option is based on a more precise calculation rather than estimation. The actual calculation using the original values (36 sections × 38 rows × 22 seats) results in a figure that does not align with the rounded estimation method required in the question. Thus, it does not reflect the estimated total.

B (48000) YOUR ANSWER

This choice overestimates the number of seats by rounding the sections and rows too high. Rounding 36 sections to 40 and 38 rows to 40, while using 22 seats rounded to 30, leads to an inflated total. Therefore, this option fails to provide a reasonable estimate.

C (32000) CORRECT

This option accurately represents the estimated total based on rounding the components to the nearest ten: 40 sections, 40 rows, and 20 seats. The multiplication of these rounded values yields the correct estimated total of 32,000 seats available in the stadium.

D (18000) YOUR ANSWER

This answer significantly underestimates the total number of seats. By not rounding the values to the nearest ten correctly or by miscalculating, this figure does not reflect the capacity of the stadium as per the provided data.

Conclusion

Estimating the number of seats in the stadium involves rounding each value to the nearest ten and calculating the total. With 40 sections, 40 rows, and 20 seats per row, we arrive at an estimated total of approximately 32,000 seats. This estimation method highlights the importance of rounding in simplifying calculations while still achieving a reasonable approximation of the total seating capacity.

A professional football stadium has 36 sections labeled 101-136. Each section has 38 rows of standard stadium seating. Each row of each section on this level averages 22 seats. Estimate the number of seats available in the stadium by rounding each value to the nearest tens place.

Approximately 32,000 seats are available in the stadium.

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