Product of Whole Numbers and Proper Fractions

The video tutorial explains how to determine the height Brandon reaches on the 30th floor of a 40-floor building. By representing the floors as a fraction and simplifying it, the tutorial demonstrates how to calculate 3/4 of the building's total height of 440 feet. It guides viewers through eliminating incorrect options and understanding the concept of multiplying a proper fraction by a whole number, leading to the correct answer of 330 feet.

What is the total height of the building Brandon is in?

• 220 feet

• 330 feet

• 440 feet

• 520 feet

What fraction of the building's height does Brandon reach on the 30th floor?

• 1/2

• 3/4

• 2/3

• 1/4

Which of the following is NOT a possible height Brandon could reach on the 30th floor?

• 520 feet

• 440 feet

• 330 feet

• 220 feet

Why can we eliminate 440 feet as a possible height for Brandon on the 30th floor?

• Because 440 feet is the total height of the building

• Because 440 feet is exactly half of the building

• Because 440 feet is less than 3/4 of the building

• Because 440 feet is more than 3/4 of the building

What is the result of multiplying 3/4 by 440?

• 220

• 330

• 440

• 520

What concept is reinforced by the calculation of 3/4 of 440?

• Multiplying a fraction by a whole number results in a smaller number

• Multiplying a fraction by a whole number results in a larger number

• Multiplying a fraction by a whole number results in the same number

• Multiplying a fraction by a whole number results in an unpredictable number

Which of the following is the most reasonable height for Brandon on the 30th floor?

• 440 feet

• 520 feet

• 220 feet

• 330 feet