Folding Paper and Exponential Growth

The video explores the concept of folding a piece of paper multiple times, demonstrating exponential growth. Starting with a thin piece of paper, the thickness doubles with each fold. The video illustrates how quickly the thickness increases, reaching significant heights and distances, such as the height of the Empire State Building and even the distance to the Moon. This exercise highlights the power of exponential growth.

What is the assumed thickness of the paper used in the folding example?

• 0.001 centimeters

• 0.01 centimeters

• 0.0001 centimeters

• 0.1 centimeters

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CCSS.HSF.BF.A.2

What happens to the thickness of the paper with each fold?

• It triples

• It remains the same

• It decreases

• It doubles

After 10 folds, what is the approximate thickness of the paper?

• 5 centimeters

• 2 centimeters

• 1 centimeter

• 0.5 centimeters

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CCSS.HSF.LE.A.4

How thick is the paper after 25 folds?

• About 100 feet

• About 2,000 feet

• About 500 feet

• About 1,100 feet

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CCSS.HSF-LE.A.1A

What is the term used to describe the rapid increase in thickness with each fold?

• Logarithmic growth

• Quadratic growth

• Linear growth

• Exponential growth

How many folds are needed for the paper to reach a thickness comparable to the height planes fly?

• 20 folds

• 25 folds

• 30 folds

• 35 folds

At 40 folds, the paper's thickness is closest to which of the following?

• The circumference of the Earth

• The average GPS satellite's orbit

• The distance from New York to Los Angeles

• The height of Mount Everest

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CCSS.HSF.LE.A.4

How many folds are required for the paper to reach the Moon?

• 45 folds

• 35 folds

• 30 folds

• 40 folds

If the paper is folded 48 times, how far does its thickness extend?

• Over one million miles

• Half a million miles

• A quarter of a million miles

• Less than 100,000 miles

What is the significance of folding the paper 45 times?

• It reaches the Sun

• It reaches the edge of the solar system

• It reaches the Moon

• It reaches Mars