Power Play - Flash Cards
1/20
What happens to the thickness of paper when folded?
The thickness of the paper doubles with each fold.
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2/20
What is the initial thickness of a standard sheet of paper?
The initial thickness of the paper is 0.001 cm.
3/20
How thick is paper after 10 folds?
After 10 folds, the thickness is 1.024 cm.
4/20
What is the thickness after 30 folds?
After 30 folds, the thickness is approximately 10.7 km.
5/20
How many times can a sheet of paper typically be folded?
A sheet of paper can typically be folded a maximum of 7 times.
6/20
How does the thickness change from 0 to 10 folds?
The thickness increases by a factor of 1024 from 0 to 10 folds.
7/20
What is exponential growth?
Exponential growth occurs when a quantity increases at a rate proportional to its current value, like the thickness of folded paper.
8/20
What is the formula for thickness after n folds?
The thickness can be expressed as 0.001 cm × 2^n, where n is the number of folds.
9/20
How much does thickness increase after 3 folds?
After 3 folds, the thickness increases by 8 times (2^3).
10/20
What is the thickness after 20 folds?
After 20 folds, the thickness is approximately 10.4 m.
11/20
How thick is the paper after 17 folds?
After 17 folds, the thickness is approximately 131 cm.
12/20
How thick is the paper after 14 folds?
After 14 folds, the thickness is 16.384 cm.
13/20
What happens after 46 folds?
The thickness exceeds 700,000 km after 46 folds.
14/20
What is the relationship between folds and thickness?
The relationship is multiplicative; thickness doubles with each additional fold.
15/20
Provide a comparison between 30 and 40 folds.
Thickness increases from approximately 10.7 km at 30 folds to 10,995 km at 40 folds.
16/20
What key concept does the folding paper experiment exemplify?
It exemplifies the concept of exponential growth.
17/20
Why can’t paper be folded indefinitely?
Physical limitations and the thickness of the paper constrain the number of folds.
18/20
What is the significance of doubling in this context?
Doubling is the basis for determining the thickness after each fold.
19/20
Calculate the thickness of paper after 26 folds.
After 26 folds, the thickness is approximately 670 m.
20/20
What is a practical limit to consider when folding paper?
A practical limit is reached due to the decreasing size of the resulting folds.
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