full transcript

## Unscramble the Blue Letters

How many times can you fold a piece of paper? Assume that one had a piece of paper that was very fine, like the kind they typically use to print the Bible. In reality, it seems like a piece of silk. To qualify these ideas, let's say you have a paper that's one-thousandth of a centimeter in thickness. That is 10 to the power of minus three centimeters, which equals .001 centimeters. Let's also assume that you have a big piece of paper, like a page out of the nespapewr. Now we begin to fold it in half. How many times do you think it could be fdoled like that? And another question: If you could fold the paper over and over, as many times as you wish, say 30 times, what would you imagine the thickness of the paper would be then? Before you move on, I encourage you to actually think about a possible answer to this question. OK. After we have folded the paper once, it is now two thousandths of a cemteniter in thickness. If we fold it in half once again, the pepar will become four tnhdasthuos of a centimeter. With every fold we make, the paper doubles in thickness. And if we continue to fold it again and again, always in half, we would coonnrft the following satoiiutn after 10 fodls. Two to the power of 10, meaning that you multiply two by itself 10 times, is one thousand and 24 thousandths of a centimeter, which is a little bit over one centimeter. asmuse we continue folding the paper in half. What will happen then? If we fold it 17 times, we'll get a thickness of two to the pwoer of 17, which is 131 centimeters, and that equals just over four feet. If we were able to fold it 25 times, then we would get two to the power of 25, which is 33,554 centimeters, just over 1,100 feet. That would make it almost as tall as the Empire State biluding. It's worthwhile to stop here and reflect for a moment. Folding a paper in half, even a paper as fine as that of the Bible, 25 times would give us a paper almost a quarter of a mile. What do we learn? This type of growth is celald exponential growth, and as you see, just by folding a paper we can go very far, but very fast too. surianmzmig, if we fold a paper 25 teims, the thickness is almost a qetuarr of a mile. 30 times, the thickness reaches 6.5 miles, which is about the average height that planes fly. 40 times, the thickness is nearly 7,000 miles, or the araevge GPS satellite's orbit. 48 times, the thickness is way over one million miles. Now, if you think that the distance between the erath and the Moon is less than 250,000 miles, then sirnattg with a piece of bbile paper and folding it 45 times, we get to the Moon. And if we double it one more time, we get back to Earth.

## Open Cloze

How many times can you fold a piece of paper? Assume that one had a piece of paper that was very fine, like the kind they typically use to print the Bible. In reality, it seems like a piece of silk. To qualify these ideas, let's say you have a paper that's one-thousandth of a centimeter in thickness. That is 10 to the power of minus three centimeters, which equals .001 centimeters. Let's also assume that you have a big piece of paper, like a page out of the _________. Now we begin to fold it in half. How many times do you think it could be ______ like that? And another question: If you could fold the paper over and over, as many times as you wish, say 30 times, what would you imagine the thickness of the paper would be then? Before you move on, I encourage you to actually think about a possible answer to this question. OK. After we have folded the paper once, it is now two thousandths of a __________ in thickness. If we fold it in half once again, the _____ will become four ___________ of a centimeter. With every fold we make, the paper doubles in thickness. And if we continue to fold it again and again, always in half, we would ________ the following _________ after 10 _____. Two to the power of 10, meaning that you multiply two by itself 10 times, is one thousand and 24 thousandths of a centimeter, which is a little bit over one centimeter. ______ we continue folding the paper in half. What will happen then? If we fold it 17 times, we'll get a thickness of two to the _____ of 17, which is 131 centimeters, and that equals just over four feet. If we were able to fold it 25 times, then we would get two to the power of 25, which is 33,554 centimeters, just over 1,100 feet. That would make it almost as tall as the Empire State ________. It's worthwhile to stop here and reflect for a moment. Folding a paper in half, even a paper as fine as that of the Bible, 25 times would give us a paper almost a quarter of a mile. What do we learn? This type of growth is ______ exponential growth, and as you see, just by folding a paper we can go very far, but very fast too. ___________, if we fold a paper 25 _____, the thickness is almost a _______ of a mile. 30 times, the thickness reaches 6.5 miles, which is about the average height that planes fly. 40 times, the thickness is nearly 7,000 miles, or the _______ GPS satellite's orbit. 48 times, the thickness is way over one million miles. Now, if you think that the distance between the _____ and the Moon is less than 250,000 miles, then ________ with a piece of _____ paper and folding it 45 times, we get to the Moon. And if we double it one more time, we get back to Earth.

## Solution

1. paper
2. bible
3. folds
4. folded
5. power
6. situation
7. confront
8. quarter
9. centimeter
10. building
11. assume
12. called
13. times
14. earth
15. starting
16. summarizing
17. thousandths
18. average
19. newspaper

## Original Text

How many times can you fold a piece of paper? Assume that one had a piece of paper that was very fine, like the kind they typically use to print the Bible. In reality, it seems like a piece of silk. To qualify these ideas, let's say you have a paper that's one-thousandth of a centimeter in thickness. That is 10 to the power of minus three centimeters, which equals .001 centimeters. Let's also assume that you have a big piece of paper, like a page out of the newspaper. Now we begin to fold it in half. How many times do you think it could be folded like that? And another question: If you could fold the paper over and over, as many times as you wish, say 30 times, what would you imagine the thickness of the paper would be then? Before you move on, I encourage you to actually think about a possible answer to this question. OK. After we have folded the paper once, it is now two thousandths of a centimeter in thickness. If we fold it in half once again, the paper will become four thousandths of a centimeter. With every fold we make, the paper doubles in thickness. And if we continue to fold it again and again, always in half, we would confront the following situation after 10 folds. Two to the power of 10, meaning that you multiply two by itself 10 times, is one thousand and 24 thousandths of a centimeter, which is a little bit over one centimeter. Assume we continue folding the paper in half. What will happen then? If we fold it 17 times, we'll get a thickness of two to the power of 17, which is 131 centimeters, and that equals just over four feet. If we were able to fold it 25 times, then we would get two to the power of 25, which is 33,554 centimeters, just over 1,100 feet. That would make it almost as tall as the Empire State Building. It's worthwhile to stop here and reflect for a moment. Folding a paper in half, even a paper as fine as that of the Bible, 25 times would give us a paper almost a quarter of a mile. What do we learn? This type of growth is called exponential growth, and as you see, just by folding a paper we can go very far, but very fast too. Summarizing, if we fold a paper 25 times, the thickness is almost a quarter of a mile. 30 times, the thickness reaches 6.5 miles, which is about the average height that planes fly. 40 times, the thickness is nearly 7,000 miles, or the average GPS satellite's orbit. 48 times, the thickness is way over one million miles. Now, if you think that the distance between the Earth and the Moon is less than 250,000 miles, then starting with a piece of Bible paper and folding it 45 times, we get to the Moon. And if we double it one more time, we get back to Earth.

## Important Words

2. assume
3. average
4. bible
5. big
6. bit
7. building
8. called
9. centimeter
10. centimeters
11. confront
12. continue
13. distance
14. double
15. doubles
16. earth
17. empire
18. encourage
19. equals
20. exponential
21. fast
22. feet
23. fine
24. fly
25. fold
26. folded
27. folding
28. folds
29. give
30. gps
31. growth
32. happen
33. height
34. ideas
35. imagine
36. kind
37. learn
38. meaning
39. mile
40. miles
41. million
42. moment
43. moon
44. move
45. multiply
46. newspaper
47. orbit
48. page
49. paper
50. piece
51. planes
52. power
53. print
54. qualify
55. quarter
56. question
57. reaches
58. reality
59. reflect
60. silk
61. situation
62. starting
63. state
64. stop
65. summarizing
66. tall
67. thickness
68. thousand
69. thousandths
70. time
71. times
72. type
73. typically
74. worthwhile