math1003 1.14 - scientific notation
DESCRIPTION
TRANSCRIPT
![Page 1: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/1.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.14Scientific Notation
![Page 2: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/2.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To be able to write in and understand the difference between decimal notation and scientific notation.
![Page 3: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/3.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Big numbers
![Page 4: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/4.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Big numbers
“The distance from the earth to the moon is approximately 46,000,000,000 centimeters.”
![Page 5: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/5.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Big numbers
![Page 6: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/6.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Big numbers
“There are roughly 100,000,000,000,000,000,000 stars in the universe.”
![Page 7: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/7.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Small numbers
![Page 8: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/8.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Small numbers
“It takes approximately 0.00000000008 seconds for light to travel 1 inch.”
![Page 9: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/9.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Small numbers
![Page 10: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/10.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Small numbers
Intel has moved their chip manufacturing to 0.000000032 (32nm) technology.
![Page 11: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/11.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
![Page 12: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/12.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
![Page 13: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/13.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
46,000,000,000
![Page 14: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/14.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
46,000,000,000100,000,000,000,000,000,000
![Page 15: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/15.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
46,000,000,000100,000,000,000,000,000,000
0.00000000008
![Page 16: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/16.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
46,000,000,000100,000,000,000,000,000,000
0.000000000080.000000032
![Page 17: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/17.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
46,000,000,000100,000,000,000,000,000,000
0.000000000080.000000032
we’ve developed scientific notation to deal with these types of numbers.
![Page 18: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/18.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
4.6 x 109
100,000,000,000,000,000,0000.000000000080.000000032
we’ve developed scientific notation to deal with these types of numbers.
![Page 19: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/19.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
4.6 x 109
1020
0.000000000080.000000032
we’ve developed scientific notation to deal with these types of numbers.
![Page 20: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/20.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
4.6 x 109
1020
8.0 x 10-11
0.000000032
we’ve developed scientific notation to deal with these types of numbers.
![Page 21: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/21.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Writing Big and Small Numbers
Instead of writing
4.6 x 109
1020
8.0 x 10-11
3.2 x 10-8
we’ve developed scientific notation to deal with these types of numbers.
![Page 22: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/22.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3476
![Page 23: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/23.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3476
this number is in decimal notation
![Page 24: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/24.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3476 x 100
![Page 25: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/25.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3476 x 100
remember that 100 is equal to 1
![Page 26: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/26.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 100.
![Page 27: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/27.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 100.
![Page 28: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/28.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 100.
as we move the point to the left, we add 1 to the exponent
![Page 29: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/29.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 101.
as we move the point to the left, we add 1 to the exponent
![Page 30: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/30.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 101.
![Page 31: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/31.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 101.
![Page 32: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/32.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 101.
we add 1 to the exponent
everytime we move the point to the
left
![Page 33: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/33.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 102.
![Page 34: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/34.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 102.
![Page 35: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/35.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 103.
![Page 36: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/36.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 103.
there has to be one non-zero
significant digit to the left of the point
![Page 37: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/37.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
34760 x 103.
trailing zeroes are omitted
![Page 38: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/38.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3476 x 103.
![Page 39: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/39.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3476 = 3476 x 103.
![Page 40: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/40.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023.
![Page 41: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/41.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023.
this number is in decimal notation
![Page 42: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/42.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 100.
![Page 43: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/43.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 100.
as we move the point to the right, we subtract 1 from the exponent
![Page 44: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/44.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-1.
![Page 45: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/45.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-1.
![Page 46: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/46.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-2.
![Page 47: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/47.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-2.
![Page 48: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/48.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-3.
![Page 49: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/49.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-3.
![Page 50: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/50.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-4.
![Page 51: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/51.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-4.
![Page 52: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/52.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-4.
there has to be one non-zero
significant digit to the left of the point
![Page 53: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/53.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-4.
leading zeroes are omitted
![Page 54: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/54.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 x 10-4.
![Page 55: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/55.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
000023 = 23 x 10-4..
![Page 56: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/56.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
![Page 57: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/57.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.
![Page 58: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/58.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.1
![Page 59: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/59.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.1 2
![Page 60: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/60.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.1 2 3 4 5 6 7
![Page 61: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/61.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.1 2 3 4 5 6 7
we had to move the point seven places
to the right
![Page 62: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/62.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.1 2 3 4 5 6 7
![Page 63: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/63.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437.
Where do we want the point - between which two numbers?
.1 2 3 4 5 6 7
since we moved the point 7 spaces to the right, our exponent will
be -7
![Page 64: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/64.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437 x 10-7.
since we moved the point 7 spaces to the right, our exponent will
be -7
![Page 65: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/65.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437 x 10-7.
since we moved the point 7 spaces to the right, our exponent will
be -7
we don’t need to write the leading
zeroes
![Page 66: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/66.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437 x 10-7.
we don’t need to write the leading
zeroes
![Page 67: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/67.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
00000001437 =1437 x 10-7.
.
![Page 68: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/68.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
![Page 69: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/69.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
This Google’s net income in US dollars in 2006.
![Page 70: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/70.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
Where do we want the point - between which two numbers?
![Page 71: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/71.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
Where do we want the point - between which two numbers?
.
![Page 72: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/72.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
Where do we want the point - between which two numbers?
.1
![Page 73: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/73.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
Where do we want the point - between which two numbers?
.123456789
![Page 74: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/74.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
Where do we want the point - between which two numbers?
.1
we had to move the point nine places
to the left
23456789
![Page 75: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/75.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000
Where do we want the point - between which two numbers?
.1
since we moved the point to the left, our exponent will be
9
23456789
![Page 76: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/76.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000 x 109
Where do we want the point - between which two numbers?
.
![Page 77: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/77.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000 x 109
Where do we want the point - between which two numbers?
.
we don’t need to write the trailing
zeroes
![Page 78: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/78.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000 x 109
Where do we want the point - between which two numbers?
.
we don’t need to write the trailing
zeroes
![Page 79: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/79.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000 x 109
Where do we want the point - between which two numbers?
.
![Page 80: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/80.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077 x 109.
![Page 81: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/81.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
3077000000 =3077 x 109.
![Page 82: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/82.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2.3 x 106.
![Page 83: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/83.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2.3 x 106.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 84: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/84.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2.3 x 106.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 85: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/85.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2.3 x 106.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 86: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/86.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2.3 x 106.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 87: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/87.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
23 x 105.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 88: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/88.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
230 x 105.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 89: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/89.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2300 x 104.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 90: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/90.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
23000 x 103.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 91: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/91.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
230000 x 102.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 92: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/92.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2300000 x 101.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 93: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/93.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
23000000 x 100.
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 94: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/94.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
2300000
This represents an estimate of the number of servers in Google’s server farms around the world.
![Page 95: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/95.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
12 x 10-5.
![Page 96: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/96.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
12 x 10-5
This represents the size of an influenza virus (in centimeters).
.
![Page 97: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/97.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
12 x 10-5
This represents the size of an influenza virus (in centimeters).
.
![Page 98: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/98.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-5
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 99: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/99.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-5
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 100: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/100.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-4
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 101: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/101.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-4
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 102: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/102.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-3
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 103: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/103.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-3
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 104: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/104.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-2
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 105: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/105.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-2
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 106: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/106.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-1
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 107: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/107.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
0000012 x 10-1
And back to Decimal Notation...
.
This represents the size of an influenza virus (in centimeters).
![Page 108: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/108.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
0000012 x 100.
This represents the size of an influenza virus (in centimeters).
![Page 109: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/109.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
And back to Decimal Notation...
0000012.
This represents the size of an influenza virus (in centimeters).
![Page 110: Math1003 1.14 - Scientific Notation](https://reader034.vdocuments.us/reader034/viewer/2022042623/54886e9fb47959dd0c8b572b/html5/thumbnails/110.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Scientific Notation
An understanding of scientific notation is necessary to understand computers because this is the way real
numbers are stored.