Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom =...
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![Page 1: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/1.jpg)
Dividing with Scientific Notation
How can we deal with so many zeros?
The mass of one carbon atom =12.01
602,200,000,000,000,000,000,000
![Page 2: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/2.jpg)
Covered in this lesson
• This lesson demonstrates how to divide with scientific notation.
– Scientific notation can be divided easily with or without a calculator when the factors (the number between 1 and 10) and exponents (power of ten) are considered.
![Page 3: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/3.jpg)
Scientific Notation
• All scientific notation is expressed with a factor multiplied by a power of 10.• ExamplesA.5.89 X 107 m B. 3.0 X 1018 dLC. 9.00 X 10-3g D. 7.1 X 10 -
12Mm
![Page 4: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/4.jpg)
Methods of Dividing
• There are at least two methods you can use to divide in scientific notation.–The short hand way using a scientific
calculator.–The long hand way without a scientific
calculator.
![Page 5: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/5.jpg)
Using a Scientific Calculator
• If you are dividing in scientific notation use the following method.–Enter the first number in ( ) divided by
the second number in ( )–Press enter
(Note the power of 10 will be given the symbol exp)
![Page 6: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/6.jpg)
Example: Scientific Calculator
• (1.47 X 107) / (6.00 X 1010) =• Put the first number in ( ) divide by
the second number in ( )It looks like this (1.47*10^7)/(6.00*10^10) Press enteryou see 2.45exp-4Write your answer 2.45 X 10-4
![Page 7: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/7.jpg)
2nd Method Using a Scientific Calculator
• Use the exp key dividing as usual.• Enter the numbers as follows: –first number: factor, exp key, exponent –divide – second number: factor, exp key, exponent– Enter
![Page 8: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/8.jpg)
Example: 2nd Method Scientific Calculator
• (1.47 X 107) / (6.00 X 1010) =• Use the exp key and just divide.It looks like this 1.47exp7/6.00exp10Press enter you see 2.45exp-4Write your answer 2.45 X 10-4
![Page 9: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/9.jpg)
Example: Without Calculator
• Divide the factors• Subtract the power of 10
exponents • Put them together • Change back to scientific
notation.
![Page 10: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/10.jpg)
Without Calculator Example
• (1.47 X 107) / (6.00 X 1010) =• Divide the factors 1.47/6.00 = 0.245 • Subtract the exponents 7 - 10 = -3
• Put them together 0.245 X 10-3 • change back to scientific notation.
= 2.45 X 10-4 the final answer
![Page 11: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/11.jpg)
Practice problems
1. (6.38 X 109) / (7.83 X 105) =
2. (2.038 X 107) / (2.00 X 10-11) =
3. (5.89 X 10-5) / (3.0 X 1010) =
4. (9.00 X 10-8) / (7.1 X 10 -4) =
![Page 12: Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = 12.01 602,200,000,000,000,000,000,000.](https://reader036.fdocuments.us/reader036/viewer/2022083119/5a4d1adb7f8b9ab059974a6c/html5/thumbnails/12.jpg)
Answers Practice Problems
1. 8.15 X 103
2. 102 X 106
3. 1.96 X 10-15
4. 1.27 X 10-4