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Transcript of Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in...
![Page 1: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/1.jpg)
Do NOW• Please complete your Do
NOW located in your packet• I will collect it at the end
of class in at end of class.• Please work silently and
independently
![Page 2: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/2.jpg)
Scientific Notation
![Page 3: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/3.jpg)
Objective• SWBAT correctly convert from standard numbers into
scientific notation, and back.
![Page 4: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/4.jpg)
What is Scientific Notation?• Scientific Notation is used to express very large
and very small numbers more easily.• It is a way of writing a number with “Powers of
Ten”• If number is greater than 1 : the Power of Ten is
POSITIVE.• If number is smaller than 1: the Power of Ten is
NEGATIVE.
![Page 5: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/5.jpg)
SN in Practice: Hope Diamond
•Made of the element Carbon•Weight: 45 carats•Weight: 9000 mg = 9 g•Mass of one Carbon atom: 2X10-23 g•4.6X1023 atoms•LOTS OF ZEROS! TOO MUCH TO WRITE.
$200–$250 million
![Page 6: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/6.jpg)
RULES1.23 x 104
NUMBER: Decimal always after first digit
EXPONENT: Positive for big numbers, Negative for fractions!
BASE: Always 10!
![Page 7: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/7.jpg)
Conversion: #’s Greater than 1
Greater Than 1
1. Write a decimal after the first digit on the left
2. Count how many numbers are still after decimal and stop at original decimal point
3. Write the coefficient * 10 POSITIVE exp
Example
• Hillary Clinton makes:• Standard Notation:
$186,600.00 per year• Step 1: 1.86600.00• Step 2: Count 5 numbers
to decimal• Step 3: coefficient is 5• Answer: 1.86 x 10 5
![Page 8: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/8.jpg)
Conversion: #’s Less than 1
Less than 1
1. Look where the decimal already is
2. Move the decimal to the right of the first non-zero digit
3. Count how many digits you moved
4. Write this as your base 10 NEGATIVE exp
Example
• A germ is:• .00000179 centimeters
long, convert to Sci Not.• Step 1: 1.79• Step 2: moved 6 digits to
the right• Step 3: the exponent will
be -6 (we moved to the right)
• Answer 1.79 x 10 -6
![Page 9: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/9.jpg)
Guided Practice
•Chris Paul has 2,966 career assists. Write this in scientific notation
•Will Smith makes $35,000,000 per film. Write this in scientific notation.
![Page 10: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/10.jpg)
Guided Practice
• LaDainian Tomlinson makes 3.825 x 10 6
dollars/year. Write this in standard notation.
3,825,000
• A human hair is 56 x 10 -6 meters thick. Write this in standard notation.
0.0000056 meters
![Page 11: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/11.jpg)
Independent• On your own, worksheet!
![Page 12: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/12.jpg)
Adding and Subtracting in Scientific Notation
![Page 13: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/13.jpg)
Adding and Subtracting…• The important thing to remember about adding or subtracting
is that the exponents must be the same!
• If the exponents are not the same then it is necessary to change one of the numbers so that both numbers have the same exponential value.
![Page 14: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/14.jpg)
• The general format for adding is as follows…(N x 10x) + (M x 10x) = (N + M) x 10x
• The first step, if necessary, is to change one of the numbers so that both numbers have the same exponential value.
• Secondly, add the N and M numbers together and express as an answer.
• The final step is to multiply the result by the 10x.• (It may be necessary to put the resulting answer into proper
scientific notation.)
Adding and Subtracting…
![Page 15: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/15.jpg)
Multiplying in Scientific Notation
![Page 16: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/16.jpg)
Multiplying…• The general format for multiplying is as follows…
(N x 10x)(M x 10y) = (N)(M) x 10x+y
• First multiply the N and M numbers together and express an answer.
• Secondly multiply the exponential parts together by adding the exponents together.
• Finally multiply the two results for the final answer.(2.41 x 104)(3.09 x 102)
2.41 x 3.09 = 7.454 + 2 = 6
***7.45 x 106***
![Page 17: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/17.jpg)
Dividing in Scientific Notation
![Page 18: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/18.jpg)
Dividing…• The general format for dividing is as follows…• (N x 10x)/(M x 10y) = (N/M) x 10x-y
• First divide the N number by the M number and express as an answer.
• Secondly divide the exponential parts by subtracting the exponent from the exponent in the upper number.
• Finally multiply the two results together to get the final answer.(4.89 x 107)/(2.74 x 104)
4.89 / 2.74 = 1.787 – 4 = 3
***1.78 x 103***
![Page 19: Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.](https://reader035.fdocuments.us/reader035/viewer/2022072015/56649ed15503460f94be0cff/html5/thumbnails/19.jpg)
Independent Practice• On your own, worksheet!