9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
1
October 11, 2017
Computing with Scientific Notation
Chapter 3 Lesson 7WarmUp:Express the numbers in scientific notation.
1.) 2,760,000,000
2.) 0.0000007136
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
3
October 11, 2017
Computing with Scientific NotationChapter 3 Lesson 7
Examples: Multiplying
Evaluate and express in scientific notation.
(7.2 x 103) (1.6 x 104) 1.)
Now you try...
a.) (8.4 x 102) (2.5 x 106)
b.) (2.63 x 104) (1.2 x 103)
Product of Powers Rule
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
4
October 11, 2017
Examples: Dividing2.) In 2010, the world population was about 6,860,000,000. The population of the US was about 3 x 108. About how many times larger is the world population than the US?
Estimate
6,860,000,000 = 6.86 x 109 ~~ 7 x 109
3 x 108Divide: 7 x 109
Quotient of Powers Rulewrite your answer in scientific notation.
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
5
October 11, 2017
Now you try...
8 x 108
2 x 105
c.)
4.25 x 109
5 x 103
d.)
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
6
October 11, 2017
Homework Check ~ math8
p. 222 (13)1.) 4.94 x 107
2.) 3.1 x 105
3.) 20
page 223 (17)1.) 8.97 x 108
2.) 3.762 x 107
3.) 8.19 x 102
4.) 6.3 x 104
5.) 2.375 x 1011
6.) 3.75 x 1019
7.) 8,000 times
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
7
October 11, 2017
Adding and Subtracting in Scientific Notation
(6.89 x 104) + (9.24 X 105)Line up the place values.Write 9 x 105 with 4 as the exponent.
3.) Example: Addition
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
8
October 11, 2017
Adding and Subtracting in Scientific Notation
(6.89 x 104) + (9.24 X 105)Line up the place values.Write 9 x 105 with 4 as the exponent.
3.)
Example: Addition
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
9
October 11, 2017
Adding and Subtracting in Scientific Notation
(7.83 x 108) 11,610,0004.)
Example: Subtraction(put in sci. not.)
593,000 + (7.89 x 106)5.) (put in sci. not.)
Example: Addition
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
10
October 11, 2017
Now you try...d.) (8.41 x 103) + (9.41 x 104)
e.) (1.263 x 109) (1.525 x 107)
f.) (6.3 x 105) + 2,700,000
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
11
October 11, 2017
When you move the decimal LEFT > ADD to the exponent
When you move the decimal RIGHT > SUBTRACT from the exponent
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
12
October 11, 2017
Homework ~ Lesson 7 p. 223(111)
p. 226(2527)
9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook
13
October 11, 2017
Homework Check ~ advanced m8 page 222 (17)1.) 4.94 x 107
2.) 3.1 x 105
3.) 204.) 8.9042 x 109
5.) 9.5871 x 108
6.) 1.233 x 106
7.) 6.854 x 105
page 223 (111)1.) 8.97 x 108
2.) 3.762 x 107
3.) 8.19 x 102
4.) 6.3 x 104
5.) 2.375 x 1011
6.) 3.75 x 1019
7.) 8,000 times8.) 9.563 x 1011
9.) 9.83 x 108
10.) 1.35759 x 109
11.) 8.70366 x 104