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Lesson 1-9: Scientific Notation
ObjectivesStudents will be able to write numbers as
scientific notation as well as perform operations with scientific notation.
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Warm-up 1-9
31
0.54
1000000
0.0001
109
1012
1071
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Scientific Notation
a • 10n , where 1 < a < 10 and n is an integer
Allows us to write the mass of the earth: 5,974,000,000,000,000,000,000,000 kg
as5.974 • 1024
Remember:
Large numbers: 10positive
Small numbers: 10negative
Exponent tells you how far to move the decimal!
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Express each number in standard notation.
a.
b.
Answer: 0.0316
Answer: 7610
In-Class Example #1
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Operations with Scientific NotationKeep the parts separate and adjust when finished:1) Multiply/Divide “a” numbers2) Use properties of exponents to evaluate powers of 103) Adjust final scientific notation:
1) If you have to make the “a” number smaller, the you make the exponent bigger by the same number of decimal places
2) If you have to make the “a” number bigger, you make the exponent smaller by the same number of decimal places
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In-Class Example 2 45 102.4106.3 91012.15 1010512.1
10
4
106.8
1042.3 61040.0 7100.4