Scientific Notation Day 1 2014.notebook October 28, 2015 Warm up 1. Find the following information using your resources and write the answers in your notebook. a. What is the amount of the national debt? b. What is Bill Gates' net worth? c. What is the mass of the Sun? d. What is the mass of one electron? e. What is the mass of one hydrogen atom? 2. Work on Weekly Math #9. 1 Scientific Notation Day 1 2014.notebook October 28, 2015 Scientific Notation Scientific notation allows us to represent extremely large or extremely small numbers in a more effective way. It is written as a decimal multiplied by a power of 10. 1.59 x 109 Standard Form to Scientific Notation: 1. Move the original decimal point after the first number that is not a zero. 2. The power of ten = how many places the decimal point was moved. Very small number - negative exponent Very large number - positive exponent 2 Scientific Notation Day 1 2014.notebook October 28, 2015 Change these numbers into scientific notation. 178,000,000,000 0.0000000000007 0.045 13,400,000,000 3 Scientific Notation Day 1 2014.notebook October 28, 2015 To change a number in scientific notation to standard form: - the number of places to move the decimal = power of 10 positive exponent - move ___________ negative exponent - move ___________ 1.45 x 105 4 x 10-4 6.287 x 10-6 3.96 x 109 4 Scientific Notation Day 1 2014.notebook October 28, 2015 Correct scientific notation has only one number (1-9) before the decimal point. 32 x 103 1.43 x 10-6 7 x 105 632.6 x 10-5 5 Scientific Notation Day 1 2014.notebook October 28, 2015 Drag the values that are NOT in scientific notation to the trash can. If you are correct, the values will disappear into the trash can. 8.2 x 106.5 9 x 103 5.006 x 1021 0.035 x 108 1.000356 x 109 78 x 1017 6 Scientific Notation Day 1 2014.notebook October 28, 2015 Bingo Answers 1500 0.7 2.7 x 10-4 40,100 0.0063 5.3 x 103 9.12 x 10-3 678 0.0583 1.8 x 101 5,925,000 0.0008075 1.25 x 10-1 700,000,000 0.000011 1.7 x 1010 99,900,000 73,458,000 1.0 x 10-2 300,500 1.0 x 106 2.18 x 104 254,000 1.74 x 104 2.45 x 106 17,500 5.0 x 102 5.4 x 10-3 0.0000012 8.03 x 105 9.9 x 10-5 7 Scientific Notation Day 1 2014.notebook October 28, 2015 8
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