Lecture-1(2018)(1) (1).ppt

# The solar system is about times larger than an atom

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The solar system is about 10,000,000,000,000,000,000,000 times larger than an atom, for example Scientific notation ! You should become comfortable with seeing scientific notation, in the context of relative sizes of objects. Useful Web Sites which allow you to step through the powers of 10 are at:

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Powers of 10 1 1 1 1 0.1 10 10 10 2 2 1 1 1 1 0.01 10 100 10 10 10 x 3 3 1 1 1 1 1 0.001 10 1000 10 10 10 10 x x 1 1 1 3 1000 10 10 10 10 10 10 10 x x x x 1 1 2 100 10 10 10 10 10 x x 1 10 10 Positive Powers Positive Powers Negative Powers Negative Powers 10 0 = 1 0 Power 0 Power
Scientific Notation 12500 = 1.25 x 10000 = 1.25 x (10 x 10 x 10 x 10) = 1.25 x 10 4 1.2500 Move decimal 4 places to right 1.25x10 ? 12500 .0 0.00367 = 3.67 x 0.001 = 3.67 x (.1 x . 1 x .1) = 3.67 x 10 -3 3.67 3.67x10 ? 0.00367 Move decimal 3 places to left The sun has a radius of 695 million meters. How is this expressed in scientific notation? A) 695x10 5 B) 6.95x10 8 C) 6.95x10 9 D) 6.95x10 6 The earth has a circumference of about 25,000 miles. How is this expressed in scientific notation? A) 2.5x10 3 B) 25x10 4 C) 2.5x10 4 D) None of these

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Multiplying powers of 10 The circumference of the earth is about 4x10 7 [m]. If I were to travel around the earth 3x10 2 times, how many [m] will I have gone? A) 7.0x10 9 B) 1.2x10 10 C) 1.0x10 15 D) 7.0x10 15 (4x10 7 ) x (3x10 2 ) = (4x3) x (10 7 x10 2 ) = 12x10 (7+2) = 12x10 9 = (1.2x10) x10 9 = 1.2x10 10 (4x10 7 ) x (3x10 2 ) = (4x3) x (10 7 x10 2 ) = 12x10 (7+2) = 12x10 9 = (1.2x10) x10 9 = 1.2x10 10 A bullet takes 10 -3 seconds to go 1 [m]. How many seconds will it take for it to go 30 [m]?
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