6.Express the following numbers in scientific notation
a. 12800000
b. 0.0000072
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Answers
Answer:
In physics we often deal with very small and very large numbers. For example the speed of light is approximately 300,000,000 m/s. The size of an atom is roughly 0.0000000001 m. Rather than writing out all of the zeros, we express these numbers in scientific notation – a decimal number followed by the factor 10 raised to some power.
In scientific notation then:
The speed of light is roughly 3 x108 m/s (or more precisely 2.99 x108 m/s.
Small numbers (numbers less than 1) are handled using negative exponents on the 10.
The size of the atom would be written as 1 x 10-10 m.
Examples:
4, 500,000 = 4.5 x106
0.000789 = 7.89 x10-4
big numbers (greater than 1)
• 10 = 101
• 100 = 10 x 10 = 102
• 1,000 = 10 x 10 x 10 = 103
• 1,000,000 = 10x10x10x10x10x10 = 106
• 1,000,000,000,000 = 1012 (trillion)
• 2000 = 2 x 1000 = 2 x 106
• 2500 = 2.5 x 1000 = 2.5 x 106
small numbers (less than 1)

Answer:
a) 1.28 x 10 x 10 x 10 x 10 x 10 x 10 x 10
= 1.28 x 10 ^7
b) 7.2 / 10 x 10 x 10 x 10 x 10 x 10
= 7.2 x 10^ -6
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