Question 170274: 7. One common use of positive and negative exponents is in writing numbers as scientific notation. For example 0.000052 can be written as 5.2 10-5. A) Use scientific notation and the laws of exponents to evaluate (0.000054)(0.00000033)(0.013). Leave your answer in scientific notation. B) If a space probe travels at 12 kilometers per second for 10 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)
Scientific Notation: A number is expressed in scientific notation when it is in the form a x 10n, where a is greater than or equal to 1 but less than 10 and n is an integer.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A) Use scientific notation and the laws of exponents to evaluate (0.000054)(0.00000033)(0.013). Leave your answer in scientific notation.
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(0.000054)(0.00000033)(0.013)
= 5.4E-5 x 3.3E-7 x 1.3E-2 (E is sometimes used to denote 10 to the power of...)
=5.4*3.3*1.3E-14
= 23.166E-14
=2.3166E-13, or 2.3166*10^-13
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B) If a space probe travels at 12 kilometers per second for 10 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)
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s = 12*60*60*24*365 km
s = 3,784,320,000 km
s = 3.78432*10^10 km
That seems like a long way, but it's still inside the orbit of Pluto.
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