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8.5 Problem Solving and Scientific Notation

8.5 Problem Solving and Scientific Notation. Steps to solve any story problem…. Write verbal model Assign labels Write an algebraic model Solve Answer the question Does your answer make sense?. The Purchase of Alaska.

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8.5 Problem Solving and Scientific Notation

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  1. 8.5 Problem Solving and Scientific Notation

  2. Steps to solve any story problem… • Write verbal model • Assign labels • Write an algebraic model • Solve • Answer the question • Does your answer make sense?

  3. The Purchase of Alaska In 1867, the United States purchased Alaska from Russia for $7.2 million. The total area of Alaska is about 3.78 ∙ 108 acres. What was the price per acre? Price per acre = Total Price # of acres 7.2 million3.78 ∙ 108 =

  4. The Purchase of Alaska… 7.2 ∙ 1063.78 ∙ 108 ≈ 1.9 ∙ 10-2 ≈ 0.019 dollars per acre The price was about 2¢ per acre. Do you think we got a good deal?

  5. How many people live in your area? If the population in an area of 8.31102 square miles is 7 106, how many people are there per square mile? Population  area = people per square mile p = population a = area x = people per square mile

  6. p = x a 7  106 8.31 102 7 106-2 8.31 = .8424  104 = 8,424 = There are about 8,424 people per square mile.

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