Mars Climate Orbiter Error in transfer of information from spacecraft team in Colorado.

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Presentation transcript:

Mars Climate Orbiter Error in transfer of information from spacecraft team in Colorado and the mission navigation team in California  Do errors only occur in the classroom?  One team used English units and the other metric units  Impact: spacecraft did reach Mars but instead of being km altitude above Mars orbit, it was 57 km  Impact: spacecraft destroyed by atmospheric stresses  Cost: ≈$327,600,000

You Won the Lottery !

Have you ever wanted to win the lottery? Today you are going to work with your partner using a calculator to find how much money you won in a fictional lottery.

Before we start the activity… Do you think it matters how accurate you are with your calculations? Will one or two places of accuracy affect your lottery earnings?

You Won the Lottery ! You are lucky and have just won a $121,000, lottery with your 34 friends! Since you bought the lottery tickets and love math, you claimed ahead of time to receive ∏ ● e percent of the earnings.

A. How much did you win to 2 decimal places? B. Will you receive more money with 4 or 6 decimal places of accuracy (if rounding early ∏ ● e )? [Answer using a complete sentence.] C.By how much more money will you receive [Answer using a complete sentence.] D. How much less or more money did you receive versus having an equal share with your 34 friends? [Answer using a complete sentence.]

Appendix: Answers

Question A How much did you win to 2 decimal places? Answer: $10,334,368.00

Question B Will you receive more money with 4 or 6 decimal places of accuracy (if rounding early ∏ ● e )? [Answer using a complete sentence.] Answer: You will receive more money with 4 decimal places of accuracy.

Question C By how much more money will you receive? [Answer using a complete sentence.] Answer: With 4 decimal places of accuracy, you will receive $77.44 more.

Question D How much less or more money did you receive versus having an equal share with your 34 friends? [Answer using a complete sentence.] Answer: You would receive $6,877, more money!