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Your teacher has decided that one person in your class will get an extra points of credit. The lucky person has been narrowed down, so now it is between you and Newton. The teacher says, “I’m thinking of a number between 0 and 10. Whoever can choose the number closest to it gets the points.” Quickly, Newton yells out, “Three!” What number would you choose? Justify and explain your answer. 

Answers may vary. One choice would be .