Month: May 2014

Problem 351 Explain why the definition of a fraction restricts the denominator to being a nonzero integer.   Solution When there is a zero at the denominator , this form…

Problem 350 A tangram is a geometric puzzle made from seven pieces that from a square. Trace the pieces, cut them out, and answer the following questions. a. If the…

Problem 349 Scoring in Golf. A golfer played 8 rounds on a tournament course with the following scores (par is the expected score for a round: negative numbers represent the…

Problem 348 Give a counterexample to show that each of the following generalization about the set of integers is false: a. Closure property for division b. Distributive property for division…

Problem 347 How would you convince someone that for integers a and b , a – b and b – a are opposites of each other?   Solution   According…

Problem 346 Choose a nonzero integer for n to show that – n cab be evaluated as a positive number.   Solution   -n + n= 0 So integer is…

Problem 345 Show how to find the quotient 18 ÷ (-6) by using a.      The idea of division as finding a missing factor. b.     The procedure for integer division.  …

Problem 344 Use the definition of less then and grater than to verify that a.      -9 < -6. b.     2 > -8. c.      0 > -2.   Solution a.      -9+3=-3…

Problem 343 Show how to find the sum 6 + (-3) by using a. a counters model. b. a charged-field model. c. a number-line model. d. the rules for adding…

Problem 342 Write the integer that is represented by a. a collection of 9 red counters and 5 black counters. b. a collection of 7 red counters and 12 black…