Solutions for The Heart of Mathematics: An Invitation to Effective Thinking, WileyPLUS NextGen Card with Loose-leaf Set Single Semester: An Invitation to Effective Thinking (Key Curriculum Press)
Problem 1MS:
A flashy timepiece. You own a very expensive watch that is currently flashing 3:00. What time will...Problem 2MS:
Living in the past. Your watch currently reads 8:00. What time did it read 24 hours earlier? Ten...Problem 3MS:
Mod prods. Which number from 0 to 6 is equivalent to 16 mod 7? Which number from 0 to 6 is...Problem 5MS:
A tower of mod power. Reduce 13 mod 11. Reduce 132 mod 11. Compare (13 mod 11)2 with 132 mod 11. Now...Problem 6MS:
Hours and hours. The clock now reads 10:45. What time will the clock read in 96 hours? What time...Problem 7MS:
Days and days. Today is Saturday. What day of the week will it be in 3724 days? What day of the week...Problem 8MS:
Months and months (H). It is now July. What month will it be in 219 months? What month will it be in...Problem 9MS:
Celestial seasonings (S). Which of the following is the correct UPC for Celestial Seasonings Ginseng...Problem 10MS:
SpaghettiOs. Which of the following is the correct UPC for Campbells SpaghettiOs? Show why the other...Problem 12MS:
Tonic water. Which of the following is the correct UPC for Canada Dry tonic water? Show why the...Problem 13MS:
Real mayo (H). The following is the UPC for Hellmanns 8-oz. Real Mayonnaise. Find the missing digit.Problem 14MS:
Applesauce. The following is the UPC for Lucky Leaf Applesauce. Find the missing digit.Problem 16MS:
Mixed nuts. The following is the UPC for Planters 6.5-oz. Mixed Nuts. Find the missing digit.Problem 17MS:
Blue chips. The following is the UPC for Garden of Eatin 10-oz. Blue Corn Chips. Find the missing...Problem 19MS:
Decoding (S). A friend with lousy handwriting writes down a UPC. Unfortunately, you can tell his 4s...Problem 20MS:
Check your check. Find the bank code on your check. Verify that it is a valid bank code.Problem 23MS:
UPC your friends. Have a friend find a product that has a 12-digit UPC. Ask your friend to carefully...Problem 24MS:
Whoops. A UPC for a product is Explain why the errors in the following misread versions of this UPC...Problem 25MS:
Whoops again. A bank code is Explain why the errors in the following misread versions of this bank...Problem 26MS:
Mod remainders (S). Where would 129 be on a mod 13 clock (which goes from 0 to 12)? What is the...Problem 27MS:
More mod remainders. Where would 2015 be on a mod 7 clock? What is the remainder when 2015 is...Problem 28MS:
Money orders. U.S. Postal Money Orders have a 10-digit serial number and a check digit. The check...Problem 29MS:
Airline tickets. An airline ticket identification number is a 14-digit number. The check digit is...Problem 30MS:
UPS. United Parcel Service uses the same check digit method used on U.S. Postal Money Orders and...Problem 31MS:
Check a code. U.S. Postal Money Order serial numbers, airline ticket identification numbers, UPS...Problem 32MS:
ISBN-13. The 13-digit book identification number, called the International Standard Book Number...Problem 34MS:
ISBN-13 error. The ISBN-13 978-4-1165-9105-4 is incorrect. Two adjacent digits have been transposed....Problem 35MS:
Brush up your Shakespeare. Find a book containing a play by Shakespeare and check its ISBN-13.Problem 36MS:
Mods and remainders. Use the Division Algorithm (see Section 2.3) to show that the remainder when a...Problem 37MS:
Catching errors (H). Give some examples in which the UPC check digit does not detect an error of two...Problem 38MS:
Why three? In the UPC, why is 3 the number every other digit is multiplied by rather than 6? (Hint:...Problem 39MS:
A mod surprise. For each number n from 1 to 4, compute n2 mod 5. Then for each n, compute n3 mod 5...Problem 40MS:
A prime magic trick. Pick a prime number and call it p. Now pick any natural number smaller than p...Problem 45MS:
One congruence, two solutions. Find two different natural numbers that are each a solution to...Problem 46MS:
Chinese remainder. Find one natural number x that simultaneously satisfies both x0mod2 and x1mod3.Problem 47MS:
More remainders. Find one natural number z that simultaneously satisfies z1mod2,z1mod3, and z1mod5....Browse All Chapters of This Textbook
Chapter 2.1 - CountingChapter 2.2 - Numerical Patterns In NatureChapter 2.3 - Prime Cuts Of NumbersChapter 2.4 - Crazy Clocks And Checking Out BarsChapter 2.5 - Public Secret Codes And How To Become A SpyChapter 2.6 - The Irrational Side Of NumbersChapter 2.7 - Get RealChapter 3.1 - Beyond NumbersChapter 3.2 - Comparing The InfiniteChapter 3.3 - The Missing Member
Chapter 3.4 - Travels Toward The Stratosphere Of InfinitiesChapter 3.5 - Straightening Up The Circ LeChapter 4.1 - Pythagoras And His HypotenuseChapter 4.2 - A View Of An Art GalleryChapter 4.3 - The Sexiest RectangleChapter 4.4 - Soothing Symmetry And Spinning PinwheelsChapter 4.5 - The Platonic Solids Turn AmorousChapter 4.6 - The Shape Of Reality?Chapter 4.7 - The Fourth DimensionChapter 5.1 - Rubber Sheet GeometryChapter 5.2 - The Band That Wouldn't Stop PlayingChapter 5.3 - Knots And LinksChapter 5.4 - Fixed Points, Hot Loops, And Rainy DaysChapter 6.1 - Circuit TrainingChapter 6.2 - Feeling Edgy?Chapter 6.3 - Plane Old GraphsChapter 6.4 - NetworkingChapter 7.1 - ImagesChapter 7.2 - The Infinitely Detailed Beauty Of FractalsChapter 7.3 - Between DimensionsChapter 7.4 - The Mysterious Art Of Imaginary FractalsChapter 7.5 - The Dynamics Of ChangeChapter 7.6 - Predetermined ChaosChapter 8.1 - Chance SurprisesChapter 8.2 - Predicting The Future In An Uncertain WorldChapter 8.3 - Random ThoughtsChapter 8.4 - Down For The CountChapter 8.5 - Drizzling, Defending, And DoctoringChapter 9.1 - Stumbling Through A Minefield Of DataChapter 9.2 - Getting Your Data To Shape UpChapter 9.3 - Looking At Super ModelsChapter 9.4 - Go FigureChapter 9.5 - War, Sports, And TigersChapter 10.1 - Great ExpectationsChapter 10.2 - RiskChapter 10.3 - Money MattersChapter 10.4 - Peril At The PollsChapter 10.5 - Cutting Cake For Greedy People
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