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# Mathematics Applied to the Modern World MATH 123

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This 5 page Study Guide was uploaded by Mr. Jayde Auer on Friday October 23, 2015. The Study Guide belongs to MATH 123 at University of Idaho taught by Staff in Fall. Since its upload, it has received 95 views. For similar materials see /class/227762/math-123-university-of-idaho in Mathematics (M) at University of Idaho.

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Date Created: 10/23/15

E 0 Math 123 Study Guide In a box of candy there are approximately 8 different color types of candy There are exactly three servings in each box In each serving there are 26 pieces of candy Are there at least three pieces of candy with the same color type in each box Explain why or why not In the game of Fibonacci Nim you start with 18 sticks how many should be removed in the rst round List the 8 Fibonacci numbers Using divisibility rules nd ifthe number 95687125456 is divisible by 8 Using divisibility rules nd ifthe number 4118711911 is divisible by 11 You start a quiz at 400 in the aftemoon you finish 625 hours later what time is it when you nish List the rst ve perfect squares Find the covered digit in the following UPC code 1 52118 23867 I 9 Llst tlne rstmne pnme numbers 10 Is tlnere abneetbbne correspondence between tlne set E N sgt andtlne set 1 2 3 4 5 by Show yourwork Explam why or why not ll Let N Natural numbers w Whole numbers 1 Integers Q Ratrbnal numbers 5 Irratrbnal numbers and R Real numbers llst all tlnat belong to 785 79 45 o 12 Draw a gure that eontalns several reduced eoples ofltself other than slerprnslu39s tnangle v m annually How mueln easn wlll Joe have m hls savmgs aeeount a er 1 year 2 years 3 years and4years7 14 Complete two generaubns usmg tlne game ofllfe 15 Draw the rst three steps ofKoeh39s curve 16 The height of golden rectangle is 4 Using the formula bh l52 what is the base of the rectangle 17 Draw a rectangle 5cm by 8cm Use this golden rectangle to construct a golden spiral Show the rst seven arcs 18 Draw two examples of a Sierpinski triangle Divisihili Rules for Whole Numbers A number is divisible y if he lusl digit is divisible by 2 3 if the sum of the digits is divisible by 3 4 il the last lwn digits lakcn together as one number is divisible by 4 5 if the lust digil is 0 ur 5 6 il it is divisible by both 2 and 3 it the last three digits taken togclhcr as one number is divisible by 8 an e il the sum nfdigits is divisiqu by 9 5 if the 1st1 digit is 0 ifthe difference between the sum oftlic cvcn placed digits and Lhc sum of the odd placed digits is divisible by II For example 8471986 is no divisible by I 1 because 8796 4l8l7 Note that quotlast digitquot means the units or ones digit Fnr example test 51729364582 for divisibilily by 2 l l A Combined Method for Division 91 7 lll and 13 Example Determine if 33253663472 l4 is divisible by 7 II and 13 Step I Group the digits by threes numbering from the right eeeew Step 2 Add the even numbered groups together 253 472 725 Step 3 Add tin odd numbered groups together 33 i 663 614 l3l0 Step 4 Find the difference between the two sums l3l0 7 725 i 585 If this difference is divisible by 7 ll or l3 then the original number is divisible by 7 II or I respectively dues not divide into i divides into 13 Isss Si 13 I 332536634726l4 Use this rule to test 77293645321br divisibility by 7 ll or l3 NOTE ten are two rules for testing divisibility by II The rst rule works on for divisihility by l l the second rule works for divisibility by 7 I l and l3

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