Mathematics All Around (6th Edition)
Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134434681
Author: Tom Pirnot
Publisher: PEARSON
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Chapter 5.1, Problem 68E

The counting boards In Exercises 65 − 68 show addition problems similar to the one we did in Example 6 . Show each sum using as few counters as possible.

Chapter 5.1, Problem 68E, The counting boards In Exercises 6568 show addition problems similar to the one we did in Example 6.

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Chapter 5 Solutions

Mathematics All Around (6th Edition)

Ch. 5.1 - Write the Egyptian numerals using Hindu-Arabic...Ch. 5.1 - Write the Egyptian numerals using Hindu-Arabic...Ch. 5.1 - Prob. 3ECh. 5.1 - Write the Egyptian numerals using Hindu-Arabic...Ch. 5.1 - Write each Hindu-Arabic numeral using Egyptian...Ch. 5.1 - Write each Hindu-Arabic numeral using Egyptian...Ch. 5.1 - Prob. 7ECh. 5.1 - Write each Hindu-Arabic numeral using Egyptian...Ch. 5.1 - Prob. 9ECh. 5.1 - Perform each of the following addition problems...
Ch. 5.1 - Prob. 11ECh. 5.1 - Perform each of the following addition problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Perform each of the following subtraction problems...Ch. 5.1 - Prob. 17ECh. 5.1 - Use the Egyptian method of doubling to calculate...Ch. 5.1 - Prob. 19ECh. 5.1 - Use the Egyptian method of doubling to calculate...Ch. 5.1 - Prob. 21ECh. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Write each Roman numeral using Hindu-Arabic...Ch. 5.1 - Prob. 31ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Prob. 33ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Prob. 35ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Prob. 37ECh. 5.1 - Write each numeral in Roman notation There may be...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each Chinese numeral as a Hindu-Arabic...Ch. 5.1 - Write each numeral using Chinese numerals. 495Ch. 5.1 - Write each numeral using Chinese numerals. 726Ch. 5.1 - Write each numeral using Chinese numerals. 2,805Ch. 5.1 - Write each numeral using Chinese numerals. 3,926Ch. 5.1 - Write each numeral using Chinese numerals. 9,846Ch. 5.1 - Write each numeral using Chinese numerals. 8,054Ch. 5.1 - The Great Pyramid at Giza was completed in . Write...Ch. 5.1 - Cheops, the builder of the Great Pyramid at Giza,...Ch. 5.1 - An Egyptian merchant has a warehouse that contains...Ch. 5.1 - An ancient Egyptian merchant had on hand bushels...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - Using Egyptian notation, the number 100,...Ch. 5.1 - The emperor Aurelius Constantine, who lived from...Ch. 5.1 - By 285ad, the Roman Empire had become so vast that...Ch. 5.1 - Frequently, Roman numerals are used today in movie...Ch. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Frequently, Roman numerals are used today in movie...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The counting boards In Exercises 6568 show...Ch. 5.1 - The oldest discovery of Chinese written numerals...Ch. 5.1 - When Marco Polo visited China in 1274, he was...Ch. 5.1 - Explain two advantages of the Roman numeration...Ch. 5.1 - The Roman numeration system has symbols for 5,50,...Ch. 5.1 - The traditional Chinese numeration system had no...Ch. 5.1 - Research the Ionic Greek numeration system, which...Ch. 5.1 - In the Egyptian numeration system, whenever we...Ch. 5.1 - Suppose that Egyptian numeration was based on 5...Ch. 5.1 - Invent an Egyptian type of numeration system using...Ch. 5.1 - Write the number 1,999 in Roman numerals in as...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.1 - Egyptian mathematics had a unique way of writing...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write the following Babylonian numerals as...Ch. 5.2 - Write each number using Babylonian notation. 8,235Ch. 5.2 - Write each number using Babylonian notation. 7,331Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Write each number using Babylonian notation....Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Translate each of the following Mayan numerals to...Ch. 5.2 - Write each number using Mayan notation. 17Ch. 5.2 - Write each number using Mayan notation. 48Ch. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Prob. 63ECh. 5.2 - Prob. 64ECh. 5.2 - Prob. 65ECh. 5.2 - Prob. 66ECh. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Prob. 69ECh. 5.2 - Prob. 70ECh. 5.2 - Prob. 71ECh. 5.2 - Prob. 72ECh. 5.2 - Prob. 73ECh. 5.2 - Prob. 74ECh. 5.2 - Prob. 75ECh. 5.2 - Prob. 76ECh. 5.2 - Prob. 77ECh. 5.2 - Prob. 78ECh. 5.2 - Prob. 79ECh. 5.2 - Prob. 80ECh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - Prob. 58ECh. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Prob. 62ECh. 5.3 - Prob. 63ECh. 5.3 - Prob. 64ECh. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - Prob. 67ECh. 5.3 - Prob. 68ECh. 5.3 - Prob. 69ECh. 5.3 - Prob. 70ECh. 5.3 - Prob. 71ECh. 5.3 - Prob. 72ECh. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.3 - Prob. 79ECh. 5.3 - Prob. 80ECh. 5.3 - Prob. 81ECh. 5.3 - Prob. 82ECh. 5.3 - Prob. 83ECh. 5.3 - Prob. 84ECh. 5.3 - Prob. 85ECh. 5.3 - Prob. 86ECh. 5.3 - Prob. 87ECh. 5.3 - Prob. 88ECh. 5.3 - Prob. 89ECh. 5.3 - Prob. 90ECh. 5.3 - Prob. 91ECh. 5.3 - Prob. 92ECh. 5.3 - Prob. 93ECh. 5.3 - Prob. 94ECh. 5.3 - Prob. 95ECh. 5.3 - Prob. 96ECh. 5.3 - Prob. 97ECh. 5.3 - Prob. 98ECh. 5.3 - Prob. 99ECh. 5.3 - Prob. 100ECh. 5.3 - Prob. 101ECh. 5.3 - Prob. 102ECh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Prob. 46ECh. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - Prob. 56ECh. 5.4 - a. Why are check digits important? Give an...Ch. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - Challenge Yourself When we do usual division of...Ch. 5.4 - Prob. 65ECh. 5.CR - Prob. 1CRCh. 5.CR - Prob. 2CRCh. 5.CR - Prob. 3CRCh. 5.CR - Prob. 4CRCh. 5.CR - Prob. 5CRCh. 5.CR - Prob. 6CRCh. 5.CR - Prob. 7CRCh. 5.CR - Prob. 8CRCh. 5.CR - Prob. 9CRCh. 5.CR - Prob. 10CRCh. 5.CR - Prob. 11CRCh. 5.CR - Prob. 12CRCh. 5.CR - Prob. 13CRCh. 5.CR - Prob. 14CRCh. 5.CR - Prob. 15CRCh. 5.CR - Prob. 16CRCh. 5.CR - Prob. 17CRCh. 5.CR - Prob. 18CRCh. 5.CR - Prob. 19CRCh. 5.CR - Prob. 20CRCh. 5.CR - Prob. 21CRCh. 5.CR - Prob. 22CRCh. 5.CR - Prob. 23CRCh. 5.CT - Write 3,685 in Roman notation.Ch. 5.CT - Prob. 2CTCh. 5.CT - Write 2647 and A3E16 as base-10 numerals.Ch. 5.CT - Prob. 4CTCh. 5.CT - Prob. 5CTCh. 5.CT - Prob. 6CTCh. 5.CT - Prob. 7CTCh. 5.CT - Prob. 8CTCh. 5.CT - Prob. 9CTCh. 5.CT - Prob. 10CTCh. 5.CT - Prob. 11CTCh. 5.CT - Prob. 12CTCh. 5.CT - Prob. 13CTCh. 5.CT - Prob. 14CTCh. 5.CT - Prob. 15CTCh. 5.CT - Prob. 16CTCh. 5.CT - Prob. 17CTCh. 5.CT - Prob. 18CTCh. 5.CT - Prob. 19CTCh. 5.CT - Prob. 20CTCh. 5.CT - Prob. 21CTCh. 5.CT - Prob. 22CT
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