Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4.4, Problem 10E
To determine
The number of distinct symbols needed for the base seven positional systems.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Each symbol in the Braille code is represented by a rectangular arrangement of six dots, each of which may be raised or flat against a smooth background. For instance, when the word Braille is spelled out, it looks like this: Given that at least one of the six dots must be raised, how many symbols can be represented in the Braille code?
Which of the following symbols are part of the Hindu-Arabic system?
(select all that apply)
01
00
06
Question Help: Message instructor
Calculator
Submit Question
An island is considering adding another character to their vehicle license plates in order to increase the number of license plates available. Currently, a license plate must have exactly four-character spaces. Each character space may be filled with any capital letter other than I, B, Z, or O or any number between, and including 0 to 9. Letters and numbers may repeat on the plates.(a) How many different license plate numbers are available under the current structure of exactly four characters per plate?
(b) If the state required all license plates to have exactly five characters instead of four, how many different lisense plate numbers would be available with the additional character requirement?
(c) How many times bigger is the set of license plate numbers with exactly five characters than that with the set of four characters?
Chapter 4 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 4.1 - Convert each Egyptian numeral to Hindu-Arabic...Ch. 4.1 - Convert each Egyptian numeral to Hindu-Arabic...Ch. 4.1 - Prob. 3ECh. 4.1 - Convert each Egyptian numeral to Hindu-Arabic...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Convert each Hindu-Arabic numeral to Egyptian...Ch. 4.1 - Chapter Z of the hook of Numbers in the Bible...Ch. 4.1 - Prob. 10E
Ch. 4.1 - Chapter 1 of the hook of Numbers in the Bible...Ch. 4.1 - Prob. 12ECh. 4.1 - Chapter 1 of the hook of Numbers in the Bible...Ch. 4.1 - Chapter 1 of the hook of Numbers in the Bible...Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic form....Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic...Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic form....Ch. 4.1 - Convert each Roman numeral to Hindu-Arabic form....Ch. 4.1 - Convert each Hindu-Arabic numeral to Roman form....Ch. 4.1 - Prob. 20ECh. 4.1 - Convert each Hindu-Arabic numeral to Roman...Ch. 4.1 - Convert each Hindu-Arabic numeral to Roman form....Ch. 4.1 - Convert each Chinese numeral to Hindu-Arabic form.Ch. 4.1 - Convert each Chinese numeral to Hindu-Arabic...Ch. 4.1 - Convert each Chinese numeral to Hindu-Arabic form.Ch. 4.1 - Prob. 26ECh. 4.1 - Convert each Hindu-Arabic numeral to Chinese...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Convert each Hindu-Arabic numeral to Chinese...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Prob. 36ECh. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Work each addition or subtraction problem, using...Ch. 4.1 - Prob. 47ECh. 4.1 - Use the Egyptian algorithm to find each...Ch. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - In Exercises 51 and 52, convert all numbers to...Ch. 4.1 - In Exercises 51 and 52, convert all numbers to...Ch. 4.1 - Explain why each step would be an improvement in...Ch. 4.1 - Explain why each step would be an improvement in...Ch. 4.1 - Explain why each step would be an improvement in...Ch. 4.1 - Prob. 56ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - Prob. 58ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - Prob. 60ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - The ancient Egyptian system described in this...Ch. 4.1 - The ancient Egyptian system described in this...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 2ECh. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Identify each numeral in Exercises 1-20 as...Ch. 4.2 - Prob. 21ECh. 4.2 - Write each number as a Babylonian numeral. 32Ch. 4.2 - Write each number as a Babylonian numeral.
23....Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Write each number as a Babylonian numeral. 3280Ch. 4.2 - Write each number as a Babylonian numeral.
27....Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Write each number as a Mayan numeral. 4694Ch. 4.2 - Write each number as a Mayan numeral. 4328Ch. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Write each number as a Greek numeral.Ch. 4.3 - Write each number in expanded form. 73Ch. 4.3 - Write each number in expanded form. 265Ch. 4.3 - Write each number in expanded form
3. 8335
Ch. 4.3 - Write each number in expanded form 12,398Ch. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Perform each subtraction using the nines...Ch. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Identify the number represented on each...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Sketch an abacus to show each number.
36. 183
Ch. 4.3 - 2547 Sketch an abacus to show each number.Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Use the lattice method to find each product. 32741Ch. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Refer to Example 10 where Napier's rods were used....Ch. 4.3 - Prob. 45ECh. 4.3 - Use Napier's rods (Figure 9) to find each product....Ch. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Use the Russian peasant method to find each...Ch. 4.3 - Prob. 53ECh. 4.3 - The Hindu-Arabic system is positional and uses ten...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - List the first twenty counting numbers in each...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Write (in the same base) the counting numbers just...Ch. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Determine, in each base, the least and greatest...Ch. 4.4 - Determine, in each base, the least and greatest...Ch. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Convert each number to decimal form by expanding...Ch. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Convert each number from decimal form to the given...Ch. 4.4 - Convert each number from decimal form to the given...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Make each conversion as indicated. 6748nine to...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Convert each number from octal form to binary...Ch. 4.4 - Convert each number from binary form to octal...Ch. 4.4 - Convert each number from binary form to octal...Ch. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Make each conversion as indicated.
45. 101101two...Ch. 4.4 - Make each conversion as indicated.
46....Ch. 4.4 - Identify the greatest number from each list.
47.
Ch. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - There is a theory that twelve would be a better...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Break each code into groups of seven digits and...Ch. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - If the IP address and subnet mask for a computer...Ch. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - In our decimal system, we distinguish odd and even...Ch. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Determine whether the given base-five numeral...Ch. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Determine whether the given base-five numeral...Ch. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4 - In each case, identify the numeration system, and...Ch. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Perform each operation using the alternative...Ch. 4 - Perform each operation using the alternative...Ch. 4 - Prob. 9TCh. 4 - Convert each number to base ten. 243fiveCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Briefly explain each of the following. the...Ch. 4 - Briefly explain each of the following.
22 the...Ch. 4 - Prob. 23TCh. 4 - Briefly explain each of the following. Illustrate...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- In Exercises 29 through 32, raise the following signed numbers to the indicated powers. 31. a.(0.4)3 b. 0.936 c. (1.58)2 d. 0.733arrow_forwardor fuo shep giva balow- 389arrow_forwarda. the base-ten number ___is represented by this abacus b. the base-ten number ___is represented by this abacusarrow_forward
- Every Wayne State student has an access id; the 6-character name consisting of 2 letters (a-z) followed by 4 numbers (0-9) a. How many access ids are possible? b. How many access ids are possible if letters and numbers cannot be repeated?arrow_forwardWhen the numbers from 1 to 1200 are written out in decimal notation, how many of each of these digits are used?a) 0c) 5d) 9arrow_forwardA standard-issue 2020 New Jersey license plate had one letter, then two digits, followed by three letters. New Jersey DOO SPA Garden State These plates were not allowed to have letters D, T, or X in the fourth position, or the letters I, O, or Q in any position. With these restrictions, how many different license plates were possible in 2020?arrow_forward
- each character in a password is either a digit(0-9) or lowercase letter (a-z). how many valid passwords are there with the given restrictions? length is 14arrow_forwardA social media account requires a 6-character password. Passwords should only contain numbers from 1 to 9 and capital letters A to E. How many different passwords can you generatea. if the characters should not repeat?b. if the characters repeat?c. if the first 3 characters are numbers and the last 3 characters are letters, which are all distinct?arrow_forwardHow many arrangements of the word MATHEMATICS have each consonantadjacent to some vowel?arrow_forward
- in a certain state, each standard automobile license plate number consist of two letters followed by a five-digit number. how many distint license plate numbers are possible in this state?arrow_forwardThe New College is letting students choose a new NewnetID username. Under the new system, each username must be exactly 8 characters long; available characters are lowercase letters (a-z, 26 possible choices) ii Property of Sevan Krikor Gulesserian and numerical digits (0-9, 10 possible choices). New would like the first character and the last three characters to be numerical digits, and the middle four characters to be letters. a. How many different NNewnetID usernames are possible? b. How many different UCInetID usernames are possible if none of the numerical digits can be used more than once?arrow_forwardA student number system for a county requires that the student number be 6 characters, 4 numbers followed by 2 letters. The first 4 characters are any single digit, O-9, but cannot repeat. The last 2 characters must be a letter but cannot repeat. How many unique student numbers are possible? a) 3,276,000 b) 3,407,040 c) 6,760,000 d) 6,500,000arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Find number of persons in a part with 66 handshakes Combinations; Author: Anil Kumar;https://www.youtube.com/watch?v=33TgLi-wp3E;License: Standard YouTube License, CC-BY
Discrete Math 6.3.1 Permutations and Combinations; Author: Kimberly Brehm;https://www.youtube.com/watch?v=J1m9sB5XZQc;License: Standard YouTube License, CC-BY
How to use permutations and combinations; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=NEGxh_D7yKU;License: Standard YouTube License, CC-BY
Permutations and Combinations | Counting | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=0NAASclUm4k;License: Standard Youtube License
Permutations and Combinations Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=XJnIdRXUi7A;License: Standard YouTube License, CC-BY