A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
13th Edition
ISBN: 9780135183885
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.2, Problem 3MC
Mathematical Connections
In the Sieve of Eratosthenes for numbers less than
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Solve for the matrix X:
X
(2 7³) x + ( 2 ) - (112)
6
14
8
5.
Solve for the matrix X. (Hint: we can solve AX
-1
= B whenever A is invertible)
2
3
0
Χ
2
=
3
1
c) Sketch the grap
109. Hearing Impairments. The following function
approximates the number N, in millions, of
hearing-impaired Americans as a function of
age x:
N(x) = -0.00006x³ + 0.006x2
-0.1x+1.9.
a) Find the relative maximum and minimum of
this function.
b) Find the point of inflection of this function.
Sketch the graph of N(x) for 0 ≤ x ≤ 80.
Chapter 4 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Ch. 4.1 - Prob. 1MCCh. 4.1 - A customer wants to mail a package. The postal...Ch. 4.1 - Prob. 4MCCh. 4.1 - Prob. 5MCCh. 4.1 - A number in which each digit except 0 appears...Ch. 4.1 - Prob. 7MCCh. 4.1 - Three tiles marked x, yandz need three different...Ch. 4.1 - Prob. 10MCCh. 4.1 - Prob. 11MCCh. 4.1 - Jamila claims 10 is both even and odd because it...
Ch. 4.1 - Sabine claimed that a whole number is divisible by...Ch. 4.1 - Your seventh-grade class has just completed a unit...Ch. 4.1 - A student claims that a number is divisible by 24...Ch. 4.1 - Alejandro claims zero is neither even nor odd...Ch. 4.1 - Prob. 17MCCh. 4.1 - Andy has three cards, A, B, and C. Each card has...Ch. 4.1 - Prob. 2NAEPCh. 4.1A - If you multiply an even number by 2 and add 1, is...Ch. 4.1A - Classify each of the following statements as true...Ch. 4.1A - Use the divisibility test to test each of the...Ch. 4.1A - Using divisibility test, solve each of the...Ch. 4.1A - Find all possible single digits that can be placed...Ch. 4.1A - Find in the following blanks with the greatest...Ch. 4.1A - Prob. 7ACh. 4.1A - Without using Calculator, classify each of the...Ch. 4.1A - Classify each of the following statements as true...Ch. 4.1A - Find if possible a whole number solution that...Ch. 4.1A - Classify each of the following statements as true...Ch. 4.1A - An archery target consists of five concentric...Ch. 4.1A - To find the remainder when a number is divided by...Ch. 4.1A - If 45|n, what other whole numbers divide n? Why?Ch. 4.1A - Devise a test for divisibility by 16.Ch. 4.1A - A palindrome is a number that reads the same...Ch. 4.1A - Prove the test for divisibility by 9 for any...Ch. 4.1A - If the five-digit number aa248 is divisible by 9,...Ch. 4.1B - If you multiply an odd number by 2 and add 1, is...Ch. 4.1B - Without using a calculator, test each of the...Ch. 4.1B - Using divisibility test, solve each of the...Ch. 4.1B - Find all possible single digits that can be placed...Ch. 4.1B - Without using a calculator, classify each of the...Ch. 4.1B - Prob. 7ACh. 4.1B - Prob. 8ACh. 4.1B - Prob. 9ACh. 4.1B - Prob. 10ACh. 4.1B - The bookstore marked some notepads down from 2.00...Ch. 4.1B - Classify each of the following statements as true...Ch. 4.1B - In a football game, a touchdown with an extra...Ch. 4.1B - Classify each of the following statements as true...Ch. 4.1B - Compete the following table where n is the given...Ch. 4.1B - If 28|n, what other whole numbers divide n? Why?Ch. 4.1B - Devise a test for divisibility by 25.Ch. 4.1B - Use the casting out nines approach outlined in...Ch. 4.1B - Prob. 19ACh. 4.1B - Prove the test for divisibility by 9 for any...Ch. 4.1B - For what digit a is the five-digit number a6a14...Ch. 4.2 - Mathematical Connections Explain why the product...Ch. 4.2 - Mathematical Connections Explain why the product...Ch. 4.2 - Mathematical Connections In the Sieve of...Ch. 4.2 - Mathematical Connections Let M=2357+11131719,...Ch. 4.2 - Prob. 5MCCh. 4.2 - Prob. 6MCCh. 4.2 - Prob. 7MCCh. 4.2 - A perfect square is a number that can be written...Ch. 4.2 - Prob. 9MCCh. 4.2 - Prob. 10MCCh. 4.2 - Prob. 11MCCh. 4.2 - Mathematical Connections When students asked their...Ch. 4.2 - Mathematical Connections a. In which of the...Ch. 4.2 - To test for divisibility by 12, one student...Ch. 4.2 - Prob. 15MCCh. 4.2 - Prob. 16MCCh. 4.2 - Prob. 17MCCh. 4.2 - Prob. 18MCCh. 4.2 - Prob. 19MCCh. 4.2 - Prob. 20MCCh. 4.2 - Prob. 21MCCh. 4.2 - Prob. 22MCCh. 4.2 - Prob. 23MCCh. 4.2 - Prove that if a number is divisible by 45, then it...Ch. 4.2 - Prob. 1NAEPCh. 4.2 - Prob. 2NAEPCh. 4.2A - a. Fill in the missing numbers in the following...Ch. 4.2A - Prob. 2ACh. 4.2A - Find the prime factorization of the following...Ch. 4.2A - What is the greatest prime that must be considered...Ch. 4.2A - Question. Determine which of the following Number...Ch. 4.2A - Find the least natural number that is divisible by...Ch. 4.2A - Find the least three-digit whole number that has...Ch. 4.2A - Prob. 8ACh. 4.2A - Prob. 9ACh. 4.2A - Explain why 2332253 is not a prime factorization...Ch. 4.2A - Is it possible to find non-zero whole numbers...Ch. 4.2A - If 32n=26355473117, explain why 2357116 is a...Ch. 4.2A - Is 74113 a factor of 75113? Explain why or why...Ch. 4.2A - Prob. 14ACh. 4.2A - Prob. 15ACh. 4.2A - Briah and Emma are on the same swim team for the...Ch. 4.2A - A women with a basket of eggs finds that if she...Ch. 4.2A - A band of 17 pirates stole a sack of golden coins....Ch. 4.2A - A license plate is in two parts, a two-digit...Ch. 4.2A - The prime numbers 11 and 13 are twin primes...Ch. 4.2A - A whole number is a perfect number if the sum of...Ch. 4.2B - a. Fill in the missing numbers in the following...Ch. 4.2B - Use a factor tree to find the prime factorization...Ch. 4.2B - Find the prime factorization of the following...Ch. 4.2B - What is the greatest prime that must be considered...Ch. 4.2B - Determine which of the following numbers are...Ch. 4.2B - Find the least natural number that is divisible by...Ch. 4.2B - Find the greatest four-digit whole number that has...Ch. 4.2B - Prob. 8ACh. 4.2B - Find the prime factorization of each of the...Ch. 4.2B - Explain why 225392 is not a prime factorization...Ch. 4.2B - Is it possible to find non-zero whole numbers...Ch. 4.2B - If 2n=26355473117 explain why 2357116 is a factor...Ch. 4.2B - Prob. 13ACh. 4.2B - Prob. 14ACh. 4.2B - Mr. Wong wants to build a new rectangular patio....Ch. 4.2B - Prob. 16ACh. 4.2B - Jose has fewer than 100 baseball cards. If he puts...Ch. 4.2B - Isabelle, Noelle, and Juliette acquired a pile of...Ch. 4.2B - For a collection of red, green and blue beads,...Ch. 4.2B - A prime such as 7331 is a magic prime because any...Ch. 4.2B - A whole number is an abundant number if the sum of...Ch. 4.3 - Can two non-zero whole numbers have a greatest...Ch. 4.3 - Prob. 2MCCh. 4.3 - Prob. 3MCCh. 4.3 - Prob. 4MCCh. 4.3 - Is it true that every common divisor of two...Ch. 4.3 - Prob. 6MCCh. 4.3 - Prob. 7MCCh. 4.3 - Prob. 8MCCh. 4.3 - Prob. 9MCCh. 4.3 - Prob. 10MCCh. 4.3 - Explain why GCD(a,b) is always a divisor of...Ch. 4.3 - Prob. 12MCCh. 4.3 - Eleanor claims that the GCD(0,a)=0. Is she...Ch. 4.3 - A student claims the GCD(0,0) does not exist. Is...Ch. 4.3 - Prob. 15MCCh. 4.3 - Prob. 16MCCh. 4.3 - Prob. 17MCCh. 4.3 - Prob. 18MCCh. 4.3 - Prob. 19MCCh. 4.3 - Prob. 20MCCh. 4.3 - Prob. 21MCCh. 4.3 - Prob. 22MCCh. 4.3 - Prob. 1NAEPCh. 4.3A - Use colored rods to find the GCD and the LCM of 6...Ch. 4.3A - Prob. 2ACh. 4.3A - Find the GCD and the LCM for each of the following...Ch. 4.3A - Find the GCD for each pair of numbers using the...Ch. 4.3A - Find the LCM for each of the following groups of...Ch. 4.3A - The product of two numbers is 1734 and their GCD...Ch. 4.3A - The GCD of two numbers is 19 and their LCM is 228....Ch. 4.3A - Prob. 8ACh. 4.3A - Prob. 9ACh. 4.3A - To find GCD24, 20, 12, it is possible to find...Ch. 4.3A - Show that 97, 219, 988, 751 and 4 are relatively...Ch. 4.3A - Draw Venn diagrams to show the prime factors for...Ch. 4.3A - Find three pairs (a,b) such that LCM(a,b)=48.Ch. 4.3A - Find all whole numbers x such that GCD(49,x)=1 and...Ch. 4.3A - In Quinns dormitory room, there are three...Ch. 4.3A - A company is running a promotion on Facebook....Ch. 4.3A - If there were to be 9 boys and 6 girls at a party...Ch. 4.3A - Three motorcyclists ride around a circular course...Ch. 4.3A - Anna has made 42 chocolate chip cookies and 54...Ch. 4.3A - The front wheel of a tricycle has a circumference...Ch. 4.3A - Jazz has 72 yd of red ribbon and 42 yd of blue...Ch. 4.3B - Use colored rods to find the GCD and the LCM of 4...Ch. 4.3B - Find the GCD and LCM for each of the following...Ch. 4.3B - Find the GCD and LCM for each of the following...Ch. 4.3B - Find the GCD and LCM for each of the following...Ch. 4.3B - Find the LCM for each of the following groups of...Ch. 4.3B - The product of two numbers is 5880 and their GCD...Ch. 4.3B - The GCD of two numbers is 11 and their LCM is 330....Ch. 4.3B - Assume a and b are natural numbers and answer the...Ch. 4.3B - Classify each of the following statements as true...Ch. 4.3B - To find GCD 24, 20, 12, it is possible to find GCD...Ch. 4.3B - Show that 181, 345, 913 and 11 are relatively...Ch. 4.3B - Draw Venn diagrams to show the prime factors for...Ch. 4.3B - Find three pairs (a,b) such that LCM(a,b)=60.Ch. 4.3B - Find all whole numbers x such that GCD(25,x)=1 and...Ch. 4.3B - A light display has colored lights, each of which...Ch. 4.3B - A movie rental store gave a free popcorn to every...Ch. 4.3B - Bonita purchases 245 white bouncy balls, 238...Ch. 4.3B - A college runs two different bus routes starting...Ch. 4.3B - By selling cookies at 24c each, Cheng made enough...Ch. 4.3B - Gina runs every 4 days, cycles every 16 days, and...Ch. 4.3B - Kobe has collected 300 football card and 264...Ch. 4.CR - Classify each of the following statements as true...Ch. 4.CR - Test each of the following numbers for...Ch. 4.CR - Find the greatest digit if possible, that makes...Ch. 4.CR - Prob. 4CRCh. 4.CR - How can you tell whether a number is divisible by...Ch. 4.CR - Prob. 6CRCh. 4.CR - Find all the positive divisors of 144.Ch. 4.CR - Prob. 8CRCh. 4.CR - Prob. 9CRCh. 4.CR - Determine whether each of the following numbers is...Ch. 4.CR - Prob. 11CRCh. 4.CR - Prob. 12CRCh. 4.CR - Find the prime factorization of each of the...Ch. 4.CR - Prob. 14CRCh. 4.CR - Prob. 15CRCh. 4.CR - Find the GCD for each of the following pairs of...Ch. 4.CR - Find the LCM of each of the following gropus of...Ch. 4.CR - Prob. 19CRCh. 4.CR - Prob. 20CRCh. 4.CR - Prob. 21CRCh. 4.CR - Prob. 22CRCh. 4.CR - Two bells ring at 8:00A.M for the remainder of the...Ch. 4.CR - Midas has 120 gold coins and 144 silver coins. He...Ch. 4.CR - Jane and Ramon are running laps on a track. If...Ch. 4.CR - Prob. 26CRCh. 4.CR - Prob. 27CRCh. 4.CR - Prob. 28CRCh. 4 - NOW TRY THIS For any whole numbers aandb,...Ch. 4 - NOW TRY THIS If d(x+y+z) and dz, why d(x+y)?Ch. 4 - Prob. 3NTCh. 4 - NOW TRY THIS 4 Colored rods are used in the...Ch. 4 - Prob. 5NTCh. 4 - Prob. 6NT
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
- The purpose of this problem is to solve the following PDE using a numerical simulation. { af (t, x) + (1 − x)= - Ət af 10²ƒ + მე 2 მე2 = 0 f(ln(2), x) = ex (a) The equation above corresponds to a Feynman-Kac formula. Identify the stochastic process (X)20 and the expectation that would correspond to f(t, x) explicitly. (b) Use a numerical simulation of (X+) above to approximate the values of f(0, x) at 20 discrete points for x, uniformly spaced in the interval [0,2]. Submit a graph of your solution. (c) How would you proceed to estimate the function f(0.1, x). (Briefly explain your method, you do not need to do it.) Extra question: You can explicitly determine the function in (b) (either as a conditional expectation or by solving the PDE). Compare the theoretical answer to your solution.arrow_forwardWrite p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²arrow_forward3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forward
- Rewrite the equation to solve for T instead of Pout. Pout= - - 8.36 [(1 ) Latin[(1)(1)] 1/2} {(1) 1/2 + (1-T)/2} x {1 - [(1 − )(1 − − T)] 1/2} -arrow_forwardA sequence is given by the formula an = n/2n^2 +1 . Show the sequence is monotone decreasing for n >1. (Hint: What tool do you know for showing a function is decreasing?)arrow_forwardA sequence is given by the formula an = n 2n2 +1 . Show the sequence is monotone decreasing for n 1. (Hint: What tool do you know for showing a function is decreasing?)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
The Fundamental Counting Principle; Author: AlRichards314;https://www.youtube.com/watch?v=549eLWIu0Xk;License: Standard YouTube License, CC-BY
The Counting Principle; Author: Mathispower4u;https://www.youtube.com/watch?v=qJ7AYDmHVRE;License: Standard YouTube License, CC-BY