Mathematics For Elementary Teachers With Activities
5th Edition
ISBN: 9780134423401
Author: Sybilla Beckmann
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.3, Problem 6P
Write three different expressions for the total number of curlicues in Figure 4.22. Each expression should involve only the following: the numbers 2, 3, 5, and 8; the multiplication symbol x or .; and parentheses. For each expression, use the definition of multiplication as we have described it to explain why your expression represents the total number of curlicues in Figure 4.22g.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1) let X: N R be a sequence and let Y: N+R
be the squence obtained from x by di scarding
the first meN terms of x in other words
Y(n) = x(m+h) then X converges to L
If and only is y converges to L-
11) let Xn = cos(n) where nyo prove
D2-1
that lim xn
= 0
by def.
h→00
ii) prove that for any irrational numbers ther
exsist asquence of rational numbers (xn)
converg to S.
Consider the graph/network plotted below.
1
6
5
3
Explicitly give (i.e., write down all of the entries) the adjacency matrix A of the graph.
. Given the function f: XY (with X and Y as above) defined as
f(2) = 2, f(4) = 1,
ƒ(6)=3, ƒ(8) = 2,
answer the following questions. Justify your answers.
(a) [4 points] Is f injective?
(b) [4 points] Is f surjective?
(c) [2 points] Is f bijective?
Chapter 4 Solutions
Mathematics For Elementary Teachers With Activities
Ch. 4.1 - Use this section’s definition of multiplication to...Ch. 4.1 - Write an Array word problem for 68=? . Explain...Ch. 4.1 - Write an Ordered Pair problem for 68=? . Explain...Ch. 4.1 - Write a Multiplicative Comparison word problem for...Ch. 4.1 - a. Write a Multiplicative Comparison word problem...Ch. 4.1 - Write a Multiplicative Comparison problem in which...Ch. 4.1 - Solve the three problems that are given in the 3...Ch. 4.1 - John, Trey, and Miles want to know how many...Ch. 4.1 - a. A 40-member club will elect a president and...Ch. 4.2 - Using the example 10 . 47 to illustrate, explain...
Ch. 4.2 - Mary says that 103.7=3.70. Why might Mary think...Ch. 4.2 - Now that you understand why multiplying a number...Ch. 4.2 - a. Find the decimal representation of 137 to at...Ch. 4.2 - Find the decimal representation of 141 to at least...Ch. 4.3 - There are 31 envelopes with 3 stickers in each...Ch. 4.3 - Here is Amy’s explanation for why the commutative...Ch. 4.3 - Using the definition of multiplication, explain...Ch. 4.3 - Use the definition of multiplication to explain...Ch. 4.3 - Figure A in Figure 4.21 I shows a 5-unit- high,...Ch. 4.3 - Write three different expressions for the total...Ch. 4.3 - Suppose you have 60 pennies arranged into 12...Ch. 4.3 - To calculate 3.80 mentally, we can just calculate...Ch. 4.3 - Write equations to show how the commutative and...Ch. 4.3 - Explain how to use the associative property of...Ch. 4.3 - Use the associative property of multiplication to...Ch. 4.3 - Explain how to make the following product easy to...Ch. 4.3 - Julia says that it’s easy to multiply a number by...Ch. 4.3 - Carmen says that it’s easy to multiply even...Ch. 4.3 - The Browns need new carpet for a room with a...Ch. 4.3 - If a roll of a certain kind of wrapping paper is...Ch. 4.3 - Ms. Dunn’s class wants to estimate the number of...Ch. 4.3 - Imagine that you are standing on a sandy beach,...Ch. 4.3 - A lot of gumballs are in a glass container. The...Ch. 4.3 - Figure 4.27 shows a grocery store display of cases...Ch. 4.3 - Use the facts that 1mile=1760yards 1yard=3feet...Ch. 4.3 - A roll of wrapping paper is 30 inches wide. When...Ch. 4.3 - Estimate how many neatly stacked hundred-dollar...Ch. 4.3 - * A cube that is 10 inches wide, 10 inches long,...Ch. 4.3 - * Investigate the following two questions, and...Ch. 4.3 - * The Better Baking Company is introducing a new...Ch. 4.4 - Ben and Charles are working on 4+3.2.10 Ben says...Ch. 4.4 - a. There are 6 cars traveling together. Each car...Ch. 4.4 - The students in Mrs. Black’s class are arranged as...Ch. 4.4 - Describe one collection of things whose total...Ch. 4.4 - There are 6 cars traveling together. Each car has...Ch. 4.4 - Draw arrays to help you explain why the equations...Ch. 4.4 - Explain how to use the distributive property to...Ch. 4.4 - Explain how to calculate 29 .20 mentally by using...Ch. 4.4 - Ted thinks that because 10.10=100and2.5=10, he...Ch. 4.4 - Working on the multiplication problem 21. 34,...Ch. 4.4 - Use the distributive property several times to...Ch. 4.4 - In Section 4.2, we drew pictures of bundled...Ch. 4.4 - *a. Use an ordinary calculator to calculate 666,...Ch. 4.4 - * Without using a calculator or computer and...Ch. 4.4 - * Check the following:...Ch. 4.4 - Determine which of the following two numbers is...Ch. 4.4 - * The square of a number is just the number times...Ch. 4.4 - * The square of a number is just the number times...Ch. 4.5 - Josh consistently remembers that 77=49 , but he...Ch. 4.5 - Demarcus knows his 1,2,and3 multiplication tables....Ch. 4.5 - Suppose that a student has learned the following...Ch. 4.5 - For each of the multiplication problems (a)...Ch. 4.5 - Suppose that the sales tax where you live is 6%....Ch. 4.5 - Clint and Sue went out to dinner and had a nice...Ch. 4.5 - Your favorite store is having a 10%-off sale,...Ch. 4.5 - AThe exchanges that follow are taken from...Ch. 4.5 - Here is Marco’s method for calculating 38 60: Four...Ch. 4.5 - Jenny uses the following method to find 28% of...Ch. 4.5 - Use properties of arithmetic to calculate 35% of...Ch. 4.5 - Use the distributive property to make it easy for...Ch. 4.5 - Tamar calculated 41 41 as follows: Four 4s is 16,...Ch. 4.5 - Here is how Nya solved the problem 34.72: Half of...Ch. 4.5 - a. Lindsay calculates two-fifths of 1260 by using...Ch. 4.5 - While working on the multiplication problem 38 ....Ch. 4.5 - There is an interesting mental technique for...Ch. 4.5 - * Try out this next mathematical magic trick. Do...Ch. 4.6 - Solve the multiplication problem 896_ in three...Ch. 4.6 - Solve the multiplication problem 7684_ in three...Ch. 4.6 - Solve the multiplication problem 43237_ in three...Ch. 4.6 - When we multiply 2637_ by using the common method,...Ch. 4.6 - a. Use the partial-products method to calculate...Ch. 4.6 - a. Use the partial-products method to calculate...Ch. 4.6 - a. Use the partial-products and common methods to...Ch. 4.6 - a. Draw an array on graph paper, and use your...Ch. 4.6 - Solve the multiplication problem 2327 by writing...Ch. 4.6 - a. Use the partial-products and common methods to...Ch. 4.6 - a. Use the common method to calculate 2437 b. On...Ch. 4.6 - The lattice method is a technique that is...Ch. 4.6 - The following method for multiplying 2123 relies...
Additional Math Textbook Solutions
Find more solutions based on key concepts
The largest polynomial that divides evenly into a list of polynomials is called the _______.
Elementary & Intermediate Algebra
23. A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $120 from the gro...
College Algebra (Collegiate Math)
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
Find E(X) for each of the distributions given in Exercise 2.1-3.
Probability And Statistical Inference (10th Edition)
Teacher Salaries
The following data from several years ago represent salaries (in dollars) from a school distri...
Elementary Statistics: A Step By Step Approach
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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
- 1. Let 15 -14 A = -10 9 13-12 -8 7 11 15 -14 13 -12 -6 and B = -10 9 -8 7 -6 5 -4 3 -2 E 5 -4 3 -2 1 Explicitly give the values of A2,3, A1,5, and B1,4- Is A a 5 x 3 matrix? Explain your answer. Are A and B (mathematically) equal? Explain your answer.arrow_forwardGiven the following set X = {2, 4, 6, 8} and Y = {1, 2, 3}, explicitly give (e.g., write down the sets with numerical entries) of the outputs of the following requested set operations: (a) [2 points] XUY (Union) (b) [2 points] XY (Intersection) (c) [3 points] X\Y (Difference) (d) [3 points] XAY (Symmetric Difference)arrow_forward4.2 Product and Quotient Rules 1. 9(x)=125+1 y14+2 Use the product and/or quotient rule to find the derivative of each function. a. g(x)= b. y (2x-3)(x-1) c. y== 3x-4 √xarrow_forward
- 4.2 Product and Quotient Rules 1. Use the product and/or quotient rule to find the derivative of each function. 2.5 a. g(x)=+1 y14+2 √x-1) b. y=(2x-3)(x-:arrow_forwardFor what values of k will the equation (k + 1)x² + 6kx + 2k² - x = 0 have: a) one root equal zero b) one root the reciprocal of the other c) roots numerically equal but of opposite signarrow_forward3. The total profit (in dollars) from selling x watches is P(x)=0.52x²-0.0002x². Find and interpret the following. a) P(100) b) P'(100)arrow_forward
- 3. Find the slope and the equation of the tangent line to the graph of the given function at the given value of x. -4 f(x)=x-x³;x=2arrow_forward2. Find the equation of the tangent line to the graph of the given function at the given point. f(x)=(x+3)(2x²-6) at (1,-16)arrow_forward6. Researchers who have been studying the alarming rate at which the level of the Dead Sea has been dropping have shown that the density d (x) (in g per cm³) of the Dead Sea brine during evaporation can be estimated by the function d(x)=1.66 0.90x+0.47x², where x is the fraction of the remaining brine, 0≤x≤1. a) Estimate the density of the brine when 60% of the brine remains. b) Find and interpret the instantaneous rate of change of the density when 60% of the brine remains.arrow_forward
- 5. If g'(5) 10 and h'(5)=-4, find f'(5) for f(x)=4g(x)-2h(x)+3.arrow_forward2. Find each derivative. Write answers with positive exponents. a) Dx 9x -3 [97] b) f'(3) if f(x) = x²-5x² 8arrow_forwardT3.2: Prove that if the Graceful Tree Conjecture (every tree has a graceful labeling) is true and T' is a tree with m edges, then K2, decomposes into 2m - 1 copies of T. Hint - Delete a leaf to get 7" and apply the decomposition of K2(m-1)+1 = K2m-1 into T'. Then explain how the decomposition allows the pendant edge to be added to a new vertex to obtain a decomposition of K2m into copies of T.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher: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
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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