
Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137442812
Author: Sybilla Beckmann
Publisher: PEARSON+
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
thumb_up100%
Chapter 3.2, Problem 6P
Give an example of an arithmetic problem that can be made easy to solve mentally by using the commutative property of addition. Write equations that show your use of the commutative property of addition. Your use of this property must genuinely make the problem easier to solve.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1
-1-
Ο
Graph of f
y =
+ y = 1 + 1/2
·2·
x
Graph of g
y = 1-
플
The figure gives the graphs of the functions f
and g in the xy-plane. The function of is given
by f(x) = tan¹ x. Which of the following
defines g(x)?
A
tan 1 x + 1
B
-
tan 1 x +
П
2
C
tan-1 (2/2) + 1
D
tan-1 (2/2) + 1/1
In Problems 10-4, use the method of undetermined
coefficients to determine the form of a particular solution for the
given equation.
In Problems 10-40, use the method of undetermined
coefficients to determine the form of a particular solution for the
given equation.
2
1. y"" - 2y" - 5y/+6y= e² + x²
Chapter 3 Solutions
Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
Ch. 3.1 - Write an Add To problem that fits naturally with...Ch. 3.1 - Write a Put Together/Take Apart, Both Addends...Ch. 3.1 - Write two versions of a Compare, Difference...Ch. 3.1 - Write two versions of a Compare, Bigger Unknown...Ch. 3.1 - Identify the type and subtype of each of the...Ch. 3.1 - Write an Add To, a Put Together/Take Apart, and a...Ch. 3.1 - Write a Take From, a Put Together/Take Apart, and...Ch. 3.1 - Write an Add To problem that can be solved by...Ch. 3.2 - Many teachers have a collection of small cubes...Ch. 3.2 - Discuss the difference between the commutative...
Ch. 3.2 - Figure 3.13 indicates a make-a-ten method for...Ch. 3.2 - Tomaslav has learned the following facts well: All...Ch. 3.2 - Give an example of an arithmetic problem that can...Ch. 3.2 - Give an example of an arithmetic problem that can...Ch. 3.2 - Describe a way to calculate 304-81 mentally, by...Ch. 3.2 - To calculate 15973, a student writes the following...Ch. 3.2 - To calculate 20188, a student writes the following...Ch. 3.2 - David and Ashley want to calculate 8.272.98 by...Ch. 3.2 - Tylishia says that she can calculate 324197 by...Ch. 3.2 - *Is there an associative property of subtracting?...Ch. 3.2 - *Is there a commutative property of subtraction?...Ch. 3.3 - Refer to Class Activity 3l, Adding and Subtracting...Ch. 3.3 - Describe how to use bundled things to explain...Ch. 3.3 - Describe how to use bundled things to explain...Ch. 3.3 - Allie solves the subtraction problem 3049 as...Ch. 3.3 - Zachary added 3.4+2.7 and got the answer 5.11. How...Ch. 3.3 - To solve 512146, a student writes the following:...Ch. 3.3 - Problem: Matteo is 4 feet 3 inches tall. Nico is 3...Ch. 3.3 - Problem: A container holds 2 quarts and 4 fluid...Ch. 3.3 - On a space shuttle mission, a certain experiment...Ch. 3.3 - We can write dates and times in a sort of expanded...Ch. 3.3 - Erin wants to figure out how much time elapsed...Ch. 3.3 - The standard subtraction algorithm described in...Ch. 3.3 - The standard subtraction algorithm described in...Ch. 3.3 - Here’s how Mo solved the subtraction problem...Ch. 3.3 - *After you solve part (b) of this problem, think...Ch. 3.4 - Using the example 27+37, explain why we add...Ch. 3.4 - Using the example 23+34, explain why we add...Ch. 3.4 - Using the example 356, describe the procedure for...Ch. 3.4 - Use two number lines, one labeled with (fractions...Ch. 3.4 - For each of the following decimals, show how to...Ch. 3.4 - Show how to calculate the sum 25+0.25 and show how...Ch. 3.4 - Show how to calculate 538+123 in two different...Ch. 3.4 - Show how to calculate 423+134 in two different...Ch. 3.4 - Find two different positive fractions whose sum is...Ch. 3.4 - John says 23+33=46 and uses the drawing in Figure...Ch. 3.4 - Denise says that 2312=13 and gives the reasoning...Ch. 3.4 - Arnold says that 223=45, and he uses the drawing...Ch. 3.4 - Can the following problems about voters be solved...Ch. 3.4 - Can the following problems about a bird feeder be...Ch. 3.4 - Can the following problems about Sarah’s bead...Ch. 3.4 - Can the following problem about Jim’s medicine be...Ch. 3.4 - a. Write and solve a word problem for 34+23. b....Ch. 3.4 - a. Write and solve a word problem for 212+113. b....Ch. 3.4 - a. Write and solve a Compare problem that can be...Ch. 3.4 - a. Write and solve a Put Together/Take Apart...Ch. 3.4 - For each square in Figure 3.33, determine the...Ch. 3.4 - For each square in Figure 3.34, determine the...Ch. 3.4 - Broad Street divides Popperville into an east side...Ch. 3.4 - Anklescratch County and Kneebend County are two...Ch. 3.4 - There are two elementary schools in the town of...Ch. 3.4 - Suppose you start with a fraction and you add 1 to...Ch. 3.4 - *In the first part of the season, the Bluejays...Ch. 3.5 - Write an Add To problem that fits naturally with...Ch. 3.5 - Write a Compare problem that fits with the...Ch. 3.5 - a. Show how to use a number line to calculate...Ch. 3.5 - For each of these four expressions,...
Additional Math Textbook Solutions
Find more solutions based on key concepts
(a) Make a stem-and-leaf plot for these 24 observations on the number of customers who used a down-town CitiBan...
APPLIED STAT.IN BUS.+ECONOMICS
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of incli...
Precalculus: Mathematics for Calculus (Standalone Book)
True or False The quotient of two polynomial expressions is a rational expression, (p. A35)
Precalculus
Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given...
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
In Exercises 9-20, use the data in the following table, which lists drive-thru order accuracy at popular fast f...
Elementary Statistics (13th Edition)
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
- match the equation to it's respective directional field in the image, justify your answer a. dy/dx=x-1 b. dy/dx=1 - y^2 c. dy/dx=y^2 - x^2 d. dy/dx=1-x e. dy/dx=1-y f. dy/dx=x^2 - y^2 g. dy/dx=1+y h. dy/dx=y^2 - 1arrow_forward4. The runway at the Piarco International airport has an equation of -3(x-2y) = 6. If the Priority Bus Route passes through the geometric coordinate (1,-9) and is perpendicular to the runway at the Piarco International airport. Determine the following: a. State two geometric coordinates which the runway at the Piarco International airport passes through. b. Derive the equation of the Priority Bus Route. [2 marks] [6 marks]arrow_forwardUse Euler and Heun methods to solve y' = 2y-x, h=0.1, y(0)=0, compute y₁ys, calculate the Abs_Error.arrow_forward
- TY D om E h om ng 00 C B A G F Q ו 3 13 Details Find an Euler path for the graph. Enter your response as a sequence of vertices in the order they are visited, for example, ABCDEA. fic ► Question Help: Video Message instructor Submit Question tor arch 園 A Wind advisoryarrow_forwardThe twice differentiable functions fand g are defined for all real numbers of x. Values of f(x) and g(x) for various values of x are given in the table below. Evaluate (f'(g(x))g'(x)dx. -2 X -2 −1 1 3 f(x) 12 8 2 7 g(x) -1 03 1arrow_forwardSuppose we wish to test the hypothesis that women with a sister’s history of breast cancer are at higher risk of developing breast cancer themselves. Suppose we assume that the prevalence rate of breast cancer is 3% among 60- to 64-year-old U.S. women, whereas it is 5% among women with a sister history. We propose to interview 400 women 40 to 64 years of age with a sister history of the disease. What is the power of such a study assuming that the level of significance is 10%? I only need help writing the null and alternative hypotheses.arrow_forward
- Q4*) Find the extremals y, z of the the functional I = 1 (2yz - 2x² + y²² 12 - 212) dx, with y(0) = 0, y(1) = 1, z(0) = 0, ≈(1) = 0.arrow_forwardSolve the following initial value problem over the interval from t= 0 to 2 where y(0)=1. dy yt² - 1.1y dt Using Euler's method with h=0.5 and 0.25.arrow_forwardQ5*) Write down an immediate first integral for the Euler-Lagrange equation for the integral I = = F(x, y, y″) dx. Hence write down a first integral of the Euler-Lagrange equation for the integral I 1 = √(xy ² + x³y²) dx. Find the general solution of this ordinary differential equation, seeking first the complementary function and then the particular integral. (Hint: the ODE is of homogeneous degree. And, for the particular integral, try functions proportional to log x.)arrow_forward
- You are provided with three 2D data points, p1, p2 and p3. Solving A C = B for C provides youwith the coefficients of a natural cubic spline curve that interpolates these points.Additionally, you have been given A and B, but some elements are missing. Moreover, the last two rowsof A are entirely absent. Your task is to determine and fill in the missing elements. For the last two rows,enforce a zero tangent at the beginning (in p1) and a not-a-knot boundary condition in p2. The matricesA and B are given as follows:Explain how to find the entries of A and B . How would you adapt these matrices if the data pointswere 3D? What if your spline should go through five data points? How many “extra rows” would there thenbe (with “extra” meaning “in addition to securing C2-continuity”)?arrow_forwardQ2*) In question P3 we showed that a minimal surface of revolution is given by revolution (about the x-axis) of the catenary, with equation y = C cosh ((x – B)/C). - (a) Suppose, without loss of generality, that the catenary passes through the initial point P = (x1,y1) = (0, 1). First deduce an expression for the one-parameter family of catenaries passing through point P. Next calculate the value of x at which y takes its minimum value. By using the inequality cosh > √2 (you might like to think about how to prove this), show that there are points Q for which it is impossible to find a catenary passing through both P and Q. In particular, show that it is impossible to find a catenary joining the points (0, 1) and (2, 1). (b) A minimal surface of revolution can be realised experimentally by soap films attached to circular wire frames (see this link and this link for examples). The physical reason for this is that the surface tension, which is proportional to the area, is being minimised.…arrow_forwardQ3*) Consider the integral I Yn, Y₁, Y2, . . ., Y'n) dã, [F(x, Y 1, Y2, · · Yng) = - where y1, 2, ...y are dependent variables, dependent on x. If F is not explicitly dependent on x, deduce the equivalent of the Beltrami identity. Optional: Give an example of a function F(y1, Y2, Y₁, y2), and write down the Euler-Lagrange equations and Beltrami Identity for your example. Does having this Beltrami Identity help solve the problem?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 LittellHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University

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
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning


Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Sampling Methods and Bias with Surveys: Crash Course Statistics #10; Author: CrashCourse;https://www.youtube.com/watch?v=Rf-fIpB4D50;License: Standard YouTube License, CC-BY
Statistics: Sampling Methods; Author: Mathispower4u;https://www.youtube.com/watch?v=s6ApdTvgvOs;License: Standard YouTube License, CC-BY