Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 6.4, Problem 5P
Write a how-many-groups word problem for
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Chapter 6 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 6.1 - For each of the following word problems, write the...Ch. 6.1 - Write two word problems for 637?, one for each of...Ch. 6.1 - a. Write an array problem for 213=? and make a...Ch. 6.1 - a. Write a multiplicative comparison problem for...Ch. 6.1 - a. Is 05 defined or not? Write a word problem for...Ch. 6.1 - a. Is 03 defined or not? Explain your reasoning....Ch. 6.1 - Write and solve one word problem for 3570=? and...Ch. 6.1 - a.Use the definition of powers of 10 to show how...Ch. 6.2 - Use the definition of fractions and...Ch. 6.2 - Using our definition of fractions, the idea of...
Ch. 6.2 - a. Explain why 115=.11using...Ch. 6.2 - Describe how to get the mixed number answer to 235...Ch. 6.2 - a. Write a simple how-many-units-in-1 -group word...Ch. 6.2 - Write and solve four different word problems for...Ch. 6.2 - For each of the problems that follow, write the...Ch. 6.2 - Explain how to solve the next problems with...Ch. 6.2 - In your own words, describe a procedure for...Ch. 6.2 - * Halloween (October 31) of 2014 was on a Friday,...Ch. 6.2 - Must there be at least one Friday the 13th in...Ch. 6.2 - Presidents' Day is the third Monday in February....Ch. 6.2 - I'm thinking of a number. When you divide it by 2,...Ch. 6.2 - I'm thinking of a number. When you divide it by...Ch. 6.2 - Three robbers have just acquired a large pile of...Ch. 6.2 - A year that is not a leap year has 365 days. (Leap...Ch. 6.3 - a. Calculate 42156 and 62,63532 in two ways: with...Ch. 6.3 - a. Use the scaffold method to calculate 7934. b....Ch. 6.3 - a. Use the common method for implementing the...Ch. 6.3 - a. Use the common method for implementing the...Ch. 6.3 - Tamarin calculates 83425 in the following way: I...Ch. 6.3 - Felicia is working on the following problem: There...Ch. 6.3 - Rodrigo calculates 65015 in the following way: 150...Ch. 6.3 - Meili calculates 120045 in the following way:...Ch. 6.3 - Calculate 6238 without using a calculator or any...Ch. 6.3 - Calculate 200075 without using a calculator or any...Ch. 6.3 - Use some or all of the multiplication facts...Ch. 6.3 - Use the two multiplication facts, 3012=360 and...Ch. 6.3 - how the whole-number-with-remainder and the...Ch. 6.3 - Show how to use division to determine the decimal...Ch. 6.3 - Describe how to use either dimes and pennies or a...Ch. 6.3 - Describe how to use either dimes and pennies or a...Ch. 6.3 - a. Use the standard division algorithm to...Ch. 6.3 - Describe how to use either dimes and pennies or a...Ch. 6.3 - a. Use division to determine the decimal...Ch. 6.3 - Jessica calculates that 73=2, remainder 1. When...Ch. 6.3 - a. Write and solve a simple word problem for...Ch. 6.3 - a. Suppose you want to estimate 45938 By rounding...Ch. 6.3 - Bob wants to estimate 1893275. He decides to round...Ch. 6.3 - * A student calculates 69987 as follows, and...Ch. 6.3 - When you divide whole numbers using an ordinary...Ch. 6.4 - Explain how to use the math drawings of Figures...Ch. 6.4 - A Bread Problem: If 1 loaf of bread requires 114...Ch. 6.4 - A Measuring Problem: You are making a recipe that...Ch. 6.4 - wWrite a how-many-groups word problem for 423=?...Ch. 6.4 - Write a how-many-groups word problem for 514134=?...Ch. 6.4 - Jose and Mark are making cookies for a bake sale....Ch. 6.4 - Marvin has 11 yards of cloth to make costumes for...Ch. 6.4 - A Laundry Problem: You need 34 cup of laundry...Ch. 6.4 - Write a how-many-groups word problem for 234=? and...Ch. 6.4 - Write a how-many-groups word problem for 1314=?...Ch. 6.4 - Write a how-many-groups word problem for 1223=?...Ch. 6.4 - Write a simple how-many-groups word problem for...Ch. 6.4 - a. By rewriting the division problem 1833911=? as...Ch. 6.4 - Use the fact that we can rewrite the division...Ch. 6.4 - a. Tyrone says that 125 doesn't make sense because...Ch. 6.4 - * Fraction division word problems involve the...Ch. 6.5 - Explain how to use the math drawings of Figures...Ch. 6.5 - Write a how-many-units-in-1-group word problem for...Ch. 6.5 - Write a how-many-units-in-1-group word problem for...Ch. 6.5 - Write a how-many-units-in-1-group word problem for...Ch. 6.5 - Write a how-many-units-in-I-group word problem for...Ch. 6.5 - If 112 cups of a cereal weigh 2 pounds, how much...Ch. 6.5 - It took a mule 23 of an hour to go 45 of a mile....Ch. 6.5 - It took 113 cans of paint to paint 25 of a room....Ch. 6.5 - Write a word problem for 3412=? and another word...Ch. 6.5 - For each of the following problems, determine if...Ch. 6.5 - Sam picked 12 gallon of blueberries. He poured the...Ch. 6.5 - A road crew is building a road. So far, 23 of the...Ch. 6.5 - Will has mowed 23 of his lawn, and so far it has...Ch. 6.5 - Grandma's favorite muffin recipe uses 134 cups of...Ch. 6.5 - Tran write following word problem for 13412?:...Ch. 6.6 - Sue needs to cut a piece of wood 0.4 of an inch...Ch. 6.6 - a. Write a how-many-groups word problem for...Ch. 6.6 - a. Calculate 28.30.07to the hundredths place...Ch. 6.6 - a. Calculate 16.80.35to the hundredths place...Ch. 6.6 - Ramin must calculate 8.423.6 longhand, but he...Ch. 6.6 - a. Make a math drawing like Figure 6.30, and use...Ch. 6.6 - A federal debt problem: If the federal debt is $11...Ch. 6.6 - A tax cut problem: If a 1.3 trillion dollar tax...Ch. 6.6 - Light travels at about 300,000 kilometers per...Ch. 6.6 - A newly discovered star is about 75 trillion...Ch. 6.6 - Light travels at a speed of about 300,000...Ch. 6.6 - Susan has a 5-pound bag of flour and an old recipe...Ch. 6.6 - In ordinary language, the term divide means...Ch. 6.6 - When Mary converted a recipe from metric...Ch. 6.6 - * Suppose you need to know how many...Ch. 6.6 - Sarah is building a carefully crafted cabinet and...
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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
- Refer to page 9 for a problem requiring finding the tangent plane to a given surface at a point. Instructions: Use partial derivatives to calculate the equation of the tangent plane. Show all calculations step-by-step. Link [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 8 for a problem involving solving a second-order linear homogeneous differential equation. Instructions: Solve using characteristic equations. Show all intermediate steps leading to the general solution. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 17 for a problem requiring solving a nonlinear algebraic equation using the bisection method. Instructions: Show iterative calculations for each step, ensuring convergence criteria are satisfied. Clearly outline all steps. Link [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440AZF/view?usp=sharing]arrow_forward
- Problem: The probability density function of a random variable is given by the exponential distribution Find the probability that f(x) = {0.55e−0.55x 0 < x, O elsewhere} a. the time to observe a particle is more than 200 microseconds. b. the time to observe a particle is less than 10 microseconds.arrow_forwardThe OU process studied in the previous problem is a common model for interest rates. Another common model is the CIR model, which solves the SDE: dX₁ = (a = X₁) dt + σ √X+dWt, - under the condition Xoxo. We cannot solve this SDE explicitly. = (a) Use the Brownian trajectory simulated in part (a) of Problem 1, and the Euler scheme to simulate a trajectory of the CIR process. On a graph, represent both the trajectory of the OU process and the trajectory of the CIR process for the same Brownian path. (b) Repeat the simulation of the CIR process above M times (M large), for a large value of T, and use the result to estimate the long-term expectation and variance of the CIR process. How do they compare to the ones of the OU process? Numerical application: T = 10, N = 500, a = 0.04, x0 = 0.05, σ = 0.01, M = 1000. 1 (c) If you use larger values than above for the parameters, such as the ones in Problem 1, you may encounter errors when implementing the Euler scheme for CIR. Explain why.arrow_forwardRefer to page 1 for a problem involving proving the distributive property of matrix multiplication. Instructions: Provide a detailed proof using matrix definitions and element-wise operations. Show all calculations clearly. Link [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]arrow_forward
- Refer to page 30 for a problem requiring solving a nonhomogeneous differential equation using the method of undetermined coefficients. Instructions: Solve step-by-step, including the complementary and particular solutions. Clearly justify each step. Link [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 5 for a problem requiring finding the critical points of a multivariable function. Instructions: Use partial derivatives and the second partial derivative test to classify the critical points. Provide detailed calculations. Link [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 3 for a problem on evaluating limits involving indeterminate forms using L'Hôpital's rule. Instructions: Apply L'Hôpital's rule rigorously. Show all derivatives and justify the steps leading to the solution. Link [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440AZF/view?usp=sharing]arrow_forward
- 3. Let {X} be an autoregressive process of order one, usually written as AR(1). (a) Write down an equation defining X₁ in terms of an autoregression coefficient a and a white noise process {} with variance σ². Explain what the phrase "{} is a white noise process with variance o?" means. (b) Derive expressions for the variance 70 and the autocorrelation function Pk, k 0,1,. of the {X} in terms of o2 and a. Use these expressions to suggest an estimate of a in terms of the sample autocor- relations {k}. (c) Suppose that only every second value of X is observed, resulting in a time series Y X2, t = 1, 2,.... Show that {Y} forms an AR(1) process. Find its autoregression coefficient, say d', and the variance of the underlying white noise process, in terms of a and o². (d) Given a time series data set X1, ..., X256 with sample mean = 9.23 and sample autocorrelations ₁ = -0.6, 2 = 0.36, 3 = -0.22, p = 0.13, 5 = -0.08, estimate the autoregression coefficients a and a' of {X} and {Y}.arrow_forward#8 (a) Find the equation of the tangent line to y = √x+3 at x=6 (b) Find the differential dy at y = √x +3 and evaluate it for x=6 and dx = 0.3arrow_forwardRefer to page 96 for a problem involving the heat equation. Solve the PDE using the method of separation of variables. Derive the solution step-by-step, including the boundary conditions. Instructions: Stick to solving the heat equation. Show all intermediate steps, including separation of variables, solving for eigenvalues, and constructing the solution. Irrelevant explanations are not allowed. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forward
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