Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 4.5, Problem 13P
Tamar calculated 41 41 as follows:
Four 4s is 16, so four 40s is 160 and forty 40s is 1600. Then forty-one 40s is another 40 added on, which is 1640. So forty- one 41s is 41 more, which is 1681.
a. Explain briefly why it makes sense for Tamar to solve the problem the way she does. What is the idea behind her strategy?
b. Write equations that incorporate Tamar’s work and that show clearly why Tamar’s method calculates the correct answer to 41 . 41. Which properties of arithmetic did Tamar use (knowingly or not), and where? Be thorough and be specific. Write your equations in the following format:
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Some references: [79, 80, 162, 222], and [204], Sect. 1.5.
29
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c. About what percentage of the data should
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Chapter 4 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
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...
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