Mathematics for Elementary Teachers with Activities (5th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 3.2, Problem 11P

Tylishia says that she can calculate 324 197 by adding 3 to both numbers and calculating 324 200 instead.

  1. Draw a number line (which need not be perfectly to scale) to help you explain why Tylishia’s method is valid.
  2. Explain in another way why Tylishia’s method is valid.
  3. Could you adapt Tylishia’s method to other subtraction problems, such as to the problem 183249? If so, give at least two more examples and show how to apply Tylishia’s method in each case.

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Chapter 3 Solutions

Mathematics for Elementary Teachers with Activities (5th Edition)

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,...
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