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 1.3, Problem 8P

Is there more than one decimal between 8.45 and 8.47? If so, find two such decimals.

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Pidgeonhole Principle 1. The floor of x, written [x], also called the integral part, integer part, or greatest integer, is defined as the greatest integer less than or equal to x. Similarly the ceiling of x, written [x], is the smallest integer greater than or equal to x. Try figuring out the answers to the following: (a) [2.1] (b) [2] (c) [2.9] (d) [2.1] (e) [2] (f) [2.9] 2. The simple pidgeonhole principle states that, if you have N places and k items (k> N), then at least one hole must have more than one item in it. We tried this with chairs and students: Assume you have N = 12 chairs and k = 18 students. Then at least one chair must have more than one student on it. 3. The general pidgeonhole principle states that, if you have N places and k items, then at least one hole must have [] items or more in it. Try this out with (a) n = 10 chairs and k = 15 students (b) n = 10 chairs and k = 23 students (c) n = 10 chairs and k = 20 students 4. There are 34 problems on these pages, and we…
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Chapter 1 Solutions

Mathematics for Elementary Teachers with Activities (5th Edition)

Ch. 1.2 - Suppose you want to show how the structure of the...Ch. 1.2 - Make math drawings of small bundled objects to...Ch. 1.2 - Describe and make drawings showing how to...Ch. 1.2 - Jerome says that the unlabeled tick mark on the...Ch. 1.2 - Students are sometimes uncertain about which zeros...Ch. 1.2 - Draw a number line on which the tick marks are...Ch. 1.2 - Draw a number line on which the long tick marks...Ch. 1.2 - Use a number line like the one in Figure 1.41 for...Ch. 1.2 - Cierral plots the decimal number 7.001 in the...Ch. 1.2 - Juan plots the decimal number 9.999 in the...Ch. 1.2 - For each number line in Figure 1.44 (a)-(d), draw...Ch. 1.2 - Using-1, -2, and -1.68 as examples, describe in...Ch. 1.2 - Students sometimes get confused about the...Ch. 1.2 - Draw a number line like the one in Figure 1.41 for...Ch. 1.2 - Explain why it is the case that whenever N is a...Ch. 1.3 - Explain in your own words why we compare numbers...Ch. 1.3 - Make a math drawing that shows bundled objects...Ch. 1.3 - Explain how to show which of 1.1 and 0.999 is...Ch. 1.3 - Some students have difficulty comparing decimals...Ch. 1.3 - Mary is labeling tick marks on a number line....Ch. 1.3 - Mark says that 0.178 is greater than 0.25. Why...Ch. 1.3 - Find a number between 3.24 and 3.241, if there is...Ch. 1.3 - Is there more than one decimal between 8.45 and...Ch. 1.3 - Find a number between 3.8 and 3.9, and plot all...Ch. 1.3 - For each of the following pairs of numbers, find a...Ch. 1.3 - Explain in two different ways why -8 < -5.Ch. 1.3 - Explain in two different ways why 3.251.4.Ch. 1.3 - Some students confuse decimals and negative...Ch. 1.3 - For each of the following pairs of numbers, find a...Ch. 1.3 - Describe an infinite list of decimals, all of...Ch. 1.3 - The smallest integer that is greater than 2 is 3....Ch. 1.3 - On the number line in Figure 1.55, assume that A...Ch. 1.3 - On the number line in Figure 1.55, assume that -A...Ch. 1.4 - Round 2.1349 to the nearest hundredth. Explain in...Ch. 1.4 - Round 27,003 to the nearest hundred. Explain in...Ch. 1.4 - Round 9995.2 to the nearest ten. Explain in your...Ch. 1.4 - Adam has made up his own method of rounding....Ch. 1.4 - The label on a snack food package says that one...Ch. 1.4 - The weight of an object is reported as 12,000...Ch. 1.4 - In a report, a population is given as 2700. Should...
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