
Mathematics For Elementary Teachers With Activities
5th Edition
ISBN: 9780134423401
Author: Sybilla Beckmann
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1.3, Problem 14P
For each of the following pairs of numbers, find a decimal between the two number, and plot all three numbers visibly and distinctly on a number line like the one in Figure 1.54. Label all the longer tick marks. Your labeling of the tick marks should fit with the structure of the base-ten marks should fit with the structure of the base-ten system.
- The numbers -1.5 and -1.6
- The numbers -34.9714 and -34.9835
- The numbers -7.834 and -7.83561
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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…
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
Save Answer
Q2.2
1 Point
Determine if the set of vectors spans R³.
they span R³
they do not span R³
Save Answer
23
Q2.3
1 Point
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
Save Answer
1111
1110
Q2.4
1 Point
Determine if the set of vectors spans R4.
O they span R4
they do not span IR4
1000;
111O'
The everything combined problem
Suppose that a computer science laboratory has 15 workstations and 10 servers. A cable can be used to
directly connect a workstation to a server. For each server, only one direct connection to that server can be
active at any time.
1. How many cables would you need to connect each station to each server?
2. How many stations can be used at one time?
3. How many stations can not be used at any one time?
4. How many ways are there to pick 10 stations out of 15?
5. (This one is tricky) We want to guarantee that at any time any set of 10 or fewer workstations can
simultaneously access different servers via direct connections. What is the minimum number of direct
connections needed to achieve this goal?
Chapter 1 Solutions
Mathematics For Elementary Teachers With Activities
Ch. 1.1 - In your own words, discuss the connection between...Ch. 1.1 - If you give a child in kindergarten or first grade...Ch. 1.1 - For each of the following collections of small...Ch. 1.1 - In your own words, describe how you can use...Ch. 1.1 - In your own words, discuss the beginning ideas of...Ch. 1.1 - Children sometimes mistakenly read the number 1001...Ch. 1.1 - Explain why the bagged and loose toothpicks...Ch. 1.1 - Describe key features of the base-ten system....Ch. 1.1 - Draw number lines like the ones in Figure1.15 Plot...Ch. 1.1 - The students in Ms. Caven’s class have a large...
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...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Find E(X) for each of the distributions given in Exercise 2.1-3.
Probability And Statistical Inference (10th Edition)
Let F be a continuous distribution function. If U is uniformly distributed on (0,1), find the distribution func...
A First Course in Probability (10th Edition)
Find how many SDs above the mean price would be predicted to cost.
Intro Stats, Books a la Carte Edition (5th Edition)
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
(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
First Derivative Test a. Locale the critical points of f. b. Use the First Derivative Test to locale the local ...
Calculus: Early Transcendentals (2nd 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
- Can you help me with D and Earrow_forwardQ1.1 1 Point Any set {V1, V2, V3, V4} that consists of four different vectors from R cannot possibly span Rº. True False Save Answerarrow_forwardFind: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+ (4,5) (4,2) • (-1,1) -6arrow_forward
- 3 2 Find: ƒ(1) lim f(x) 14-x 2 ƒ(2) lim f(x) x-2- lim f(x) x+2+ lim f(x) x→4 3 y=f(x)arrow_forwardFor each graph below, state whether it represents a function. Graph 1 24y Graph 2 Graph 3 4 2 -8 -6 -4 -2 -2 2 4 6 Function? ○ Yes ○ No ○ Yes ○ No Graph 4 Graph 5 8 Function? Yes No Yes No -2. ○ Yes ○ No Graph 6 4 + 2 4 -8 -6 -4 -2 2 4 6 8 Yes -4++ Noarrow_forwardStudents were asked to simplify the expression (secØ - cosØ)/secØ Two students' work is given.Student A: step 1 secØ/secØ - cosØ/secØstep 2 cosØ/1 - (1/cosØ)step 3 1 - cos^2Østep 4 sin^2ØStudent B: step 1 (1/cosØ)-cosØ)/secØstep 2 (1 - cos^2Ø/cosØ)/secØstep 3 sin^2Ø/cos^2Østep 4 tan^2ØPart A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused.Part B: Complete the student's solution correctly, beginning with the location of the error.arrow_forward
- Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.Part A: Determine cos 330° using the cosine sum identity. Be sure to include all necessary work.Part B: Determine sin 330° using the sine difference identity. Be sure to include all necessary work.arrow_forwardA public health researcher is studying the impacts of nudge marketing techniques on shoppers vegetablesarrow_forward4. Let A {w, e, s, t, f, i, e, l, d, s, t, a, t, e}. (a) How many different words (they do not have to make sense) can you spell with the letters in A? (b) Is your answer from above the same as the cardinality of the powerset of A, i.e. of P(A)? (c) What is |A|?arrow_forward
- what can the answer be pls helparrow_forward5. How many numbers can you make out of the digits 1, 2, 3, 4, 6 if the rule is that every digit has to be larger than the digit preceding it? For example 124 is ok, 122 is not ok. Every digit can be used only once, but you do not have to use every digit. A tree might help.arrow_forward5 plsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher: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

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Understanding Fractions, Improper Fractions, and Mixed Numbers; Author: Professor Dave Explains;https://www.youtube.com/watch?v=qyW2mWvvtZ8;License: Standard YouTube License, CC-BY