Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)
Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134800196
Author: Sybilla Beckmann
Publisher: PEARSON
bartleby

Concept explainers

Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
bartleby

Videos

Textbook Question
Book Icon
Chapter 2.4, Problem 19P

Consider the following list of fractions:

   1 1 , 2 1 , 3 2 , 5 3 , 8 5 ,….

You do not have to explain your answers to the following parts:

a. Describe a pattern in the list of fractions. Use your description to find the next 5 entries in the list after 8 5 . You will now have the first 10 entries in the list of fractions.

b. Use either the cross-multiplying method or the common denominator method to compare the sizes of the 1st, 3rd, 5th, 7th, and 9th fractions in the list. Describe a pattern in the sizes of these fractions. Describe a pattern that occurs when you compare the fractions.

c. Use either the cross-multiplying method or the common denominator method to compare the sizes of the 2nd, 4th, 6th, 8th, and 10th fractions in the list. Describe a pattern in the sizes of these fractions. Describe a pattern that occurs when you compare the fractions.

d. Convert the 10 fractions on your list to decimals, and plot them on a number line. Zoom in on portions of your number line so that you can show clearly where each decimal number is plotted relative to the others.

e. If you could find more and more entries in the list of fractions, and plot them on a number line, in what region of the number line would they be located? Do you think these numbers would get closer and closer to a particular number?

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 2.4, Problem 18P
Next
Chapter 2.4, Problem 20P
Students have asked these similar questions
sy = f(x) + + + + + + + + + X 3 4 5 7 8 9 The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem and the Mean Value Theorem for f on the closed interval [0, 9] ? (A A B B C D
= Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry 19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and (iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m below ground level. Assume F, = 2.5. Use Terzaghi's equations. 0 Ne Na Ny 35 57.8 41.4 42.4 40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12% foundation with BxB-10x10m and depth of raft D-2m, the allowable settlement is 50mm. Elevation, m 0.5 2 2 6.5 9.5 13 18 25 No.of blows, N 11 15 29 32 30 44 0 estigate shear 12%

Chapter 2 Solutions

Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)

Ch. 2.2 - Michael says that the dark marbles in Figure 2.25...Ch. 2.2 - When Jean was asked to say what the 3 in the...Ch. 2.2 - This rectangle of x’s is 45 of another (original)...Ch. 2.2 - This rectangle of x’s is 65 of another (original)...Ch. 2.2 - Kaitlyn gave 12 of her candy bar to Arianna....Ch. 2.2 - You were supposed to use 23 of a cup of coca to...Ch. 2.2 - Susan was supposed to use 54 of a cup of butter in...Ch. 2.2 - If 34 of a cup of a snack food gives you your...Ch. 2.2 - Make up a word problem or situation where one...Ch. 2.2 - Cake problem: Figure 2.26 represents two cakes of...
Ch. 2.2 - Harry wants to make 34 of a recipe of a potion....Ch. 2.2 - Figure 2.27 shows a picture of three pies. Draw a...Ch. 2.2 - Discuss why it can be confusing to show an...Ch. 2.2 - Draw a number line like the one in Figure 2.28 and...Ch. 2.2 - Draw a number line like the one in Figure 2.28 and...Ch. 2.2 - Draw a number line like the one in Figure 2.29....Ch. 2.2 - Give two different fractions that you can...Ch. 2.2 - Marquez says that the shaded region in Figure 2.31...Ch. 2.2 - NanHe made a design that used hexagons, rhombuses,...Ch. 2.2 - A county has two elementary schools, both of which...Ch. 2.3 - Use a math drawing to explain in your own words...Ch. 2.3 - Explain in two different ways why 23=2434Ch. 2.3 - Using the fractions 23 and 34 , describe how to...Ch. 2.3 - Using a math drawing, explain why dividing both...Ch. 2.3 - Using a math drawing with the exmaple 69 Describe...Ch. 2.3 - Draw a number line like the one in Figure 2.49....Ch. 2.3 - Draw a number line like the one in Figure 2.49....Ch. 2.3 - Draw a number line like the one in Figure 2.49....Ch. 2.3 - Draw a number line like the one in Figure 2.49....Ch. 2.3 - Draw a number line like the one in Figure 2.50....Ch. 2.3 - Draw a numebr line like the one in Figure 2.51....Ch. 2.3 - Draw a number line like the one in Figure 2.52....Ch. 2.3 - Draw a number line like the one in Figure 2.53....Ch. 2.3 - Erin says the tick mark indicated in Figure 2.54...Ch. 2.3 - First you poured 34 of a cup of water into an...Ch. 2.3 - First you poured 34 of a cup of water into an...Ch. 2.3 - You want to make a recipe that calls for 23 of a...Ch. 2.3 - Ken got 23 of a ton of gravel even though he...Ch. 2.3 - One serving of SnackOs is 23 of a cup. Jane wants...Ch. 2.3 - So far, Benny has run 12 of a mile, but that is...Ch. 2.3 - So far, Mahelia has run 32 miles, but that is only...Ch. 2.3 - See Figure 2.57. How many of Strip A does it take...Ch. 2.3 - The strips in Figure 2.60 show the relative...Ch. 2.3 - Draw a strip diagram like the one in Figure 2.60...Ch. 2.3 - Becky moves into an apartment with two friends on...Ch. 2.4 - Julie says that the drawing in Figure 2.65 shows...Ch. 2.4 - In your own words, explain in detail why we can...Ch. 2.4 - In your own words, explain in detail why we can...Ch. 2.4 - In your own words, explain in detail why it is the...Ch. 2.4 - Which fraction is greater, 35109or36104? To...Ch. 2.4 - Which fraction is greater, 1531or2347? To explain...Ch. 2.4 - Which fraction is greater, 35109or36104? To...Ch. 2.4 - Without using a calculator, order the following...Ch. 2.4 - Find a number between 2384 and 2998 and plot all...Ch. 2.4 - Find a number between 78134 and 124213 and plot...Ch. 2.4 - Find two different fractions between 25 and 35...Ch. 2.4 - Give two different methods for solving the...Ch. 2.4 - Give two different methods for solving the...Ch. 2.4 - A student says that 15 is halfway between 14 and...Ch. 2.4 - Sam has a method for comparing fractions: He just...Ch. 2.4 - Minju says that fractions that use bigger numbers...Ch. 2.4 - Malcolm says that 811710 because 87 and 1110...Ch. 2.4 - You may combine your answers to all three parts of...Ch. 2.4 - Consider the following list of fractions:...Ch. 2.4 - Suppose you start with a proper fraction and you...Ch. 2.5 - If your daily value of carbohydrates is 300 grams,...Ch. 2.5 - A road crew ordered 52 tons of gravel, but they...Ch. 2.5 - If your daily value of dietary fiber is 25 grams...Ch. 2.5 - If 36,000 people make up 15% of a population, then...Ch. 2.5 - If 180 milligrams of potassium constitute 5% of...Ch. 2.5 - In Happy Valley, the average rainfall in July is 5...Ch. 2.5 - If a 34 -cup serving of cereal provides your full...Ch. 2.5 - Mentally determine what percent 225 is of 250. Use...Ch. 2.5 - Show how to use a percent table and either “going...Ch. 2.5 - If a 23 cupserving of cereal provides your full...Ch. 2.5 - The Biggo Corporation hopes that 95% of its 4600...Ch. 2.5 - A company has bought 3.4 acres of land out of the...Ch. 2.5 - The mayor says that $3.6 million has been spent...Ch. 2.5 - Sixty percent of a city’s population of 84,000...Ch. 2.5 - Frank ran 80% as far as Denise. How far did Denise...Ch. 2.5 - GrandMart sells 115% as much soda as BigMart. How...Ch. 2.5 - Connie and Benton paid for identical plane...Ch. 2.5 - At a newsstand, 75% of the items sold are...Ch. 2.5 - A company produces two types of handbags and sells...Ch. 2.5 - A county has two elementary schools, school A and...Ch. 2.5 - Brand A soup is 20% solids and 80% water. Use this...Ch. 2.5 - At a store, there is a display of 300 cans of...Ch. 2.5 - Suppose that 200 pounds of freshly picked...
Knowledge Booster
Background pattern image
Math
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
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
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
SEE MORE TEXTBOOKS
Find number of persons in a part with 66 handshakes Combinations; Author: Anil Kumar;https://www.youtube.com/watch?v=33TgLi-wp3E;License: Standard YouTube License, CC-BY
Discrete Math 6.3.1 Permutations and Combinations; Author: Kimberly Brehm;https://www.youtube.com/watch?v=J1m9sB5XZQc;License: Standard YouTube License, CC-BY
How to use permutations and combinations; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=NEGxh_D7yKU;License: Standard YouTube License, CC-BY
Permutations and Combinations | Counting | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=0NAASclUm4k;License: Standard Youtube License
Permutations and Combinations Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=XJnIdRXUi7A;License: Standard YouTube License, CC-BY