A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 7.3B, Problem 24A
To determine
(a)
To find:
Convert decimals into
To determine
(b)
To find:
Convert decimals into
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Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
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Chapter 7 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 7.1 - Using Simon Stevins notation see Historical Note,...Ch. 7.1 - MATHEMATICAL CONNECTIONS If 1 mL is 0.001 L, how...Ch. 7.1 - MATHEMATICAL CONNECTIONS
Explain whether day can...Ch. 7.1 - MATHEMATICAL CONNECTIONS
Using the number line...Ch. 7.1 - Explain why you think a sign on a copy machine...Ch. 7.1 - MATHEMATICAL CONNECTIONS Explain how you could use...Ch. 7.1 - MATHEMATICAL CONNECTIONS Explain why, in Theorem...Ch. 7.1 - MATHEMATICAL CONNECTIONS Explain why appending any...Ch. 7.1 - MATHEMATICAL CONNECTIONS
How can you tell each of...Ch. 7.1 - MATHEMATICAL CONNECTIONS Determine how decimal...
Ch. 7.1 - Using base-five blocks similar to base-ten blocks,...Ch. 7.1 - In small groups, research the history of decimals...Ch. 7.1 - MATHEMATICAL CONNECTIONS
A student claims that is...Ch. 7.1 - Prob. 16MCCh. 7.1 - MATHEMATICAL CONNECTIONS A student claims that...Ch. 7.1 - Connecting Mathematics to the Classroom A student...Ch. 7.1 - Joe rode his bicycle from his house to his friends...Ch. 7.1 - 50-YARD RACE Girl Time seconds Christa 8.28 Kelly...Ch. 7.1 - The diameter of a red blood cell, in inches, is...Ch. 7.1A - Assessment 71A Write each of the following as a...Ch. 7.1A - Assessment 71A Rewrite each of the following as a...Ch. 7.1A - Assessment 71A Write each of the following as a...Ch. 7.1A - Write each of the following numerals in words. a....Ch. 7.1A - Write each of the following terminating decimals...Ch. 7.1A - Mentally determine which of the following can be...Ch. 7.1A - When possible, write each of the numbers in...Ch. 7.1A - Seven minutes is part of an hour. If 7 min were to...Ch. 7.1A - Given the U.S. monetary system, what reason can...Ch. 7.1A - In each of the following order the decimals from...Ch. 7.1A - Write the numbers in each of the following...Ch. 7.1A - Use a decimal grid with 100 squares and represent...Ch. 7.1A - If the decimals 0.804,0.84, and 0.8399 are...Ch. 7.1A - Write a decimal that has a ten-thousandths place...Ch. 7.1A - a. Show that between any two terminating decimals,...Ch. 7.1A - If decimals in other number bases work the same as...Ch. 7.1A - The five top swimmers in an event had the...Ch. 7.1A - Suppose a carpenters ruler was marked in...Ch. 7.1B - ASSESSMENT Write each of the following as a sum in...Ch. 7.1B - Prob. 2ACh. 7.1B - ASSESSMENT Write each of the following as a...Ch. 7.1B - ASSESSMENT
Write each of the following numerals in...Ch. 7.1B - Write each of the following terminating decimals...Ch. 7.1B - ASSESSMENT Mentally determine which of the...Ch. 7.1B - ASSESSMENT
Where possible, write each of the...Ch. 7.1B - ASSESSMENT What whole numbers of minutes less than...Ch. 7.1B - Prob. 9ACh. 7.1B - Prob. 10ACh. 7.1B - Write the numbers in each of the following...Ch. 7.1B - Use a grid with 100 squares and represent 0.23.Ch. 7.1B - Prob. 13ACh. 7.1B - Write a decimal that is between 8.345 and 8.3456.Ch. 7.1B - Prob. 15ACh. 7.1B - Prob. 16ACh. 7.1B - Assessment The five top swimmers in an event had...Ch. 7.1B - Prob. 18ACh. 7.2 - How much greater is 0.763 than 0.753? How can you...Ch. 7.2 - How is multiplication of decimals like...Ch. 7.2 - Prob. 3MCCh. 7.2 - Is a product of two positive decimals each less...Ch. 7.2 - What is the significance of the 1 above the 6 in...Ch. 7.2 - Prob. 8MCCh. 7.2 - Prob. 9MCCh. 7.2 - Prob. 10MCCh. 7.2 - Prob. 11MCCh. 7.2 - In multiplying 0.1250.08, Roger knew the rule that...Ch. 7.2 - Jamal wants to know why 0.3 and 0.30 are equal....Ch. 7.2 - Fred says that to multiply 32.72.6, he just...Ch. 7.2 - Prob. 16MCCh. 7.2 - Prob. 17MCCh. 7.2 - How would you respond to the following situations?...Ch. 7.2 - Write 14.0479 in expanded form.Ch. 7.2 - With out dividing, determine which of the...Ch. 7.2 - If the denominator of a fraction is 26, is it...Ch. 7.2 - 3556 can be written as a terminating decimal....Ch. 7.2 - How much greater is 0.763 than 0.753? How can you...Ch. 7.2 - Prob. 2NAEPCh. 7.2 - Prob. 3NAEPCh. 7.2 - Explain why subtraction of terminating decimals...Ch. 7.2A - Use base-ten blocks to model 3.2+2.32.Ch. 7.2A - Write the decimals as fractions and then add....Ch. 7.2A - ASSESSMENT Write the decimals as fractions and...Ch. 7.2A - Prob. 4ACh. 7.2A - Johns calculator calculates correctly but does not...Ch. 7.2A - ASSESSMENT Multiply each number below by 0.01...Ch. 7.2A - ASSESSMENT
When you multiply a natural number by a...Ch. 7.2A - If Maura went to the store and bought a chair for...Ch. 7.2A - ASSESSMENT a. Complete the following magic square;...Ch. 7.2A - ASSESSMENT
Karin bought lb of peaches at lb and lb...Ch. 7.2A - Automobile engines were once measured in cubic...Ch. 7.2A - ASSESSMENT A stock rose 0.24 in the market on...Ch. 7.2A - Prob. 13ACh. 7.2A - A kilowatt hour means 1000 watts of electricity...Ch. 7.2A - Prob. 15ACh. 7.2A - ASSESSMENT
If each of the following sequences is...Ch. 7.2A - Prob. 17ACh. 7.2A - Prob. 18ACh. 7.2A - Estimate the placement of each of the following...Ch. 7.2A - Prob. 20ACh. 7.2A - Mikes class is building a model of the new World...Ch. 7.2A - Prob. 22ACh. 7.2A - Prob. 23ACh. 7.2A - Prob. 24ACh. 7.2A - Prob. 25ACh. 7.2A - ASSESSMENT Convert each of the following to...Ch. 7.2A - ASSESSMENT
Write the numerals in each of the...Ch. 7.2A - Prob. 28ACh. 7.2A - ASSESSMENT
Write the numerals in each of the...Ch. 7.2A - ASSESSMENT
Write the results of each of the...Ch. 7.2A - Round each of the following numbers as specified....Ch. 7.2A - Prob. 32ACh. 7.2A - Audrey wants to buy some camera equipment to take...Ch. 7.2A - ASSESSMENT Estimate the sum or difference in each...Ch. 7.2A - ASSESSMENT
Find the least and the greatest...Ch. 7.2A - Some digits in the following number are covered by...Ch. 7.2A - Iris worked a 40-hour week at 8.25/hr. Mentally...Ch. 7.2A - ASSESSMENT Mentally compute the number to fill in...Ch. 7.2A - ASSESSMENT
Which of the following result in equal...Ch. 7.2A - Prob. 40ACh. 7.2B - Prob. 1ACh. 7.2B - Prob. 2ACh. 7.2B - Prob. 3ACh. 7.2B - Assume the multiplication shown below is correct...Ch. 7.2B - Prob. 5ACh. 7.2B - Prob. 6ACh. 7.2B - When you multiply a positive decimal less than 1...Ch. 7.2B - Prob. 8ACh. 7.2B - Prob. 9ACh. 7.2B - Prob. 10ACh. 7.2B - Prob. 11ACh. 7.2B - Prob. 12ACh. 7.2B - Prob. 13ACh. 7.2B - Prob. 14ACh. 7.2B - Prob. 15ACh. 7.2B - If the first term of a finite geometric sequence...Ch. 7.2B - Prob. 17ACh. 7.2B - Prob. 18ACh. 7.2B - Prob. 19ACh. 7.2B - Prob. 20ACh. 7.2B - Prob. 21ACh. 7.2B - Prob. 22ACh. 7.2B - Prob. 23ACh. 7.2B - Prob. 24ACh. 7.2B - Prob. 25ACh. 7.2B - Prob. 26ACh. 7.2B - Prob. 27ACh. 7.2B - Prob. 28ACh. 7.2B - Prob. 29ACh. 7.2B - Round each of the following numbers as specified...Ch. 7.2B - Prob. 31ACh. 7.2B - Prob. 32ACh. 7.2B - Find the least and the greatest possible products...Ch. 7.2B - Prob. 35ACh. 7.2B - Prob. 36ACh. 7.2B - Prob. 37ACh. 7.2B - Prob. 39ACh. 7.3 - a. If a grocery store advertised three lemons for...Ch. 7.3 - A friend claims that every finite decimal is equal...Ch. 7.3 - Some addition problems are easier to compute with...Ch. 7.3 - Prob. 4MCCh. 7.3 - Notice that...Ch. 7.3 - Prob. 6MCCh. 7.3 - a. Does your calculator allow you to enter...Ch. 7.3 - Prob. 8MCCh. 7.3 - A student argues that repeating decimals are of...Ch. 7.3 - A student asks if a sum of two repeating decimals...Ch. 7.3 - A student needs to find 0.333348 without using a...Ch. 7.3 - Joe says terminating decimals are those with...Ch. 7.3 - Prob. 14MCCh. 7.3 - Prob. 15MCCh. 7.3 - Prob. 16MCCh. 7.3 - Prob. 17MCCh. 7.3 - Prob. 18MCCh. 7.3 - Prob. 19MCCh. 7.3A - Prob. 1ACh. 7.3A - a. Do 0.45777,0.4577 and 0.457 represent different...Ch. 7.3A - Write the first 10 decimal places for each of the...Ch. 7.3A - Which of the following is greater: 0.3625or0.3625?Ch. 7.3A - Write the following using a bar to indicate the...Ch. 7.3A - Prob. 6ACh. 7.3A - ASSESSMENT Convert each of the following repeating...Ch. 7.3A - Express 1 min as a repeating decimal part of an...Ch. 7.3A - ASSESSMENT Order the following decimals from...Ch. 7.3A - Prob. 10ACh. 7.3A - Prob. 11ACh. 7.3A - Give an argument why 317 must be a repeating...Ch. 7.3A - Prob. 13ACh. 7.3A - Explain whether a terminating decimal could ever...Ch. 7.3A - Find three decimals between each of the following...Ch. 7.3A - Find the decimal halfway between the decimals 0.4...Ch. 7.3A - a. Find three rational numbers between 34 and...Ch. 7.3A - Prob. 18ACh. 7.3A - a. Write each of the following as a fraction in...Ch. 7.3A - Use the fact that 0.9=1 to find the terminating...Ch. 7.3A - Prob. 21ACh. 7.3A - Prob. 22ACh. 7.3A - Find the sum of the finite geometric sequence...Ch. 7.3A - Prob. 24ACh. 7.3A - Consider the repeating decimals 0.235 and 0.2356....Ch. 7.3A - Find values of x such that each of the following...Ch. 7.3A - If a, b and c are digits, write 0.abc as a...Ch. 7.3A - Prob. 28ACh. 7.3A - Prob. 29ACh. 7.3B - Assessment Will 31234567 be a terminating decimal?...Ch. 7.3B - Prob. 2ACh. 7.3B - Prob. 3ACh. 7.3B - Prob. 4ACh. 7.3B - Assessment Write the following using a bar to...Ch. 7.3B - Assessment Find the decimal representation for...Ch. 7.3B - Prob. 7ACh. 7.3B - Prob. 8ACh. 7.3B - Prob. 9ACh. 7.3B - Prob. 10ACh. 7.3B - Prob. 11ACh. 7.3B - Prob. 12ACh. 7.3B - Prob. 14ACh. 7.3B - Assessment Find three decimals between each of the...Ch. 7.3B - Prob. 16ACh. 7.3B - Prob. 17ACh. 7.3B - Prob. 18ACh. 7.3B - Prob. 19ACh. 7.3B - Prob. 20ACh. 7.3B - Prob. 21ACh. 7.3B - ASSESSMENT Use the fact that 0.01=199 and...Ch. 7.3B - Prob. 23ACh. 7.3B - Prob. 24ACh. 7.3B - Assessment 7-3B Consider the repeating decimals...Ch. 7.3B - Prob. 26ACh. 7.3B - Prob. 27ACh. 7.3B - Prob. 28ACh. 7.3B - Prob. 29ACh. 7.4 - Use mental math to find 11 of 850. Explain your...Ch. 7.4 - Does 0.4=0.4? Explain.Ch. 7.4 - What does it mean to reach 125 of your savings...Ch. 7.4 - Is 4 of 98 the same as 98 of 4? Explain.Ch. 7.4 - a. If 25 of a number is 55, is the number greater...Ch. 7.4 - Can 35 of one number can be greater than 55 of...Ch. 7.4 - Why does one picture have so much more shaded area...Ch. 7.4 - Why is it possible to have an increase of 150 in...Ch. 7.4 - Two equal amounts of money were invested in two...Ch. 7.4 - Because of a recession, the value of a new house...Ch. 7.4 - Prob. 11MCCh. 7.4 - Each year a cars value depreciated 20 from the...Ch. 7.4 - If 70 of the girls in a class wanted to have a...Ch. 7.4 - If 70 of the girls in a class wanted to have a...Ch. 7.4 - Abe and Barb were shopping at a department store....Ch. 7.4 - Prob. 16MCCh. 7.4 - MATHEMATICAL CONNECTIONS Look at newspapers and...Ch. 7.4 - Prob. 19MCCh. 7.4 - Prob. 20MCCh. 7.4 - Prob. 25MCCh. 7.4 - A student claims that if prices at a store can...Ch. 7.4 - Prob. 27MCCh. 7.4 - Prob. 28MCCh. 7.4 - Noel read that women used to make 75c for every...Ch. 7.4 - A student claims that if the value of an item...Ch. 7.4 - a. Human bones make up 0.18 of a persons body...Ch. 7.4 - Write each of the following decimals in the form...Ch. 7.4 - Write a repeating decimal equal to each of the...Ch. 7.4 - Write 0.00024 as a fraction in simplest form.Ch. 7.4 - Prob. 35MCCh. 7.4 - Write each of the following as a standard numeral....Ch. 7.4 - Prob. 1NAEPCh. 7.4 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 7.4 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 7.4A - Prob. 1ACh. 7.4A - Copy the number line and fill in the blanks so...Ch. 7.4A - Express each of the following as a percent. a....Ch. 7.4A - Convert each of the following percent to a...Ch. 7.4A - Fill in the following blanks to find other...Ch. 7.4A - Draw a percent bar to represent 125 of 60. Set up...Ch. 7.4A - Answer each of the following question. a. What is...Ch. 7.4A - Prob. 8ACh. 7.4A - Prob. 9ACh. 7.4A - Assessment Gail received a 7 raise last year. If...Ch. 7.4A - Prob. 11ACh. 7.4A - Assessment If a dress that normally sells for 35...Ch. 7.4A - Prob. 13ACh. 7.4A - Prob. 14ACh. 7.4A - An airline ticket costs 320 without the tax. If...Ch. 7.4A - Prob. 16ACh. 7.4A - If 6623 of 1800 employees favored a new insurance...Ch. 7.4A - Which represents the greater percent:325500 or...Ch. 7.4A - Assessment An advertisement reads that if you buy...Ch. 7.4A - Prob. 20ACh. 7.4A - Prob. 21ACh. 7.4A - A crew consists of one apprentice, one journeyman,...Ch. 7.4A - a. In an incoming freshman class of 500 students,...Ch. 7.4A - Assessment Ms. Price has received a 10 raise in...Ch. 7.4A - Prob. 25ACh. 7.4A - If you wanted to spend 25 of your monthly salary...Ch. 7.4A - Prob. 27ACh. 7.4A - A tip in a restaurant has been typically figured...Ch. 7.4A - Assessment Suppose the percent bar below shows the...Ch. 7.4A - Prob. 30ACh. 7.4A - Assessment Sunscreens block ultraviolet UV rays...Ch. 7.4A - Complete the following compound interest chart....Ch. 7.4A - Assessment Ms. Jackson borrowed 42,000 at 8.75...Ch. 7.4A - Prob. 34ACh. 7.4A - Prob. 35ACh. 7.4A - Prob. 36ACh. 7.4A - Prob. 37ACh. 7.4A - The New Age Savings Bank advertises 4 annual...Ch. 7.4A - Prob. 39ACh. 7.4B - Prob. 1ACh. 7.4B - Prob. 2ACh. 7.4B - Assessment Express each of the following as a...Ch. 7.4B - Assessment Convert each of the following percents...Ch. 7.4B - Assessment Fill in the following blanks to find...Ch. 7.4B - Draw a percent bar to represent 150 of 60. Set up...Ch. 7.4B - Prob. 7ACh. 7.4B - Prob. 8ACh. 7.4B - Prob. 9ACh. 7.4B - Assessment Brandy received a 10 raise last year....Ch. 7.4B - Prob. 11ACh. 7.4B - Assessment A used car originally cost 1700. One...Ch. 7.4B - Assessment On a certain day in Glacier Park, 728...Ch. 7.4B - Prob. 14ACh. 7.4B - Prob. 15ACh. 7.4B - Prob. 16ACh. 7.4B - Prob. 17ACh. 7.4B - Prob. 18ACh. 7.4B - Prob. 19ACh. 7.4B - Prob. 20ACh. 7.4B - Prob. 21ACh. 7.4B - Prob. 22ACh. 7.4B - Prob. 23ACh. 7.4B - Prob. 24ACh. 7.4B - Prob. 25ACh. 7.4B - Prob. 26ACh. 7.4B - Prob. 27ACh. 7.4B - Prob. 28ACh. 7.4B - Prob. 29ACh. 7.4B - Prob. 30ACh. 7.4B - Complete the following compound interest chart....Ch. 7.4B - Prob. 32ACh. 7.4B - Prob. 33ACh. 7.4B - Prob. 34ACh. 7.4B - Prob. 35ACh. 7.4B - Prob. 36ACh. 7.4B - If a publishing company signed an agreement to...Ch. 7.4B - Prob. 38ACh. 7.4B - Prob. 39ACh. 7.CR - a. On the number line, find the decimals that...Ch. 7.CR - Write each of the following as a rational number...Ch. 7.CR - Prob. 3CRCh. 7.CR - A board is 442.4 cm long. How many shelves can be...Ch. 7.CR - Write each of the following as a decimal. a. 47 b....Ch. 7.CR - Prob. 6CRCh. 7.CR - Round each of the following number as specified....Ch. 7.CR - Rewrite each of the following in scientific...Ch. 7.CR - Prob. 9CRCh. 7.CR - Prob. 10CRCh. 7.CR - a. Find five decimals between 0.1 and 0.11 and...Ch. 7.CR - Answer each of the following questions. a.6 is...Ch. 7.CR - Prob. 13CRCh. 7.CR - Change each of the following percents to a...Ch. 7.CR - Prob. 15CRCh. 7.CR - Five computers in a shipment of 150 were found to...Ch. 7.CR - On a mathematics examination, a student missed 8...Ch. 7.CR - A used car costs 3450 at present. This is 60 of...Ch. 7.CR - Prob. 19CRCh. 7.CR - Jane bought a bicycle and sold it for 30 more than...Ch. 7.CR - Prob. 21CRCh. 7.CR - Prob. 22CRCh. 7.CR - Prob. 23CRCh. 7.CR - Chapter 7 Review A company was offered a 30,000...Ch. 7.CR - Prob. 25CRCh. 7.CR - Chapter 7 Review The crust of a certain pumpkin...Ch. 7 - In a set of base-ten blocks, let 1 flat represents...Ch. 7 - Prob. 2NTCh. 7 - Prob. 3NTCh. 7 - Prob. 4NTCh. 7 - Prob. 5NTCh. 7 - Prob. 6NT
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Sequences and Series Introduction; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=m5Yn4BdpOV0;License: Standard YouTube License, CC-BY
Introduction to sequences; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=VG9ft4_dK24;License: Standard YouTube License, CC-BY