DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Textbook Question
Chapter 1.4, Problem 6ES
b
Solve. Be sure to check.
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Students have asked these similar questions
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1 12 23
81
82
83
S4
$1
-20
1 1
0
0
0
3
82
3 0
-2
0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0
-1 1 4
2
-2
0 11
0
0
-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
Suppose we have a linear program in standard equation form
maximize c'x
subject to Ax=b,
x≥ 0.
and suppose u, v, and w are all optimal solutions to this linear program.
(a) Prove that zu+v+w is an optimal solution.
(b) If you try to adapt your proof from part (a) to prove that that u+v+w
is an optimal solution, say exactly which part(s) of the proof go wrong.
(c) If you try to adapt your proof from part (a) to prove that u+v-w is an
optimal solution, say exactly which part(s) of the proof go wrong.
Chapter 1 Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. 1.1 - What does the digit 2 mean in each number?
1.
Ch. 1.1 - What does the digit 2 mean in each number?
2.
Ch. 1.1 - What does the digit 2 mean in each number?...Ch. 1.1 - What does the digit 2 mean in each number?...Ch. 1.1 - What does the digit 2 mean in each number? 8924Ch. 1.1 - What does the digit 2 mean in each number?...Ch. 1.1 - Government Payroll. In March 2011, the total...Ch. 1.1 - Write expanded notation. GS 3915 mi, the length of...Ch. 1.1 - Prob. 9DECh. 1.1 - Write expanded notation. 1670 ft, the height of...
Ch. 1.1 - Write expanded notation. 104,094 square miles, the...Ch. 1.1 - Write a word name. (Refer to the chart on the...Ch. 1.1 - Write a word name. (Refer to the chart on the...Ch. 1.1 - Write a word name. (Refer to the chart on the...Ch. 1.1 - Write a word name. 204Ch. 1.1 - $44,640, the average annual wage for athletic...Ch. 1.1 - Write a word name. GS 1,879,204 One , eight...Ch. 1.1 - Write a word name. 7,052,428,785, the world...Ch. 1.1 - Write standard notation.
19. Two hundred thirteen...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Complete each statement with the correct word from...Ch. 1.1 - Complete each statement with the correct word from...Ch. 1.1 - Complete each statement with the correct word from...Ch. 1.1 - Complete each statement with the correct word from...Ch. 1.1 - What does the digit 5 mean in each number? 235,888Ch. 1.1 - What does the digit 5 mean in each number?
2.
Ch. 1.1 - What does the digit 5 mean in each number?...Ch. 1.1 - What does the digit 5 mean in each number? 500,736Ch. 1.1 - What digit names the number of: thousands?Ch. 1.1 - What digit names the number of: millions?Ch. 1.1 - What digit names the number of:
7. ten millions?...Ch. 1.1 - What digit names the number of:
8. hundred...Ch. 1.1 - Write expanded notation.
Stair-Climbing Races. The...Ch. 1.1 - Write expanded notation.
Stair-Climbing Races. The...Ch. 1.1 - Write expanded notation. Stair-Climbing Races. The...Ch. 1.1 - Write expanded notation.
Stair-Climbing Races. The...Ch. 1.1 - Write expanded notation.
13.
Ch. 1.1 - Write expanded notation.
14.
Ch. 1.1 - Prob. 15ESCh. 1.1 - Prob. 16ESCh. 1.1 - Population. The table below shows the populations...Ch. 1.1 - Population. The table below shows the populations...Ch. 1.1 - Population. The table below shows the populations...Ch. 1.1 - Population. The table below shows the populations...Ch. 1.1 - Write a word name.
21.
Ch. 1.1 - Write a word name. 48Ch. 1.1 - Write a word name. 88,000Ch. 1.1 - Write a word name.
24.
Ch. 1.1 - Write a word name. 123,765Ch. 1.1 - Write a word name.
26.
Ch. 1.1 - Write a word name.
27.
Ch. 1.1 - Write a word name. 43,550,651,808Ch. 1.1 - English Language Learners. In the 20072008...Ch. 1.1 - College Football. The 2012 Rose Bowl game was...Ch. 1.1 - Auto Racing. Dario Franchitti, winner of the 2012...Ch. 1.1 - 32. Busiest Airport. In 2010, the world’s busiest...Ch. 1.1 - Write each number in standard notation. Six...Ch. 1.1 - Write each number in standard notation.
34. Three...Ch. 1.1 - Write each number in standard notation.
35. Fifty...Ch. 1.1 - Write each number in standard notation. Seventeen...Ch. 1.1 - Prob. 37ESCh. 1.1 - Write each number in standard...Ch. 1.1 - Write each number in standard notation. Eight...Ch. 1.1 - Write each number in standard notation. Seven...Ch. 1.1 - Write each number in standard notation. Forty...Ch. 1.1 - Write each number in standard notation. Twenty-six...Ch. 1.1 - Write each number in standard notation.
43. Thirty...Ch. 1.1 - Write each number in standard notation. Two...Ch. 1.1 - Write standard notation for the number in each...Ch. 1.1 - Write standard notation for the number in each...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - Use or for to write a true sentence. Draw the...Ch. 1.1 - Use for to write a true sentence. Draw the number...Ch. 1.1 - New Book Titles. The number of new book titles...Ch. 1.1 - New Book Titles. The number of new book titles...Ch. 1.1 - Public Schools. The number of public schools in...Ch. 1.1 - 62. Life Expectancy. The life expectancy of a...Ch. 1.1 - 63. How many whole numbers between 100 and 400...Ch. 1.1 - What is the largest number that you can name on...Ch. 1.2 - Objective 1.1a: Give the meaning of digits in...Ch. 1.2 - Objective 1.1a: Give the meaning of digits in...Ch. 1.2 - Add. 6203+3542Ch. 1.2 - Add.
2. GS
Ch. 1.2 - Add. 9804+6378_Ch. 1.2 - Add.
4.
Ch. 1.2 - Find the perimeter of each figure. GSCh. 1.2 - Find the perimeter of each figure.
6.
Ch. 1.2 - Use a calculator to find each sum. 73+48Ch. 1.2 - Prob. 2CCE1Ch. 1.2 - Prob. 3CCE1Ch. 1.2 - Prob. 4CCE1Ch. 1.2 - Index Cards. Two standard sizes for index cards...Ch. 1.2 - GS Subtract. Check by adding. 78934092_ Check:Ch. 1.2 - Prob. 1CCE2Ch. 1.2 - Prob. 2CCE2Ch. 1.2 - Prob. 3CCE2Ch. 1.2 - Prob. 4CCE2Ch. 1.2 - Prob. 5CCE2Ch. 1.2 - Prob. 6CCE2Ch. 1.2 - Subtract. Check by adding. 86862358 _Ch. 1.2 - Subtract. Check by adding.
10.
Ch. 1.2 - Prob. 11DECh. 1.2 - Subtract. GS 503298 _Ch. 1.2 - Subtract.
13.
Ch. 1.2 - Subtract.
14.
Ch. 1.2 - Subtract. 90357489 _Ch. 1.2 - Subtract.
16.
Ch. 1.2 - Complete each statement with the appropriate word...Ch. 1.2 - Complete each statement with the appropriate word...Ch. 1.2 - Complete each statement with the appropriate word...Ch. 1.2 - Complete each statement with the appropriate word...Ch. 1.2 - Add.
1.
Ch. 1.2 - Add. 1521+348_Ch. 1.2 - Add. 86+78_Ch. 1.2 - Add. 73+69_Ch. 1.2 - Add.
5.
Ch. 1.2 - Add.
6.
Ch. 1.2 - Add.
7.
Ch. 1.2 - Add.
8.
Ch. 1.2 - Add. 8113+390Ch. 1.2 - Add.
10.
Ch. 1.2 - Add. 356+4910Ch. 1.2 - Add.
12.
Ch. 1.2 - Add. 23,443+10,989 _Ch. 1.2 - Add. 45,879+21,786Ch. 1.2 - Add.
15.
Ch. 1.2 - Add. 99,999+112 _Ch. 1.2 - Add. 12,0702,954+3,400 _Ch. 1.2 - Add.
18.
Ch. 1.2 - Add. 483572992048986+7931 _Ch. 1.2 - Add. 989566834920+703_Ch. 1.2 - Find the perimeter of each figure.
21.
Ch. 1.2 - Find the perimeter of each figure.
22.
Ch. 1.2 - Find the perimeter of a standard hockey rink.Ch. 1.2 - 24. In Major League baseball, how far does a...Ch. 1.2 - Subtract. Check by adding. 6521_Ch. 1.2 - Subtract. Check by adding.
26.
Ch. 1.2 - Subtract. Check by adding.
27.
Ch. 1.2 - Subtract. Check by adding. 526323_Ch. 1.2 - Subtract. Check by adding.
29.
Ch. 1.2 - Subtract. Check by adding.
30.
Ch. 1.2 - Subtract. Check by adding.
31.
Ch. 1.2 - Subtract. Check by adding.
32.
Ch. 1.2 - Subtract. Check by adding.
33.
Ch. 1.2 - Subtract. Check by adding. 887698Ch. 1.2 - Subtract. Check by adding.
35.
Ch. 1.2 - Subtract. Check by adding. 342217Ch. 1.2 - Subtract. Check by adding. 77692387 _Ch. 1.2 - Subtract. Check by adding. 64312896 _Ch. 1.2 - Subtract. Check by adding.
39.
Ch. 1.2 - Subtract. Check by adding. 83645375 _Ch. 1.2 - Subtract. Check by adding.
41.
Ch. 1.2 - Subtract. Check by adding.
42.
Ch. 1.2 - Subtract. Check by adding. 39472858Ch. 1.2 - Subtract. Check by adding.
44.
Ch. 1.2 - Subtract. Check by adding. 12,6474,899Ch. 1.2 - Subtract. Check by adding.
46.
Ch. 1.2 - Subtract. Check by adding. 51,34247,198 _Ch. 1.2 - Subtract. Check by adding. 32,19429,236 _Ch. 1.2 - Subtract. Check by adding.
49.
Ch. 1.2 - Subtract. Check by adding.
50.
Ch. 1.2 - Subtract. Check by adding. 690236 _Ch. 1.2 - Subtract. Check by adding.
52.
Ch. 1.2 - Subtract. Check by adding. 68083059 _Ch. 1.2 - Subtract. Check by adding.
54.
Ch. 1.2 - Subtract. Check by adding.
55.
Ch. 1.2 - Subtract. Check by adding. 75003604 _Ch. 1.2 - Subtract. Check by adding.
57.
Ch. 1.2 - Subtract. Check by adding. 84,703298Ch. 1.2 - Subtract. Check by adding. 101,7345760Ch. 1.2 - Subtract. Check by adding. 15,0177809Ch. 1.2 - Subtract. Check by adding. 60071589_Ch. 1.2 - Subtract. Check by adding. 8003599_Ch. 1.2 - Subtract. Check by adding.
63.
Ch. 1.2 - Subtract. Check by adding. 17,00011,598_Ch. 1.2 - Subtract. Check by adding.
65.
Ch. 1.2 - Prob. 66ESCh. 1.2 - Prob. 67ESCh. 1.2 - Prob. 68ESCh. 1.2 - 69. What does the digit 8 mean in 486,205?...Ch. 1.2 - Prob. 70ESCh. 1.2 - Prob. 71ESCh. 1.2 - A fast way to add all the numbers from 1 to 10...Ch. 1.3 - Objective 1.2c: Subtract whole numbers. Subtract....Ch. 1.3 - Objective 1.2c: Subtract whole numbers. Subtract....Ch. 1.3 - Prob. 1DECh. 1.3 - Prob. 2DECh. 1.3 - Prob. 3DECh. 1.3 - Prob. 4DECh. 1.3 - Prob. 1CCE1Ch. 1.3 - Prob. 2CCE1Ch. 1.3 - Prob. 3CCE1Ch. 1.3 - Prob. 4CCE1Ch. 1.3 - Prob. 5CCE1Ch. 1.3 - Prob. 6CCE1Ch. 1.3 - Prob. 5DECh. 1.3 - Prob. 6DECh. 1.3 - Prob. 7DECh. 1.3 - Prob. 8DECh. 1.3 - Prob. 9DECh. 1.3 - Prob. 10DECh. 1.3 - Prob. 11DECh. 1.3 - Prob. 12DECh. 1.3 - Prob. 13DECh. 1.3 - Prob. 14DECh. 1.3 - Prob. 15DECh. 1.3 - Prob. 16DECh. 1.3 - Prob. 17DECh. 1.3 - Prob. 18DECh. 1.3 - Prob. 19DECh. 1.3 - Prob. 20DECh. 1.3 - Prob. 21DECh. 1.3 - Prob. 22DECh. 1.3 - Prob. 23DECh. 1.3 - Prob. 24DECh. 1.3 - Prob. 25DECh. 1.3 - Prob. 26DECh. 1.3 - Prob. 27DECh. 1.3 - Prob. 28DECh. 1.3 - Prob. 29DECh. 1.3 - Prob. 30DECh. 1.3 - Prob. 31DECh. 1.3 - Prob. 1CCE2Ch. 1.3 - Prob. 2CCE2Ch. 1.3 - Prob. 3CCE2Ch. 1.3 - Prob. 4CCE2Ch. 1.3 - Prob. 32DECh. 1.3 - Prob. 33DECh. 1.3 - Prob. 34DECh. 1.3 - Prob. 35DECh. 1.3 - Prob. 36DECh. 1.3 - Prob. 37DECh. 1.3 - Prob. 38DECh. 1.3 - Round to the nearest ten. 73Ch. 1.3 - Prob. 40DECh. 1.3 - Prob. 41DECh. 1.3 - Prob. 42DECh. 1.3 - Prob. 43DECh. 1.3 - Prob. 44DECh. 1.3 - Prob. 45DECh. 1.3 - Prob. 46DECh. 1.3 - Prob. 47DECh. 1.3 - Prob. 48DECh. 1.3 - Prob. 49DECh. 1.3 - Prob. 50DECh. 1.3 - Prob. 51DECh. 1.3 - Prob. 52DECh. 1.3 - Prob. 53DECh. 1.3 - Prob. 54DECh. 1.3 - Prob. 55DECh. 1.3 - Prob. 56DECh. 1.3 - Prob. 57DECh. 1.3 - Prob. 58DECh. 1.3 - Prob. 59DECh. 1.3 - Prob. 60DECh. 1.3 - Prob. 61DECh. 1.3 - Prob. 62DECh. 1.3 - Prob. 63DECh. 1.3 - Refer to the chart in Example 23 to do Margin...Ch. 1.3 - Prob. 1RCCh. 1.3 - Prob. 2RCCh. 1.3 - Prob. 3RCCh. 1.3 - Prob. 4RCCh. 1.3 - Prob. 5RCCh. 1.3 - Prob. 6RCCh. 1.3 - Prob. 7RCCh. 1.3 - Prob. 8RCCh. 1.3 - Prob. 1ESCh. 1.3 - Prob. 2ESCh. 1.3 - Prob. 3ESCh. 1.3 - Prob. 4ESCh. 1.3 - Prob. 5ESCh. 1.3 - Prob. 6ESCh. 1.3 - Prob. 7ESCh. 1.3 - Prob. 8ESCh. 1.3 - Prob. 9ESCh. 1.3 - Prob. 10ESCh. 1.3 - Prob. 11ESCh. 1.3 - Prob. 12ESCh. 1.3 - Prob. 13ESCh. 1.3 - Prob. 14ESCh. 1.3 - Prob. 15ESCh. 1.3 - Prob. 16ESCh. 1.3 - Prob. 17ESCh. 1.3 - Prob. 18ESCh. 1.3 - Prob. 19ESCh. 1.3 - Prob. 20ESCh. 1.3 - Prob. 21ESCh. 1.3 - Prob. 22ESCh. 1.3 - Prob. 23ESCh. 1.3 - Prob. 24ESCh. 1.3 - Prob. 25ESCh. 1.3 - Prob. 26ESCh. 1.3 - Prob. 27ESCh. 1.3 - Prob. 28ESCh. 1.3 - Prob. 29ESCh. 1.3 - Prob. 30ESCh. 1.3 - Prob. 31ESCh. 1.3 - Prob. 32ESCh. 1.3 - Prob. 33ESCh. 1.3 - Prob. 34ESCh. 1.3 - Prob. 35ESCh. 1.3 - Prob. 36ESCh. 1.3 - Prob. 37ESCh. 1.3 - Prob. 38ESCh. 1.3 - Prob. 39ESCh. 1.3 - Prob. 40ESCh. 1.3 - Prob. 41ESCh. 1.3 - Prob. 42ESCh. 1.3 - Prob. 43ESCh. 1.3 - Prob. 44ESCh. 1.3 - Prob. 45ESCh. 1.3 - Prob. 46ESCh. 1.3 - Prob. 47ESCh. 1.3 - Prob. 48ESCh. 1.3 - Prob. 49ESCh. 1.3 - Prob. 50ESCh. 1.3 - Prob. 51ESCh. 1.3 - Prob. 52ESCh. 1.3 - Prob. 53ESCh. 1.3 - Prob. 54ESCh. 1.3 - Prob. 55ESCh. 1.3 - Prob. 56ESCh. 1.3 - Prob. 57ESCh. 1.3 - Prob. 58ESCh. 1.3 - Prob. 59ESCh. 1.3 - Prob. 60ESCh. 1.3 - Prob. 61ESCh. 1.3 - Prob. 62ESCh. 1.3 - Prob. 63ESCh. 1.3 - Prob. 64ESCh. 1.3 - Prob. 65ESCh. 1.3 - Prob. 66ESCh. 1.3 - Prob. 67ESCh. 1.3 - Prob. 68ESCh. 1.3 - Prob. 69ESCh. 1.3 - Prob. 70ESCh. 1.3 - Prob. 71ESCh. 1.3 - Prob. 72ESCh. 1.3 - Prob. 73ESCh. 1.3 - Prob. 74ESCh. 1.3 - Prob. 75ESCh. 1.3 - Prob. 76ESCh. 1.3 - Prob. 77ESCh. 1.3 - Prob. 78ESCh. 1.3 - Prob. 79ESCh. 1.3 - Prob. 80ESCh. 1.3 - Prob. 81ESCh. 1.3 - Prob. 82ESCh. 1.3 - Prob. 83ESCh. 1.3 - Prob. 84ESCh. 1.3 - Prob. 85ESCh. 1.3 - Prob. 86ESCh. 1.3 - Prob. 87ESCh. 1.3 - Prob. 88ESCh. 1.3 - Prob. 89ESCh. 1.3 - Prob. 90ESCh. 1.3 - Prob. 91ESCh. 1.3 - Prob. 92ESCh. 1.3 - Prob. 93ESCh. 1.3 - Prob. 94ESCh. 1.3 - Prob. 95ESCh. 1.3 - Prob. 96ESCh. 1.3 - Prob. 97ESCh. 1.3 - Prob. 98ESCh. 1.3 - Prob. 99ESCh. 1.3 - Prob. 100ESCh. 1.3 - Prob. 101ESCh. 1.3 - Prob. 102ESCh. 1.3 - Prob. 103ESCh. 1.3 - Prob. 104ESCh. 1.3 - Prob. 105ESCh. 1.3 - Prob. 106ESCh. 1.3 - Prob. 107ESCh. 1.3 - Prob. 108ESCh. 1.3 - Prob. 109ESCh. 1.3 - Prob. 110ESCh. 1.3 - Prob. 111ESCh. 1.3 - Prob. 112ESCh. 1.3 - Prob. 113ESCh. 1.3 - Prob. 114ESCh. 1.3 - Prob. 115ESCh. 1.3 - Prob. 116ESCh. 1.3 - Prob. 117ESCh. 1.3 - Prob. 118ESCh. 1.3 - Prob. 119ESCh. 1.3 - Prob. 120ESCh. 1.3 - Prob. 121ESCh. 1.3 - Prob. 122ESCh. 1.3 - Prob. 123ESCh. 1.3 - Prob. 124ESCh. 1.3 - Prob. 125ESCh. 1.3 - Prob. 126ESCh. 1.3 - Prob. 127ESCh. 1.3 - Prob. 128ESCh. 1.3 - Prob. 129ESCh. 1.3 - Estimate each sum or difference by first rounding...Ch. 1.3 - Estimate each sum or difference by first rounding...Ch. 1.3 - Estimate each sum or difference by first rounding...Ch. 1.3 - Prob. 133ESCh. 1.3 - Prob. 134ESCh. 1.3 - Prob. 135ESCh. 1.3 - Prob. 136ESCh. 1.3 - Prob. 137ESCh. 1.3 - Prob. 138ESCh. 1.3 - Prob. 139ESCh. 1.3 - Prob. 140ESCh. 1.3 - Prob. 141ESCh. 1.3 - Prob. 142ESCh. 1.3 - Prob. 143ESCh. 1.3 - Prob. 144ESCh. 1.3 - Prob. 145ESCh. 1.3 - Estimate each quotient by first rounding to the...Ch. 1.3 - Estimate each quotient by first rounding to the...Ch. 1.3 - Estimate each quotient by first rounding to the...Ch. 1.3 - Estimate each quotient by first rounding to the...Ch. 1.3 - Estimate each quotient by first rounding to the...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Planning a Vacation. Most cruise ships offer a...Ch. 1.3 - Add. [1.2a]
159.
Ch. 1.3 - Add. [1.2a] 9002+4587_Ch. 1.3 - Subtract. [1.2c] 9876987_Ch. 1.3 - Subtract. [1.2c]
162.
Ch. 1.3 - What does the digit 4 mean in 9,482,157? [1.1a]Ch. 1.3 - 164. Write expanded notation for 12,847. [1.1b]
Ch. 1.3 - Find the perimeter of the figure. [1.2b]
165.
Ch. 1.3 - Find the perimeter of the figure. [1.2b]
166.
Ch. 1.3 - 167. Complete the following...Ch. 1.3 - Find a pair of factors whose product is 36 and: a....Ch. 1.3 - A group of 1231 college students is going to use...Ch. 1.3 - Fill in the missing digits to make the equation...Ch. 1.3 - 171. An 18-story office building is box-shaped....Ch. 1.4 - Objective 1.3c: Divide whole numbers. Divide....Ch. 1.4 - Prob. 2SRCh. 1.4 - Find a number that makes each sentence true.Ch. 1.4 - Find a number that makes each sentence true.
2.
...Ch. 1.4 - Determine whether 7 is a solution of.Ch. 1.4 - Determine whether 4 is a solution of.Ch. 1.4 - Solve by trial. n+3=8Ch. 1.4 - Solve by trial. x2=8Ch. 1.4 - Solve by trial. 459=yCh. 1.4 - Solve by trial. 10+t=32Ch. 1.4 - Solve.
9.
Ch. 1.4 - Solve. x=2347+6675Ch. 1.4 - Solve.
11.
Ch. 1.4 - Solve. x=60072346Ch. 1.4 - Solve. Be sure to check.
13. GS
Check:
Ch. 1.4 - Solve. Be sure to check.
14.
Ch. 1.4 - Prob. 15DECh. 1.4 - Solve. Be sure to check.
16.
Ch. 1.4 - Solve. Be sure to check.
17.
Ch. 1.4 - Solve. Be sure to check.
18.
Ch. 1.4 - Solve. Be sure to check. 144=9nGS1449=9n=n...Ch. 1.4 - Solve. Be sure to check.
20.
Ch. 1.4 - Solve. Be sure to check.
21.
Ch. 1.4 - Solve. Be sure to check.
22.
Ch. 1.4 - Match each word with its definition from the list...Ch. 1.4 - Match each word with its definition from the list...Ch. 1.4 - Match each word with its definition from the list...Ch. 1.4 - Match each word with its definition from the list...Ch. 1.4 - a Solve by trial. x+0=14Ch. 1.4 - a Solve by trial. x7=18Ch. 1.4 - a
Solve by trial.
3.
Ch. 1.4 - a
Solve by trial.
4.
Ch. 1.4 - b
Solve. Be sure to check.
5.
Ch. 1.4 - b Solve. Be sure to check. t=5678+9034Ch. 1.4 - b
Solve. Be sure to check.
7.
Ch. 1.4 - b
Solve. Be sure to check.
8.
Ch. 1.4 - b Solve. Be sure to check. 1622=yCh. 1.4 - b
Solve. Be sure to check.
10.
Ch. 1.4 - b Solve. Be sure to check. t=1255Ch. 1.4 - b Solve. Be sure to check. w=25616Ch. 1.4 - b
Solve. Be sure to check.
13.
Ch. 1.4 - b Solve. Be sure to check. 15+t=22Ch. 1.4 - b Solve. Be sure to check. 12=12+mCh. 1.4 - b Solve. Be sure to check. 16=t+16Ch. 1.4 - b
Solve. Be sure to check.
17.
Ch. 1.4 - b Solve. Be sure to check. 20+x=57Ch. 1.4 - b Solve. Be sure to check. 61=16+yCh. 1.4 - b Solve. Be sure to check. 53=17+wCh. 1.4 - b
Solve. Be sure to check.
21.
Ch. 1.4 - b Solve. Be sure to check. 6x=42Ch. 1.4 - b Solve. Be sure to check. 112=n8Ch. 1.4 - b
Solve. Be sure to check.
24.
Ch. 1.4 - b Solve. Be sure to check. 3m=96Ch. 1.4 - b
Solve. Be sure to check.
26.
Ch. 1.4 - b
Solve. Be sure to check.
27.
Ch. 1.4 - Solve. Be sure to check.
28.
Ch. 1.4 - Solve. Be sure to check. 8322+9281=xCh. 1.4 - b
Solve. Be sure to check.
30.
Ch. 1.4 - b Solve. Be sure to check. 47+n=84Ch. 1.4 - Solve. Be sure to check.
32.
Ch. 1.4 - b Solve. Be sure to check. 4523=xCh. 1.4 - b
Solve. Be sure to check.
34.
Ch. 1.4 - Solve. Be sure to check. x+78=144Ch. 1.4 - Solve. Be sure to check. z+67=133Ch. 1.4 - Solve. Be sure to check. 6p=1944Ch. 1.4 - Solve. Be sure to check. 4w=3404Ch. 1.4 - Solve. Be sure to check. 567+x=902Ch. 1.4 - Solve. Be sure to check. 438+x=807Ch. 1.4 - Solve. Be sure to check. 23478=yCh. 1.4 - Solve. Be sure to check. 10,534458=qCh. 1.4 - Solve. Be sure to check. 18x=1872Ch. 1.4 - Solve. Be sure to check. 19x=6080Ch. 1.4 - Solve. Be sure to check.
45.
Ch. 1.4 - Solve. Be sure to check. 20x=1500Ch. 1.4 - Prob. 47ESCh. 1.4 - Solve. Be sure to check.
48.
Ch. 1.4 - Prob. 49ESCh. 1.4 - Solve. Be sure to check.
50.
Ch. 1.4 - Solve. Be sure to check.
51.
Ch. 1.4 - Solve. Be sure to check. 660=12nCh. 1.4 - Solve. Be sure to check. 58m=11,890Ch. 1.4 - Solve. Be sure to check. 233x=22,135Ch. 1.4 - Solve. Be sure to check. 49134=yCh. 1.4 - Solve. Be sure to check. 51263=zCh. 1.4 - Divide. [1.3c] 12839Ch. 1.4 - Divide. [1.3c] 12789Ch. 1.4 - Divide. [1.3c] 175678Ch. 1.4 - Divide. [1.3c] 175689Ch. 1.4 - Use or for to write a true sentence. [1.1d]...Ch. 1.4 - Use for to write a true sentence. [1.1d]
62.
Ch. 1.4 - Use or for to write a true sentence. [1.1d] 6880Ch. 1.4 - Use or for to write a true sentence. [1.1d] 011Ch. 1.4 - Prob. 65ESCh. 1.4 - Round 6,375,602 to the nearest ten. [1.3d]Ch. 1.4 - Solve. 23,465x=8,142,355Ch. 1.4 - Solve. 48,916x=14,332,388Ch. 1.4 - Concept Reinforcement Determine whether each...Ch. 1.4 - Concept Reinforcement Determine whether each...Ch. 1.4 - Concept Reinforcement
Determine whether each...Ch. 1.4 - Concept Reinforcement Determine whether each...Ch. 1.4 - Concept Reinforcement Determine whether each...Ch. 1.4 - GS Fill in each blank with the number that creates...Ch. 1.4 - GS Fill in each blank with the number that creates...Ch. 1.4 - In each of the following numbers what does the...Ch. 1.4 - In each of the following numbers what does the...Ch. 1.4 - In each of the following numbers what does the...Ch. 1.4 - In each of the following numbers what does the...Ch. 1.4 - Consider the number 306,458,129. What digit names...Ch. 1.4 - Consider the number 306,458,129. What digit names...Ch. 1.4 - Consider the number 306,458,129. What digit names...Ch. 1.4 - Consider the number 306,458,129. What digit names...Ch. 1.4 - Write expanded notation. [1.1b]
16.
Ch. 1.4 - Write expanded notation. [1.1b]
17.
Ch. 1.4 - Write a word name. [1.1c]
18.
Ch. 1.4 - Write a word name. [1.1c] 64,325Ch. 1.4 - Write standard notation. [1.1c] Three hundred...Ch. 1.4 - Write standard notation. [1.1c]
21. Four million,...Ch. 1.4 - Use or for to write a true sentence. [1.1d]Ch. 1.4 - Use or for to write a true sentence. [1.1d]Ch. 1.4 - Use for to write a true sentence. [1.1d]
24.
Ch. 1.4 - Use or for to write a true sentence. [1.1d]Ch. 1.4 - Solve. [1.4b] 4b=72Ch. 1.4 - Solve. [1.4b]
27.
Ch. 1.4 - Solve. [1.4b]
28.
Ch. 1.4 - Solve. [1.4b] 3902260=yCh. 1.4 - Add. [1.2a]
30.
Ch. 1.4 - Prob. 31MCRCh. 1.4 - Add. [1.2a]
32.
Ch. 1.4 - Add. [1.2a] 46172436+481_Ch. 1.4 - Subtract. [1.2c]
34.
Ch. 1.4 - Subtract. [1.2c]
35.
Ch. 1.4 - Subtract. [1.2c]
36.
Ch. 1.4 - Subtract. [1.2c] 5004676_Ch. 1.4 - Multiply. [1.3a] 366_Ch. 1.4 - Multiply. [1.3a]
39.
Ch. 1.4 - Multiply. [1.3a] 407325_Ch. 1.4 - Multiply. [1.3a] 9435602_Ch. 1.4 - Divide. [1.3c] 41012Ch. 1.4 - Divide. [1.3c] 384261Ch. 1.4 - Divide. [1.3c]
44.
Ch. 1.4 - Prob. 45MCRCh. 1.4 - Prob. 46MCRCh. 1.4 - Prob. 47MCRCh. 1.4 - Prob. 48MCRCh. 1.4 - Prob. 49MCRCh. 1.4 - Prob. 50MCRCh. 1.4 - Prob. 51MCRCh. 1.4 - Prob. 52MCRCh. 1.4 - Prob. 53MCRCh. 1.4 - Prob. 54MCRCh. 1.5 - Objective 1.3e: Estimate sums, differences,...Ch. 1.5 - Prob. 2SRCh. 1.5 - Refer to the table in Example 1 to do Margin...Ch. 1.5 - Prob. 2DECh. 1.5 - Prob. 3DECh. 1.5 - 4. GS Reading Assignment. William has been...Ch. 1.5 - Prob. 5DECh. 1.5 - Prob. 6DECh. 1.5 - Prob. 7DECh. 1.5 - Prob. 8DECh. 1.5 - Prob. 9DECh. 1.5 - Prob. 1TFSCh. 1.5 - Prob. 2TFSCh. 1.5 - Prob. 3TFSCh. 1.5 - Prob. 4TFSCh. 1.5 - Prob. 5TFSCh. 1.5 - Prob. 6TFSCh. 1.5 - Prob. 7TFSCh. 1.5 - Prob. 8TFSCh. 1.5 - Prob. 9TFSCh. 1.5 - Prob. 10TFSCh. 1.5 - Prob. 1RCCh. 1.5 - Prob. 2RCCh. 1.5 - Prob. 3RCCh. 1.5 - Prob. 4RCCh. 1.5 - List the steps of the problem-solving strategy in...Ch. 1.5 - Prob. 1ESCh. 1.5 - a Solve. Towers Never Built. The buildings shown...Ch. 1.5 - Prob. 3ESCh. 1.5 - a Solve. Towers Never Built. The buildings shown...Ch. 1.5 - Prob. 5ESCh. 1.5 - 6. Caffeine Content. Hershey’s 6-oz milk chocolate...Ch. 1.5 - Prob. 7ESCh. 1.5 - Lou arranges 504 entries on a spreadsheet in a...Ch. 1.5 - Olympics. There were 302 events in the 2012 Summer...Ch. 1.5 - Prob. 10ESCh. 1.5 - Prob. 11ESCh. 1.5 - Prob. 12ESCh. 1.5 - Prob. 13ESCh. 1.5 - Prob. 14ESCh. 1.5 - Prob. 15ESCh. 1.5 - Prob. 16ESCh. 1.5 - Prob. 17ESCh. 1.5 - Prob. 18ESCh. 1.5 - Prob. 19ESCh. 1.5 - Prob. 20ESCh. 1.5 - Prob. 21ESCh. 1.5 - Prob. 22ESCh. 1.5 - Prob. 23ESCh. 1.5 - Prob. 24ESCh. 1.5 - Prob. 25ESCh. 1.5 - Prob. 26ESCh. 1.5 - Prob. 27ESCh. 1.5 - Prob. 28ESCh. 1.5 - Prob. 29ESCh. 1.5 - Prob. 30ESCh. 1.5 - Prob. 31ESCh. 1.5 - Prob. 32ESCh. 1.5 - Prob. 33ESCh. 1.5 - Prob. 34ESCh. 1.5 - Prob. 35ESCh. 1.5 - Prob. 36ESCh. 1.5 - 37. High School Court. The standard basketball...Ch. 1.5 - 38. College Court. The standard basketball court...Ch. 1.5 - 39. Copies of this book are usually shipped from...Ch. 1.5 - The H. J. Heinz Company ships 16-oz bottles of...Ch. 1.5 - Map Drawing. A map has a scale of 215 mi to the...Ch. 1.5 - Map Drawing. A map has a scale of 288 mi to the...Ch. 1.5 - Loan Payments. Dana borrows $5928 for a used car....Ch. 1.5 - Home Improvement Loan. The Van Reken family...Ch. 1.5 - Refer to the information in Example 7 to do...Ch. 1.5 - Refer to the information in Example 7 to do...Ch. 1.5 - New Jobs. Many of the fastest-growing occupations...Ch. 1.5 - New Jobs. Many of the fastest-growing occupations...Ch. 1.5 - 49. Seating Configuration. The seats in the Boeing...Ch. 1.5 - 50. Seating Configuration. The seats in the Airbus...Ch. 1.5 - 51. Elena buys 5 video games at $64 each and pays...Ch. 1.5 - Pedro buys 5 video games at $64 each and pays for...Ch. 1.5 - 53. The balance in Meg’s bank account is $568. She...Ch. 1.5 - Prob. 54ESCh. 1.5 - 55. Bones in the Hands and Feet. There are 27...Ch. 1.5 - Prob. 56ESCh. 1.5 - 57. Add.
[1.2a]
Ch. 1.5 - Subtract. [1.2c] 96021843 _Ch. 1.5 - Multiply. [1.3a] 3405237_Ch. 1.5 - Divide. [1.3c] 324708Ch. 1.5 - Find the perimeter of the figure.Ch. 1.5 - Find the area of the region.Ch. 1.5 - 63. Estimate by rounding to the nearest...Ch. 1.5 - Solve: x+15=81. [1.4b]Ch. 1.5 - 65. Speed of Light. Light travels about 186,000...Ch. 1.5 - Carney Community College has 1200 students. Each...Ch. 1.6 - Objective 1.3a: Multiply whole numbers. Multiply....Ch. 1.6 - Objective 1.3a: Multiply whole numbers. Multiply....Ch. 1.6 - Write exponential notation.
1.
Ch. 1.6 - Write exponential notation.
2.
Ch. 1.6 - Write exponential notation. 1010Ch. 1.6 - Write exponential notation.
4.
Ch. 1.6 - 5. GS Evaluate:
Ch. 1.6 - Evaluate.
6.
Ch. 1.6 - Evaluate. 83Ch. 1.6 - Evaluate. 25Ch. 1.6 - Prob. 1CCE1Ch. 1.6 - Prob. 2CCE1Ch. 1.6 - Prob. 3CCE1Ch. 1.6 - Prob. 4CCE1Ch. 1.6 - Simplify. 93143Ch. 1.6 - Simplify. 1044+4Ch. 1.6 - Simplify.
11.
Ch. 1.6 - Simplify. 755+(8314)Ch. 1.6 - Simplify and compare.
13.
Ch. 1.6 - Simplify and compare.
14.
Ch. 1.6 - GS Simplify: 94(20+4)8(62).94(20+4)8(62)...Ch. 1.6 - Simplify.
16.
Ch. 1.6 - Simplify. 3052+1020+8823Ch. 1.6 - Simplify. 952225(244)Ch. 1.6 - Simplify. 53+2671(16+253)Ch. 1.6 - Simplify.
20.
Ch. 1.6 - Simplify.
21.
Ch. 1.6 - Simplify: 232829Ch. 1.6 - Prob. 1CCE2Ch. 1.6 - Prob. 2CCE2Ch. 1.6 - Prob. 3CCE2Ch. 1.6 - Prob. 4CCE2Ch. 1.6 - Prob. 5CCE2Ch. 1.6 - Prob. 6CCE2Ch. 1.6 - 23. Average Number of Career Hits. The numbers of...Ch. 1.6 - Simplify.
24.
Ch. 1.6 - Simplify.
25. GS
Ch. 1.6 - Complete each statement by choosing the correct...Ch. 1.6 - Complete each statement by choosing the correct...Ch. 1.6 - Complete each statement by choosing the correct...Ch. 1.6 - Complete each statement by choosing the correct...Ch. 1.6 - Prob. 1ESCh. 1.6 - Prob. 2ESCh. 1.6 - a
Write exponential notation.
3.
Ch. 1.6 - Prob. 4ESCh. 1.6 - a Write exponential notation. 77777Ch. 1.6 - a
Write exponential notation.
6.
Ch. 1.6 - a Write exponential notation. 101010Ch. 1.6 - Prob. 8ESCh. 1.6 - b Evaluate. 72Ch. 1.6 - b Evaluate. 53Ch. 1.6 - b Evaluate. 93Ch. 1.6 - b Evaluate. 82Ch. 1.6 - b Evaluate. 124Ch. 1.6 - b
Evaluate.
14.
Ch. 1.6 - b Evaluate. 35Ch. 1.6 - b Evaluate. 26Ch. 1.6 - c Simplify. 12+(6+4)Ch. 1.6 - c Simplify. (12+6)+18Ch. 1.6 - c Simplify. 52(408)Ch. 1.6 - c
Simplify.
20.
Ch. 1.6 - c Simplify. 1000(10010)Ch. 1.6 - c
Simplify.
22.
Ch. 1.6 - c Simplify. (25664)4Ch. 1.6 - c Simplify. 256(644)Ch. 1.6 - c
Simplify.
25.
Ch. 1.6 - c
Simplify.
26.
Ch. 1.6 - c Simplify. (118)2(1816)2Ch. 1.6 - c Simplify. (3227)3+(19+1)3Ch. 1.6 - c Simplify. 1624+50Ch. 1.6 - c Simplify. 23+1820Ch. 1.6 - c Simplify. 8376Ch. 1.6 - c Simplify. 1074Ch. 1.6 - c Simplify. 101034Ch. 1.6 - c Simplify. 90552Ch. 1.6 - c Simplify. 4384Ch. 1.6 - c
Simplify.
36.
Ch. 1.6 - c Simplify. 1720(17+20)Ch. 1.6 - c
Simplify.
38.
Ch. 1.6 - c Simplify. 610410Ch. 1.6 - c Simplify. 38+58Ch. 1.6 - c
Simplify.
41.
Ch. 1.6 - c Simplify. 14442Ch. 1.6 - c Simplify. 3(2+8)25(43)2Ch. 1.6 - c
Simplify.
44.
Ch. 1.6 - c
Simplify.
45.
Ch. 1.6 - c
Simplify.
46.
Ch. 1.6 - c
Simplify.
47.
Ch. 1.6 - c Simplify. 72+204(28+92)Ch. 1.6 - c
Simplify.
49.
Ch. 1.6 - c
Simplify.
50.
Ch. 1.6 - c Simplify. 120334(5664)Ch. 1.6 - c
Simplify.
52.
Ch. 1.6 - c
Simplify.
53.
Ch. 1.6 - c Simplify. 27252422Ch. 1.6 - 55. Find the average of $64, $97, and $121.
Ch. 1.6 - 56. Find the average of four test grades of 86,...Ch. 1.6 - Find the average of 320, 128, 276, and 880.Ch. 1.6 - Find the average of $1025, $775, $2062, $942, and...Ch. 1.6 - Simplify.
59.
Ch. 1.6 - Simplify. 726{2[9(42)]}Ch. 1.6 - Simplify. [ 14(3+5)2 ][ 18(82) ]Ch. 1.6 - Simplify. [ 92(64)8 ]+[ 7(83) ]Ch. 1.6 - Simplify. (8214)[ (10+455)(6655) ]Ch. 1.6 - Simplify.
64.
Ch. 1.6 - Simplify.
65.
Ch. 1.6 - Simplify. 15(2342)3(325)Ch. 1.6 - Simplify.
67.
Ch. 1.6 - Simplify.
68.
Ch. 1.6 - Solve. [1.4b] x+341=793Ch. 1.6 - Solve. [1.4b]
70.
Ch. 1.6 - Solve. [1.4b]
71.
Ch. 1.6 - Solve. [1.4b] 1554=42yCh. 1.6 - Solve. [1.4b] 6000=1102+tCh. 1.6 - Solve. [1.4b] 10,000=100tCh. 1.6 - Solve. [1.5a] Colorado. The state of Colorado is...Ch. 1.6 - Solve. [1.5a] On a long four-day trip, a family...Ch. 1.6 - Each of the answers in Exercises 7779 is...Ch. 1.6 - Each of the answers in Exercises 7779 is...Ch. 1.6 - Each of the answers in Exercises 77–79 is...Ch. 1.6 - Use one occurrence each of 1, 2, 3, 4, 5, 6, 7, 8,...Ch. 1.7 - Objective 1.3c: Divide whole numbers. Divide. 3298Ch. 1.7 - Objective 1.3c: Divide whole numbers. Divide....Ch. 1.7 - Determine whether the second number is a factor of...Ch. 1.7 - Determine whether the second number is a factor of...Ch. 1.7 - List all the factors of each number.
3. 10
Ch. 1.7 - List all the factors of each number. GS 45 6, 7,...Ch. 1.7 - List all the factors of each number.
5.
Ch. 1.7 - List all the factors of each number. 24Ch. 1.7 - 7. Show that each of the numbers 5, 45, and 100 is...Ch. 1.7 - Show that each of the numbers 10, 60, and 110 is a...Ch. 1.7 - 9. Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - 10. GS Determine whether 16 is divisible by...Ch. 1.7 - Determine whether 125 is divisible by 5.Ch. 1.7 - Determine whether 125 is divisible by 6.Ch. 1.7 - Tell whether each number is prime, composite, or...Ch. 1.7 - Prob. 1CCE1Ch. 1.7 - Prob. 2CCE1Ch. 1.7 - Prob. 3CCE1Ch. 1.7 - Prob. 4CCE1Ch. 1.7 - Find the prime factorization of each number. 6Ch. 1.7 - Find the prime factorization of each...Ch. 1.7 - Find the prime factorization of each number. 45Ch. 1.7 - Find the prime factorization of each number. 98Ch. 1.7 - Find the prime factorization of each...Ch. 1.7 - Find the prime factorization of each number. 144Ch. 1.7 - Find the prime factorization of each...Ch. 1.7 - Find the prime factorization of each number. 1925Ch. 1.7 - Determine whether each statement is true or false....Ch. 1.7 - Prob. 2RCCh. 1.7 - Determine whether each statement is true or...Ch. 1.7 - Determine whether each statement is true or...Ch. 1.7 - Determine whether each statement is true or false....Ch. 1.7 - Determine whether each statement is true or false....Ch. 1.7 - a Determine whether the second number is a factor...Ch. 1.7 - a Determine whether the second number is a factor...Ch. 1.7 - a
Determine whether the second number is a factor...Ch. 1.7 - a Determine whether the second number is a factor...Ch. 1.7 - List all the factors of each number.
5. 18
Ch. 1.7 - List all the factors of each number. 16Ch. 1.7 - List all the factors of each number. 54Ch. 1.7 - List all the factors of each number. 48Ch. 1.7 - List all the factors of each number. 4Ch. 1.7 - List all the factors of each number. 9Ch. 1.7 - List all the factors of each number. 1Ch. 1.7 - List all the factors of each number. 13Ch. 1.7 - List all the factors of each number. 98Ch. 1.7 - List all the factors of each number. 100Ch. 1.7 - List all the factors of each number. 255Ch. 1.7 - List all the factors of each number.
16. 120
Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b
Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b
Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b
Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b
Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - b Multiply by 1, 2, 3, and so on, to find ten...Ch. 1.7 - Determine whether 26 is divisible by 6.Ch. 1.7 - 30. Determine whether 48 is divisible by 8.
Ch. 1.7 - Determine whether 1880 is divisible by 8.Ch. 1.7 - Determine whether 4227 is divisible by 3.Ch. 1.7 - Determine whether 256 is divisible by 16.Ch. 1.7 - 34. Determine whether 102 is divisible by 4.
Ch. 1.7 - Determine whether 4227 is divisible by 9.Ch. 1.7 - 36. Determine whether 4143 is divisible by 7.
Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c
Determine whether each number is prime,...Ch. 1.7 - c Determine whether each number is prime,...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d Find the prime factorization of each number. 16Ch. 1.7 - d Find the prime factorization of each number. 14Ch. 1.7 - d Find the prime factorization of each number. 15Ch. 1.7 - d Find the prime factorization of each number. 42Ch. 1.7 - d Find the prime factorization of each number. 32Ch. 1.7 - d Find the prime factorization of each number. 25Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d Find the prime factorization of each number. 50Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d Find the prime factorization of each number. 70Ch. 1.7 - d Find the prime factorization of each number. 72Ch. 1.7 - d Find the prime factorization of each number. 86Ch. 1.7 - d Find the prime factorization of each number. 77Ch. 1.7 - d Find the prime factorization of each number. 99Ch. 1.7 - d Find the prime factorization of each number....Ch. 1.7 - d Find the prime factorization of each number. 484Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d Find the prime factorization of each number....Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d Find the prime factorization of each number. 273Ch. 1.7 - d
Find the prime factorization of each...Ch. 1.7 - d Find the prime factorization of each number....Ch. 1.7 - d Find the prime factorization of each number....Ch. 1.7 - What does the digit 4 mean in each number? [1.1a]...Ch. 1.7 - What does the digit 4 mean in each number?...Ch. 1.7 - What does the digit 4 mean in each number?...Ch. 1.7 - What does the digit 4 mean in each number? [1.1a]...Ch. 1.7 - Round 2,428,497 to the nearest: [1.3d] Ten.Ch. 1.7 - Round 2,428,497 to the nearest: [1.3d] Hundred.Ch. 1.7 - Round 34,562 to the nearest: Thousand.Ch. 1.7 - Round 34,562 to the nearest: Ten.Ch. 1.7 - Factors and Sums. The top number in each column of...Ch. 1.8 - Objective 1.2a:Add whole numbers. Add. 9+8+2+1Ch. 1.8 - Objective 1.2a: Add whole numbers.
Add.
2.
Ch. 1.8 - Determine whether each number is divisible by 2.Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 2....Ch. 1.8 - Determine whether each number is divisible by 3....Ch. 1.8 - Determine whether each number is divisible by 3....Ch. 1.8 - Determine whether each number is divisible by 3....Ch. 1.8 - Determine whether each number is divisible by 3....Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 6....Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 6....Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 9....Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 10....Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 5....Ch. 1.8 - Determine whether each number is divisible by 5....Ch. 1.8 - Determine whether each number is divisible by 4....Ch. 1.8 - Determine whether each number is divisible by 4....Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by...Ch. 1.8 - Determine whether each number is divisible by 8....Ch. 1.8 - Determine whether each number is divisible by 8....Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - Match the beginning of each divisibility rule with...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a
For Exercises 1–16, answer yes or no and give a...Ch. 1.8 - a For Exercises 116, answer yes or no and give a...Ch. 1.8 - For Exercises 17–24, test each number for...Ch. 1.8 - For Exercises 17–24, test each number for...Ch. 1.8 - For Exercises 1724, test each number for...Ch. 1.8 - For Exercises 1724, test each number for...Ch. 1.8 - For Exercises 17–24, test each number for...Ch. 1.8 - For Exercises 1724, test each number for...Ch. 1.8 - For Exercises 1724, test each number for...Ch. 1.8 - For Exercises 17–24, test each number for...Ch. 1.8 - To answer Exercises 2532, consider the following...Ch. 1.8 - To answer Exercises 25–32, consider the...Ch. 1.8 - To answer Exercises 25–32, consider the...Ch. 1.8 - To answer Exercises 25–32, consider the...Ch. 1.8 - To answer Exercises 2532, consider the following...Ch. 1.8 - To answer Exercises 2532, consider the following...Ch. 1.8 - To answer Exercises 25–32, consider the...Ch. 1.8 - To answer Exercises 2532, consider the following...Ch. 1.8 - To answer Exercises 3340, consider the following...Ch. 1.8 - To answer Exercises 33–40, consider the...Ch. 1.8 - To answer Exercises 33–40, consider the...Ch. 1.8 - To answer Exercises 3340, consider the following...Ch. 1.8 - To answer Exercises 33–40, consider the...Ch. 1.8 - Prob. 38ESCh. 1.8 - Prob. 39ESCh. 1.8 - Prob. 40ESCh. 1.8 - Prob. 41ESCh. 1.8 - Prob. 42ESCh. 1.8 - Prob. 43ESCh. 1.8 - Prob. 44ESCh. 1.8 - Prob. 45ESCh. 1.8 - Prob. 46ESCh. 1.8 - Prob. 47ESCh. 1.8 - Prob. 48ESCh. 1.8 - Prob. 49ESCh. 1.8 - Prob. 50ESCh. 1.8 - Prob. 51ESCh. 1.8 - Prob. 52ESCh. 1.8 - Prob. 53ESCh. 1.8 - Prob. 54ESCh. 1.9 - Objective 1.7b:Find some multiples of a number....Ch. 1.9 - Objective 1.7b:Find some multiples of a number....Ch. 1.9 - Prob. 1DECh. 1.9 - Prob. 2DECh. 1.9 - Prob. 3DECh. 1.9 - Prob. 4DECh. 1.9 - Prob. 5DECh. 1.9 - Prob. 6DECh. 1.9 - Use prime factorizations to find each LCM.
7. GS...Ch. 1.9 - Prob. 8DECh. 1.9 - Prob. 9DECh. 1.9 - Prob. 10DECh. 1.9 - Prob. 11DECh. 1.9 - Prob. 12DECh. 1.9 - Prob. 13DECh. 1.9 - Prob. 1RCCh. 1.9 - Prob. 2RCCh. 1.9 - Prob. 3RCCh. 1.9 - Prob. 4RCCh. 1.9 - Prob. 1ESCh. 1.9 - Prob. 2ESCh. 1.9 - Prob. 3ESCh. 1.9 - Prob. 4ESCh. 1.9 - Prob. 5ESCh. 1.9 - Prob. 6ESCh. 1.9 - Prob. 7ESCh. 1.9 - Prob. 8ESCh. 1.9 - Prob. 9ESCh. 1.9 - Prob. 10ESCh. 1.9 - Prob. 11ESCh. 1.9 - Prob. 12ESCh. 1.9 - Prob. 13ESCh. 1.9 - Prob. 14ESCh. 1.9 - Prob. 15ESCh. 1.9 - Prob. 16ESCh. 1.9 - Prob. 17ESCh. 1.9 - Prob. 18ESCh. 1.9 - Prob. 19ESCh. 1.9 - Prob. 20ESCh. 1.9 - Prob. 21ESCh. 1.9 - Prob. 22ESCh. 1.9 - Prob. 23ESCh. 1.9 - Prob. 24ESCh. 1.9 - Prob. 25ESCh. 1.9 - Prob. 26ESCh. 1.9 - Prob. 27ESCh. 1.9 - Prob. 28ESCh. 1.9 - Prob. 29ESCh. 1.9 - Prob. 30ESCh. 1.9 - Prob. 31ESCh. 1.9 - Prob. 32ESCh. 1.9 - Prob. 33ESCh. 1.9 - Prob. 34ESCh. 1.9 - Prob. 35ESCh. 1.9 - Prob. 36ESCh. 1.9 - Prob. 37ESCh. 1.9 - Prob. 38ESCh. 1.9 - Prob. 39ESCh. 1.9 - Prob. 40ESCh. 1.9 - Prob. 41ESCh. 1.9 - Prob. 42ESCh. 1.9 - Prob. 43ESCh. 1.9 - Prob. 44ESCh. 1.9 - Prob. 45ESCh. 1.9 - Prob. 46ESCh. 1.9 - Prob. 47ESCh. 1.9 - Prob. 48ESCh. 1.9 - Prob. 49ESCh. 1.9 - Prob. 50ESCh. 1.9 - Prob. 51ESCh. 1.9 - Prob. 52ESCh. 1.9 - Prob. 53ESCh. 1.9 - Prob. 54ESCh. 1.9 - Prob. 55ESCh. 1.9 - Prob. 56ESCh. 1.9 - Prob. 57ESCh. 1.9 - Prob. 58ESCh. 1.9 - Prob. 59ESCh. 1.9 - Prob. 60ESCh. 1.9 - Prob. 61ESCh. 1.9 - Prob. 62ESCh. 1.9 - Prob. 64ESCh. 1 - Complete each statement with the correct term from...Ch. 1 - Prob. 2VRCh. 1 - Prob. 3VRCh. 1 - Prob. 4VRCh. 1 - Prob. 5VRCh. 1 - Prob. 6VRCh. 1 - Prob. 7VRCh. 1 - Prob. 1CORCh. 1 - Prob. 2CORCh. 1 - Prob. 3CORCh. 1 - Prob. 4CORCh. 1 - Prob. 5CORCh. 1 - What does the digit 2 mean in 432,079?Ch. 1 - Prob. 2SGPECh. 1 - Prob. 3SGPECh. 1 - Prob. 4SGPECh. 1 - Prob. 5SGPECh. 1 - Prob. 6SGPECh. 1 - Prob. 7SGPECh. 1 - Prob. 8SGPECh. 1 - Prob. 9SGPECh. 1 - Prob. 10SGPECh. 1 - Prob. 11SGPECh. 1 - Prob. 12SGPECh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Multiply. [1.3a]
24.
Ch. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Prob. 58RECh. 1 - Prob. 59RECh. 1 - Prob. 60RECh. 1 - Prob. 61RECh. 1 - Prob. 62RECh. 1 - Prob. 63RECh. 1 - Prob. 64RECh. 1 - Prob. 65RECh. 1 - Prob. 66RECh. 1 - Determine whether each number is prime, composite,...Ch. 1 - Prob. 68RECh. 1 - Prob. 69RECh. 1 - Prob. 70RECh. 1 - Prob. 71RECh. 1 - Prob. 72RECh. 1 - Prob. 73RECh. 1 - Prob. 74RECh. 1 - Prob. 75RECh. 1 - Prob. 76RECh. 1 - To do Exercises 75–82, consider the following...Ch. 1 - Prob. 78RECh. 1 - Prob. 79RECh. 1 - Prob. 80RECh. 1 - Prob. 81RECh. 1 - Prob. 82RECh. 1 - Prob. 83RECh. 1 - Prob. 84RECh. 1 - Prob. 85RECh. 1 - Prob. 86RECh. 1 - Prob. 87RECh. 1 - Prob. 88RECh. 1 - Prob. 89RECh. 1 - Prob. 91RECh. 1 - Prob. 92RECh. 1 - Prob. 1UTDWCh. 1 - Prob. 2UTDWCh. 1 - Prob. 3UTDWCh. 1 - Prob. 4UTDWCh. 1 - 1. In the number 546,789, which digit tells the...Ch. 1 - Prob. 2TCh. 1 - 3. Write a word name: 38,403,277.
Ch. 1 - Add.
4.
Ch. 1 - Add. 45,889+17,902 _Ch. 1 - Prob. 6TCh. 1 - Prob. 7TCh. 1 - Prob. 8TCh. 1 - Prob. 9TCh. 1 - Prob. 10TCh. 1 - Prob. 11TCh. 1 - Prob. 12TCh. 1 - Prob. 13TCh. 1 - Prob. 14TCh. 1 - Prob. 15TCh. 1 - Prob. 16TCh. 1 - Prob. 17TCh. 1 - Prob. 18TCh. 1 - Prob. 19TCh. 1 - Prob. 20TCh. 1 - Prob. 21TCh. 1 - Prob. 22TCh. 1 - Prob. 23TCh. 1 - Prob. 24TCh. 1 - Prob. 25TCh. 1 - Prob. 26TCh. 1 - Prob. 27TCh. 1 - Prob. 28TCh. 1 - Prob. 29TCh. 1 - Prob. 30TCh. 1 - Prob. 31TCh. 1 - Prob. 32TCh. 1 - Prob. 33TCh. 1 - Prob. 34TCh. 1 - Prob. 35TCh. 1 - Prob. 36TCh. 1 - Prob. 37TCh. 1 - Prob. 38TCh. 1 - Prob. 39TCh. 1 - Prob. 40TCh. 1 - Prob. 41TCh. 1 - Prob. 42TCh. 1 - Prob. 43TCh. 1 - Prob. 44TCh. 1 - Prob. 45TCh. 1 - Prob. 46TCh. 1 - Prob. 47TCh. 1 - Prob. 48TCh. 1 - Prob. 49TCh. 1 - Prob. 50TCh. 1 - Prob. 51TCh. 1 - Prob. 52TCh. 1 - Prob. 53TCh. 1 - Prob. 54TCh. 1 - Prob. 55TCh. 1 - Prob. 56T
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