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PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 1.3, Problem 1.66TI
TRY IT:: 1.66 Subtraction and then click by adding:
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You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
Plane II is spanned by the vectors:
- (2) · P² - (4)
P1=2
P21
3
Subspace W is spanned by the vectors:
2
W1
- (9) ·
1
W2
1
= (³)
Chapter 1 Solutions
PREALGEBRA
Ch. 1.1 - TRY IT:: 1 .1 Which of the following are (a)...Ch. 1.1 - TRY IT:: 1.2 Which of the following are (a)...Ch. 1.1 - TRY IT:: 1.3 Use place value notation to find the...Ch. 1.1 - TRY IT:: 14 Use place value notation to find the...Ch. 1.1 - TRY IT:: 15 For each number, find the place value...Ch. 1.1 - TRY IT::16 For each number, find the place value...Ch. 1.1 - TRY IT::17 Name each number in words:...Ch. 1.1 - TRY IT::18 Name each number in words:...Ch. 1.1 - TRY IT::19 The population in a country is...Ch. 1.1 - TRY IT:: 110 One year is 31,536,000 seconds. Name...
Ch. 1.1 - TRY IT::111 Write each number in standard form:...Ch. 1.1 - TRY IT:: 112 Write each number in standard form:...Ch. 1.1 - TRY IT:: 113 Write each number in standard form:...Ch. 1.1 - TRY IT:: 114 Write each number in standard form:...Ch. 1.1 - TRY IT:: 115 Round to the nearest ten:157.Ch. 1.1 - TRY IT:: 116 Round to the nearest ten: 884.Ch. 1.1 - TRY IT:: 117 Round to the nearest hundred: 17,852.Ch. 1.1 - TRY IT:: 118 Round to the hundred: 4,951.Ch. 1.1 - TRY IT:: 119 Round the nearest thousand: 63,921Ch. 1.1 - TRY IT:: 120 Round to the nearest thousand:...Ch. 1.1 - In the following exercises, determine which of the...Ch. 1.1 - sIn the following exercises, determine which of...Ch. 1.1 - In the following exercises, determine which of the...Ch. 1.1 - In the folllowing exercises, determine which of...Ch. 1.1 - In the following exercises, use place value...Ch. 1.1 - In the following exercises, use place value...Ch. 1.1 - In the following exercises, use place value...Ch. 1.1 - In the following exercises, use place value...Ch. 1.1 - In the following exercises, find the place value...Ch. 1.1 - In the following exercises, find the place value...Ch. 1.1 - In the following exercises, find the place value...Ch. 1.1 - In the following exercises, find the place value...Ch. 1.1 - In the following exercises, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, name each number in...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercise, write each number as a...Ch. 1.1 - In the following exercises, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - In the following exercise, round to the indicated...Ch. 1.1 - Writing a Check Jorge bought a car for $24,493. He...Ch. 1.1 - Writing a Check Marissas kitchen remodeling cost...Ch. 1.1 - Buying a Car Jorge bought a car for $ 24,493....Ch. 1.1 - Remodeling a Kitchen Marissa’s kitchen remodeling...Ch. 1.1 - Population the population of china was...Ch. 1.1 - Astronomy the average distance between Earth and...Ch. 1.1 - In your own words, explain the difference between...Ch. 1.1 - Give an example from your everyday life where it...Ch. 1.2 - TRY IT:: 121 Translate from math notation to...Ch. 1.2 - TRY IT:: 122 Translate from math notation to...Ch. 1.2 - TRY IT:: 123 Model: 3+6.Ch. 1.2 - TRY IT:: 124 Model: 5+4.Ch. 1.2 - TRY IT:: 125 Model the addition: 5+7Ch. 1.2 - TRY IT:: 126 Model the addition: 6+8.Ch. 1.2 - TRY IT:: 127 Model each addition: 15+27Ch. 1.2 - TRY IT:: 128 Model each addition: 16+29.Ch. 1.2 - TRY IT:: 129 Find each sum: (a) 0+19 (b) 39+0Ch. 1.2 - TRY IT:: 130 Find each sum: (a) 0+24 (b) 57+0Ch. 1.2 - TRY IT:: 131 Add 9+7 and 7+9.Ch. 1.2 - TRY IT:: 132 Add: 80+6 and 6+8.Ch. 1.2 - TRY IT:: 133 Add: 32+54.Ch. 1.2 - TRY IT:: 134 Add: 25+74.Ch. 1.2 - TRY IT:: 135 Add 35+98.Ch. 1.2 - TRY IT:: 136 Add: 72+89.Ch. 1.2 - TRY IT:: 137 Add: 456+376.Ch. 1.2 - TRY IT:: 138 Add: 269+578Ch. 1.2 - TRY IT:: 139 Add: 4,597+685.Ch. 1.2 - TRY IT::140 Add: 5,837+695.Ch. 1.2 - TRY IT:: 141 Add: 46,195+397+6281.Ch. 1.2 - TRY IT:: 142 Add: 53,762+196+7,458.Ch. 1.2 - TRY IT:: 143 Translate simplify: the sum of 17 and...Ch. 1.2 - TRY IT:: 144 Translate and simplify: the sum of 28...Ch. 1.2 - TRY IT:: 145 Translate and simplify: 29 increased...Ch. 1.2 - TRY IT:: 146 Translate and simplify: 37 increased...Ch. 1.2 - TRY IT:: 147 Mark is training bicycle race. Last...Ch. 1.2 - TRY IT:: 148 Lincoln Middle school has three...Ch. 1.2 - TRY IT:: 149 Find the perimeter of each figure....Ch. 1.2 - TRY IT:: 150 Find the perimeter of each figure....Ch. 1.2 - In the following exercises, translate the...Ch. 1.2 - In the following exercises, translate the...Ch. 1.2 - In the following exercises, translate the...Ch. 1.2 - In the following exercises, translate the...Ch. 1.2 - In the following exercises, translate the...Ch. 1.2 - In the following exercises, translate the...Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, model the addition....Ch. 1.2 - In the following exercises, fill in the missing...Ch. 1.2 - In the following exercises, fill in the missing...Ch. 1.2 - In the following exercises, fill in the missing...Ch. 1.2 - In the following exercises, fill in the missing...Ch. 1.2 - In the following exercises, fill in the missing...Ch. 1.2 - In the following exercises, fill in the missing...Ch. 1.2 - In the following exercises, add. (a) 0+13 (b)13+0Ch. 1.2 - In the following exercises, add. (a) 0+5,280 (b)...Ch. 1.2 - In the following exercises, add. (a) 8+3(b) 3+8Ch. 1.2 - In the following exercises, add. (a) 7+5(b) 5+7Ch. 1.2 - In the following exercises, add. 45+33Ch. 1.2 - In the following exercises, add. 37+22Ch. 1.2 - In the following exercises, add. 71+28Ch. 1.2 - In the following exercises, add. 43+53Ch. 1.2 - In the following exercises, add. 26+59Ch. 1.2 - In the following exercises, add. 38+17Ch. 1.2 - In the following exercises, add. 64+78Ch. 1.2 - In the following exercises, add. 92+39Ch. 1.2 - In the following exercises, add. 168+225Ch. 1.2 - In the following exercises, add. 247+149Ch. 1.2 - In the following exercises, add. 584+277Ch. 1.2 - In the following exercises, add. 175+648Ch. 1.2 - In the following exercises, add. 832+199Ch. 1.2 - In the following exercises, add. 775+369Ch. 1.2 - In the following exercises, add. 6,358+492Ch. 1.2 - In the following exercises, add. 9,184+578Ch. 1.2 - In the following exercises, add. 3,740+18,593Ch. 1.2 - In the following exercises, add. 6,118+15,990Ch. 1.2 - In the following exercises, add. 485,012+619,848Ch. 1.2 - In the following exercises, add. 368,911+857,289Ch. 1.2 - In the following exercises, add. 24,731+592+3,868Ch. 1.2 - In the following exercises, add. 28,925+817+4,593Ch. 1.2 - In the following exercises, add....Ch. 1.2 - In the following exercises, add....Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, translate each phrase...Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, solve the problem....Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - In the following exercises, find the perimeter of...Ch. 1.2 - Calories Paulette had a grilled chicken salad,...Ch. 1.2 - Calories Fred had a grilled chicken sandwich, a...Ch. 1.2 - Test scores a student’s needs a total of 400...Ch. 1.2 - Elevators the maximum weight capacity of an...Ch. 1.2 - How confident do you feel about your knowledge of...Ch. 1.2 - How have you used models to help you learn the...Ch. 1.3 - TRY IT :: 1.51 Translate from math notation to...Ch. 1.3 - TRY IT:: 1.52 Translate from math notation to...Ch. 1.3 - TRY IT:: 1.53 Model: 96Ch. 1.3 - TRY IT:: 1.54 Model: 61Ch. 1.3 - TRY IT:: 1.55 Model the subtraction: 127Ch. 1.3 - TRY IT:: 1.56 Model the subtraction: 148.Ch. 1.3 - TRY IT:: 1.57 Model the subtraction: 4227.Ch. 1.3 - TRY IT:: 1.58 Model the subtraction: 4529.Ch. 1.3 - TRY IT:: 1.59 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.60 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.61 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.62 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.63 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.64 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.65 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.66 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.67 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.68 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.69 Subtraction and then click by...Ch. 1.3 - TRY IT:: 1.70 Subtraction and then click by...Ch. 1.3 - TRY IT:: 171 Translate and simplify: the...Ch. 1.3 - TRY IT:: 172 Translate and simplify: 11decreased...Ch. 1.3 - TRY IT:: 1.73 The high temperature on June 1stg in...Ch. 1.3 - TRY IT :: 174 The weather forecast for June 2 in...Ch. 1.3 - TRY IT:: 175 A television set is on sale for $499....Ch. 1.3 - TRY IT:: 1.76 A patio set is on sale for $149. Its...Ch. 1.3 - In the following exercises, translate from math...Ch. 1.3 - In the following exercises, translate from math...Ch. 1.3 - In the following exercises, translate from math...Ch. 1.3 - In the following exercises, translate from math...Ch. 1.3 - In the following exercises, translate from math...Ch. 1.3 - In the following exercises, translate from math...Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, model the subtraction....Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, subtract and then...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, simplify. 7647Ch. 1.3 - In the following exercises, simplify. 9153Ch. 1.3 - In the following exercises, simplify. 256184Ch. 1.3 - In the following exercises, simplify. 305262Ch. 1.3 - In the following exercises, simplify. 719+341Ch. 1.3 - In the following exercises, simplify. 647+528Ch. 1.3 - In the following exercises, simplify. 2,0151,993Ch. 1.3 - In the following exercises, simplify. 2.0201,984Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, translate and...Ch. 1.3 - In the following exercises, solve. Temperature The...Ch. 1.3 - In the following exercises, solve. Temperature The...Ch. 1.3 - In the following exercises, solve. 215. Class size...Ch. 1.3 - In the following exercises, solve. 216. Class size...Ch. 1.3 - In the following exercises, solve. 217. Shopping A...Ch. 1.3 - In the following exercises, solve. 218. Shopping A...Ch. 1.3 - In the following exercises, solve. 219. Savings...Ch. 1.3 - In the following exercises, solve. 220. Banking...Ch. 1.3 - Road trip Noah was driving from Philadelphia to...Ch. 1.3 - Test Scores Sara needs 350points to pass her...Ch. 1.3 - Explain how subtraction and addition are related.Ch. 1.3 - How does knowing addition facts help you to...Ch. 1.4 - TRY IT :: 1.77 Translate from math notation to...Ch. 1.4 - TRY IT :: 1.78 Translate from math notation to...Ch. 1.4 - TRY IT:: 1.79 Model each multiplication: 46.Ch. 1.4 - TRY IT:: 1.80 Model each multiplication: 57.Ch. 1.4 - TRY IT:: 1.81 Find each product: 019 (39)0Ch. 1.4 - TRY IT:: 1.82 Find each product : (a) 0.24...Ch. 1.4 - TRY IT: : 1.83 Find each product : (19)1 139Ch. 1.4 - TRY IT :: 1.84 Find each product: (24)(1) 157Ch. 1.4 - TRY IT :: 1.85 Multiply : 96 (b) 69Ch. 1.4 - TRY IT :: 1.86 Multiply : 86 (b) 68Ch. 1.4 - TRY IT :: 1.87 Multiply : 648Ch. 1.4 - TRY IT :: 1.88 Multiply : 576Ch. 1.4 - TRY IT :: 1.89 Multiply : 3475Ch. 1.4 - TRY IT :: 1.90 Multiply : 4627Ch. 1.4 - TRY IT :: 1.91 Multiply : 43(78)Ch. 1.4 - TRY IT:: 1.92 Multiply : 64(59)Ch. 1.4 - TRY IT:: 1.93 Multiply : (a) 5410 (b) 54100Ch. 1.4 - TRY IT:: 1.94 Multiply : (a) 7510 (b) 75100Ch. 1.4 - TRY IT:: 1.95 Multiply : (265)(483)Ch. 1.4 - TRY IT:: 1.96 Multiply : (823)(794).Ch. 1.4 - TRY IT:: 197Multiply: (718)509.Ch. 1.4 - TRY IT:: 1.98 Multiply: (627)804.Ch. 1.4 - TRY IT:: 1.99 Translate and simplify the product...Ch. 1.4 - TRY IT:: 1.100 Translate and simplify the product...Ch. 1.4 - TRY IT:: 1.101 Translate and simplify twice one...Ch. 1.4 - TRY IT:: 1.102 Translate and simplify twice two...Ch. 1.4 - TRY IT:: 1.103 Valia donated water for the snack...Ch. 1.4 - TRY IT :: 1.104 Vanessa bought 8packs of hot dogs...Ch. 1.4 - TRY IT:: 1.106 Erin is planning her flower garden....Ch. 1.4 - TRY IT:: 1.106 A college choir has twice as many...Ch. 1.4 - TRY IT:: 1.107 Jane is tiling her living room...Ch. 1.4 - TRY IT:: 1.108 Yousef is putting shingles on his...Ch. 1.4 - TRY IT:: 1.109 Zoila bought a rectangular rug. The...Ch. 1.4 - TRY IT :: 1.110 Rene’s driveway is a rectangle...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, translate from math...Ch. 1.4 - In the following exercises, model the...Ch. 1.4 - In the following exercises, model the...Ch. 1.4 - In the following exercises, model the...Ch. 1.4 - In the following exercises, model the...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, fill in the missing...Ch. 1.4 - In the following exercises, multiply. 015Ch. 1.4 - In the following exercises, multiply. 041Ch. 1.4 - In the following exercises, multiply. (99)0Ch. 1.4 - In the following exercises, multiply. (77)0Ch. 1.4 - In the following exercises, multiply. 143Ch. 1.4 - the following exercises, multiply. 134Ch. 1.4 - In the following exercises, multiply. (28)1Ch. 1.4 - the following exercises, multiply. (65)1Ch. 1.4 - In the following exercises, multiply. 1(240,055)Ch. 1.4 - In the following exercises, multiply. 1(189,206)Ch. 1.4 - In the following exercises, multiply. (a) 76 (b)...Ch. 1.4 - In the following exercises, multiply. (a) 89 (b)...Ch. 1.4 - In the following exercises, multiply. (79)(5)Ch. 1.4 - In the following exercises, multiply. (58)(4)Ch. 1.4 - In the following exercises, multiply. 3 2756Ch. 1.4 - In the following exercises, multiply. 6385Ch. 1.4 - In the following exercises, multiply. 3,4217Ch. 1.4 - In the following exercises, multiply. 9,1433Ch. 1.4 - In the following exercises, multiply. 52(38)Ch. 1.4 - In the following exercises, multiply. 37(45)Ch. 1.4 - In the following exercises, multiply. 9673Ch. 1.4 - In the following exercises, multiply. 8956Ch. 1.4 - In the following exercises, multiply. 2785Ch. 1.4 - In the following exercises, multiply. 5398Ch. 1.4 - In the following exercises, multiply. 2310Ch. 1.4 - In the following exercises, multiply. 1910Ch. 1.4 - In the following exercises, multiply. (100)(36)Ch. 1.4 - In the following exercises, multiply. (100)(25)Ch. 1.4 - In the following exercises, multiply. 1,000(88)Ch. 1.4 - In the following exercises, multiply. 1,000(46)Ch. 1.4 - In the following exercises, multiply. 501,000,000Ch. 1.4 - In the following exercises, multiply. 301,000,000Ch. 1.4 - In the following exercises, multiply. 247139Ch. 1.4 - In the following exercises, multiply. 156328Ch. 1.4 - In the following exercises, multiply. 586(721)Ch. 1.4 - In the following exercises, multiply. 472(855)Ch. 1.4 - In the following exercises, multiply. 915879Ch. 1.4 - In the following exercises, multiply. 968926Ch. 1.4 - In the following exercises, multiply. (104)(256)Ch. 1.4 - In the following exercises, multiply. (103)(497)Ch. 1.4 - In the following exercises, multiply. 348(705)Ch. 1.4 - In the following exercises, multiply. 485(602)Ch. 1.4 - In the following exercises, multiply. 2,719543Ch. 1.4 - In the following exercises, multiply. 3,581724Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, translate and...Ch. 1.4 - In the following exercises, simplify. 3837Ch. 1.4 - In the following exercises, simplify. 8629Ch. 1.4 - the following exercises, simplify. 415267Ch. 1.4 - In the following exercises, simplify. 341285Ch. 1.4 - In the following exercises, simplify. 6,251+4,749Ch. 1.4 - In the following exercises, simplify. 3,816+8,184Ch. 1.4 - In the following exercises, simplify. 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