Algebra Know-It-ALL

Question 2-2 What’s the difference, if any, between the following sets? A= {x,y,z} B= {z,y,x} C= {y,z,x} D= {x,y,z,y,x} E= {y,x, ...

146 Review Questions and Answers Question 2-5 What does the hatched region in Fig. 10-1 represent? Answer 2-5 It portrays the se ...

Question 2-10 How can we describe the relationship between the following sets? How would we write it in symbolic form? A= {4, 5, ...

148 Review Questions and Answers 2 = {0, 1} = {∅, {∅}} 3 = {0, 1, 2} = {∅, {∅}, {∅, {∅}}} 4 = {0, 1, 2, 3} = {∅, {∅}, {∅, {∅}}, ...

Question 3-7 In the set N, what is a perfect square? Can any perfect square be prime? Answer 3-7 A perfect square is the result ...

150 Review Questions and Answers the primes smaller than s that divide n without leaving a remainder, we have found the prime fa ...

Question 4-3 Suppose we have two integers c and d. How can we define c−d on a vertical number line where values increase as we m ...

152 Review Questions and Answers The associative law says that we can group a sum of three integers in a certain order by twos e ...

Question 4-10 Suppose a,b, and c are integers and we see the expression a−b+c without any parentheses in it. Can we use parenthe ...

154 Review Questions and Answers Question 5-4 Suppose a mathematician says, “The operations of addition, subtraction, and multip ...

The product should be found first, and then the ratio. Then the subtraction should be changed to negative addition, and finally ...

156 Review Questions and Answers Question 5-9 Does the commutative law for multiplication apply to products of more than two int ...

Part One 157 (c) The quotient is 9 with a remainder of 1 (out of 2). This is 9-1/2. (d) The quotient is −3 with a remainder of − ...

158 Review Questions and Answers Question 6-5 On the number line of Fig. 10-3, suppose a through e all represent ratios of integ ...

Part One 159 Question 6-7 How can we quickly subtract a fraction p/q from a fraction m/n, where m and p are integers, andn and q ...

160 Review Questions and Answers Chapter 7 Question 7-1 What does it mean to raise a number to the power of 2? To the power of 3 ...

Part One 161 Here’s an example of an endless repeating decimal: 43/99= 0.43434343... Here, the digit sequence 43 repeats forever ...

162 Review Questions and Answers Answer 7-7 A calculator can be used for this purpose, but it must be able to display a lot of d ...

Part One 163 To make the original number an order of magnitude smaller, we divide by 10. That can be done by moving the decimal ...

164 Review Questions and Answers Question 8-2 When we see a complicated expression raised to negative integer power, what must w ...