96 Chapter 1 The Set of Real Numbers For Exercises 112–118, answer true or false. If a statement is false, explain why. 112. If n is positive, then n is negative. 113. If m is negative, then m4 is negative. 114. If m is negative, then is negative. m 7 0 n 7 0, mn 7 0 115. If and then . p 6 0 q 6 0, pq 6 0 116. If and then . 117. A number and its reciprocal have the same signs. 118. A nonzero number and its opposite have different signs. Section 1.7 For Exercises 119–126, answers may vary. 119. Give an example of the commutative property of addition. 120. Give an example of the associative property of addition. 121. Give an example of the inverse property of addition. 122. Give an example of the identity property of addition. 123. Give an example of the commutative property of multiplication. 124. Give an example of the associative property of multiplication. 125. Give an example of the inverse property of multiplication. m3 126. Give an example of the identity property of multiplication. 127. Explain why 5x 2y is the same as 2y 5x . 128. Explain why 3a 9y is the same as 9y 3a . 129. List the terms of the expression: 3y 10x 12 xy 130. Identify the coefficients for the terms listed in Exercise 129. For Exercises 131–132, simplify by combining like terms. 131. 3a 3b 4b 5a 10 132. 6p 2q 9 13q p 7 For Exercises 133–134, use the distributive property to clear the parentheses. 133. 214z 92 134. 514w 8y 12 For Exercises 135–140, simplify each expression. 135. 136. 137. 2p 1p 5w2 3w 1 2 16q2 q 4 a3q 0.3b 1210.2 0.5b2 138. 139. 140. 53 17y 32 31y 82 4 1 4 4321x 12 13x 82 4 b 61h 3m2 7h 4m 1. Simplify. 2. Add and subtract. 3. Divide. 4 1 12 1 1 3 5 4 5 12 2 3 135 36 4. Subtract. 4 1 4 1 7 8 5. Is 0.315 a rational number or an irrational number? Explain your reasoning. Chapter 1 Test
miller_beginning_intermediate_algebra_4e_ch1_3
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