- Error Analysis D e s c r ib e a n d c o r r e c t t h e e r r o r i n d i v id in g t h e f r a c t io n s a t
the rig h t. - Reasoning Y o u c a n d e r iv e th e r u le f o r d iv is io n i n v o l v i n g 0 s h o w n o n p a g e 40.
a. Suppose 0 -e- x = y, w here x ¥= 0. S h o w th a t y = 0. {Hint: I f 0 x = y,
th e n x • y = 0 by the d e fin itio n o f division.)
b. If x # 0, show th a t there is no value o f y such th a t x + 0 = y. {Hint: Suppose
th e re is a va lu e o f y such th a t x -r- 0 = y. W h a t w o u ld t h is i m p l y a b o u t x? )
ft Challenge Determine whether each statement is al ways, somet i mes, or never t r u e. E x p la in
^ your reasoning.
66. T h e p r o d u c t o f a n u m b e r a n d i t s r e c i p r o c a l i s — 1.- The quotient of a nonzero number and its opposite is —1.
- I f th e p r o d u c t o f t w o fr a c t io n s is n e g a tiv e , t h e n t h e i r q u o t i e n t is p o s itiv e.
1 69. Reasoning W h a t is th e g re a te s t in t e g e r n f o r w h ic h ( - n)3 is p o sitive a n d th e va lu e
of the expression has a 2 in th e ones place?
^SAT/ACTSt a n d a r d i ze d Test Pr ep
- W h ic h e x p r e s s io n d o e s N O T h a v e th e s a m e v a lu e as —11 + ( - 1 1 ) + ( - 1 1 )?
CD -33 CD 3(—11) CD (—ll)3 CD 33-66 - M ig u e l m e a s u r e d t h e a re a o f a p ie c e o f c a r p e t a n d f ig u r e d o u t t h a t th e a p p r o x im a t e
e r r o r w a s 3 | — 0. 2 1. W h a t is th e d e c im a l f o r m o f 3 1—0. 2 1?
CD -0.6 CD -0 .0 6 - W h a t is th e p e r im e t e r o f th e t r ia n g le s h o w n?
CD 6 y + 24
CD 21 y + 9
CD 0.06CD 15y+ 15
CD 30yMixed Review
Find each difference.- 46 - 16 74. 34 - 44
See Lesson 1-5.- -3 7 - (-2 7 )
G e t R e a d y! To p r e p a r e f o r Lesso n 1 - 7 , d o Ex er ci ses 7 6 - 7 8.
Name the property that each statement illustrates.- -x + 0 = -x 77. 13(—11) = -1 1 (1 3 ) 78.
^ See Lesson 1-4.
-5 • {m • 8 ) = ( —5 • m ) • 844 Chapter 1 Fo u n d a t i o n s f o r A l g e b r a