Section%201.1

# Section 1.1 - r 7{QBJOLWOCKI MA 180 Precalcuius Professor Terry Section 1.1 Real Numbers C ‘ ‘ D q A l 6 t 6 Counting Numbers C(O r M CLAW"

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: / r 7 {QBJOLWOCKI} MA 180 - Precalcuius . _ Professor Terry Section 1.1: Real Numbers C ‘ ‘ D ' q ' A - l 6 t 6 Counting Numbers C (O r M CLAW" a} ti a") e K LP i | I (as) ' V‘ ‘ g t (3 | IT 1 l ( L l l r Whole Numbers . Oil.'3\l;5,‘-'{,ql(pl’7) Eer‘Q Integers _ ‘HS Hm ‘E'ﬁi—Qlol [012]?)th “631% Equality Q, 2 2 N04- Oci' [0 waq’o Eﬁlkaj PrimeNumbers lOthi {‘LSeIQJe. Q‘slafi' ill isn’t. 14' 25,3993“ 3‘1, Fundamental Theorem of Arithmetic: Every positive integer different from 1 can be expressed as a product of primes in one and only one way (except for order of factors). 12=atav3 13:31:33 0‘ I 252: Z r 330: Erma :2 i9 c - 31;) 3E 0i 5 / \ I e ------ mm— ; it? 931.9.“ Rational Numbers CL 3 _ . * "E; (1 arms; b cliff {VN'L€3'CEV:=FOJ 9W3 3% ) s‘n 515%.ﬁ "4 AMLM w" Irrational Numbers I I 7 I Géjﬂv m“ "‘1 avg a S a.@)\@~ law forms if.) BO ﬂog—M @DO MO'C Ffﬁlag. Z em - 0L? O '2 O QM \i/V/ZA/Lj \FcaQ :ii an 2 {mo g «2% V0 j '73 g (3 &a [9:20 met/W (EL—7% O 05. 1be: O 7 MA180 Sec1.1 SpringO4 ewt Real Numbers - Summary” . — - D“. n [KLEC m L0. in Oi ‘5 (ﬂu/M7310 as M umber; » N I ' MAP 0 M We _p'—____ . F: Pro ertles of Real Numbers 0&0 CR Commutative Property ‘ Addition: ~91 -+ b "2 b-i Q, Multiplication: ﬂ. a b '2 be CL Examples: Q‘i 3) = 5% Q %X \e.‘ Cg), 3 : 3. Q 5 '2 E ’5 Co Associative Property Addition: (our 503+ C, 2 GL-eaﬁ. C) Multiplication: @ = t C 2 a a @ 0C) Eﬂgs:(&4g)jt‘( : g++Ci+LB gag‘g", 2 3(3qu N 9 : Li 2 Q ((7, 61 ‘ 0| a q 2 Q H ) Distributive Property \$03 1 (EU) ‘i’ (1C, Example: 62 ( '3 —6 r,{\ *2 Q 13+ Q . u[ or C “(A z (9 ~t \$3 ltl MA180 Sec1.1 SpringOA ewt Inequalities: > is g’rggﬁﬂg than 2 “ ﬁreﬂy W G’ﬁmﬂb < is 665 than ' f; ” lees ‘l’han w Qéquto” Insert a >, <, or = to make the resulting statement true. "3 > ‘5 <TWTW> g 4‘ 0.8 o.‘7s53'~?9165qud 0% 239 :3 17 l "l 2 l“1 % 4 0.143 4 0J4?) 2 > 0833 \f' O.%33 6 . ‘5 > M hematm. ‘>~ lkf Express each statement as an inequality. ' bed”) b is positive pis not greater than —2 ‘2? 5: "‘ 0:) Continued inequalities a < b '< c . 1 I a 4 l H b t een — d —. C, 4 Absolute value | 3 1 = 3 l-3 I = 3 Rewrite the number withOut using the absolute value symbol and simplify the result. 16|-|-3|_= 0—3 '2 E3] i: 2 I—2l [a MA180 Sect.1 Springﬂ4 ewt Distance —' A ’ The numbers —6, -2, and 4 are the coordinates of points A, B, and C on a coordinate line. Find t e distances. ‘3- (1’ \$9.24.: d(A,B) 2 lib—Al = hag-(magi z l*9*k0(=“‘ilzm d(B,C) '2 [CL—55‘ 2 \kln(—&)\ Z \Lt+;1\=\(p\1@ d(C,B) 2 H3"Ct 2 ‘ﬂanqk Q {nbl 2E d(A,C) "6 \C- 14\=’~ \q”('03\ 2 lq—W‘ 2 hot 2E The two given numbers are coordinates of points A and B, respectively, on a coordinate line. Express the indicated statement as an inequality involving the absolute value symbol. olCAIED>l x, -\/E d(A,B) is greater than 1 A: x Beeﬁ Scientiﬁc Notation n CL >< _ lO l 4' Q 4 IO Express the number in decimal form: ,_. , s W, _____7_, 2 t 2 l? 30, aoo £qu mus/i expo View}. “a” i 2.9me 0 o 00,; Euation This Section Os 000 00 oo 5] d(A’B)=|B_AI Express the number in scientific form: F Ca 0.0000955 == 5 . 6 x IO 7 MA1803ec1.1SpringO4ewt r > SM is“: /" (@3059qu {1&me ...
View Full Document

## This note was uploaded on 04/25/2008 for the course MATH 30191 taught by Professor Terry during the Spring '08 term at Montgomery.

### Page1 / 4

Section 1.1 - r 7{QBJOLWOCKI MA 180 Precalcuius Professor Terry Section 1.1 Real Numbers C ‘ ‘ D q A l 6 t 6 Counting Numbers C(O r M CLAW"

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online