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## Chapter 2 sections 2-3

by: Keturah Hrebicik

18

0

2

# Chapter 2 sections 2-3 MA 201

Marketplace > University of Kentucky > Mathematics (M) > MA 201 > Chapter 2 sections 2 3
Keturah Hrebicik
UK
GPA 2.7

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The material in this file is the remainder of chapter 2.
COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Keturah Hrebicik on Monday February 15, 2016. The Class Notes belongs to MA 201 at University of Kentucky taught by Staff in Winter 2016. Since its upload, it has received 18 views. For similar materials see in Mathematics (M) at University of Kentucky.

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Date Created: 02/15/16
MA 201 Chapter 2 section 2 and 3 Section 2: whole numbers Properties of equality of whole numbers Reflexive properties: for any number A. A=A. This simply means that any number is equal to itself Symmetric property: for any numbers A and B. If A=B then B=A. Transitive property. If A=B and B= C then A=C. Numbers as numerals A number is a concept. A numeral is a way to referring to the numbers. Examples: 5, Roman numerals and tally marks are all versions of numerals. Base 10/decimal number system. Numeral system based on powers of ten. Ones, tens, hundreds, ect. The expanded form a decimal number, is the sum of the product of the digits with the relative power of 10. Examples: 1023= 1(1000)+0(100)+2(10)+3(1) Binary numbers A numeral system based on powers of two and will often be denoted by a subscript at the end of the numeral. Only uses the numbers 0,1 The expanded form of a binary number is the sum of the product of the digits, with relevant power of two. Examples: 1010= 1(8)+0(4)+1(2)+0(1)=8+2=10 1000=1(8)+0(4)+0(2)+0(1)=8 100101=1(32)+0(16)+0(8)+1(4)+0(2)+1(1)=32+4+1=37 1=1(1)=1 Based-B numeral systems. Numeral system based on powers of B will have symbols for digits from 0- B-1 Examples: base 5 number systems use the numbers 0,1,2,3,4. Typically subscript b will be used to indicate we are using base b. Position place value still applies Position Place value 1 Ones 10 B-place 100 B2-place 1000 B3-place Expanded form in base b system is the sum of the product of the value of the digit, with the power of B corresponding to the place value. Examples: 1032 =1(5 )+0(5 )+3(5 )+2(5 )=125+15+2=142 5 Hexadecimal system Base 16 number system Uses the digits 0-9 and A-F Examples: A9= 10(16)+9(1)=169 Convert the following to decimal. 2 1 0 104 51(5 )+0(5 )+4(5 )=25+4=29 3 2 1 0 1106 =8(8 )+1(8 )+0(8 )+6(8 )=512+64+6=582 AB =10(13 )+11(13 )=130+11=143 13 10 72(72 )+0(72 )=720

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