Hammond Prospectus text2

Dan Sloughter

Description

• cours - matière : music
• exposé
• cours - matière potentielle : with a difference

S C H O O L P R O S P E C T U S A SENSE OF HISTORY The Hammond School's enviable position in the world of education and performing arts is based on sound foundations laid at the beginning of the twentieth century when in 1917 Irene Hammond took over a small dance school in Chester. Through her dynamic and inspirational leadership, the school soon gained international respect. In 1946 Betty Hassall, a dedicated and much-loved teacher, became Principal and continued to develop the school, introducing the education department.

• hammond theatre arts
• academic education with the option of vocational training as the school
• many opportunities to pupils
• school with a difference
• extensive range of instruments
• department
• young people
• life
• school
• students

Sujets

• Exposé
• Dangerfield
• Hammond
• Charitable organization
• Hassall
• Hammond School

Informations

• Publié par: viol0
• Nombre de lectures: 37

Extrait

Numbers, Numerals, and Computations
Mathematics 15: Lecture 3
Dan Sloughter
Furman University
September 15, 2006
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 1 / 9I Egyptian symbols (page 445): ∩∩∩|| = 32
I Greek symbols (page 446)
I Roman numerals (page 448)
Denoting numbers
I Babylonian symbols (page 444)
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 2 / 9I Greek symbols (page 446)
I Roman numerals (page 448)
Denoting numbers
I Babylonian symbols (page 444)
I Egyptian symbols (page 445): ∩∩∩|| = 32
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 2 / 9I Roman numerals (page 448)
Denoting numbers
I Babylonian symbols (page 444)
I Egyptian symbols (page 445): ∩∩∩|| = 32
I Greek symbols (page 446)
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 2 / 9Denoting numbers
I Babylonian symbols (page 444)
I Egyptian symbols (page 445): ∩∩∩|| = 32
I Greek symbols (page 446)
I Roman numerals (page 448)
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 2 / 9I The Babylonians developed a sexagesimal, that is, base 60, positional
system (unlike our decimal, that is, base 10, system).
I Example: In our decimal system, writing 278 is shorthand for
2 1 02×10 +7×10 +8×10 = 200+70+8,
0remembering that 10 = 1.
I Example: In a base 2 positional system, 10011 represents the base 10
number
4 3 2 1 01×2 +0×2 +0×2 +1×2 +1×2 = 16+0+0+2+1 = 19.
I Example: To represent numbers in base 12 we would have to
introduce new digits, say A for 10 and B for 11. Then the base 12
number AB8 would represent the base 10 number
2 1 010×12 +11×12 +8×12 = 1440+132+8 = 1580.
Positional systems
I The Egyptian, Greek, and Roman systems are not positional systems.
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 3 / 9I Example: In our decimal system, writing 278 is shorthand for
2 1 02×10 +7×10 +8×10 = 200+70+8,
0remembering that 10 = 1.
I Example: In a base 2 positional system, 10011 represents the base 10
number
4 3 2 1 01×2 +0×2 +0×2 +1×2 +1×2 = 16+0+0+2+1 = 19.
I Example: To represent numbers in base 12 we would have to
introduce new digits, say A for 10 and B for 11. Then the base 12
number AB8 would represent the base 10 number
2 1 010×12 +11×12 +8×12 = 1440+132+8 = 1580.
Positional systems
I The Egyptian, Greek, and Roman systems are not positional systems.
I The Babylonians developed a sexagesimal, that is, base 60, positional
system (unlike our decimal, that is, base 10, system).
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 3 / 9I Example: In a base 2 positional system, 10011 represents the base 10
number
4 3 2 1 01×2 +0×2 +0×2 +1×2 +1×2 = 16+0+0+2+1 = 19.
I Example: To represent numbers in base 12 we would have to
introduce new digits, say A for 10 and B for 11. Then the base 12
number AB8 would represent the base 10 number
2 1 010×12 +11×12 +8×12 = 1440+132+8 = 1580.
Positional systems
I The Egyptian, Greek, and Roman systems are not positional systems.
I The Babylonians developed a sexagesimal, that is, base 60, positional
system (unlike our decimal, that is, base 10, system).
I Example: In our decimal system, writing 278 is shorthand for
2 1 02×10 +7×10 +8×10 = 200+70+8,
0remembering that 10 = 1.
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 3 / 9I Example: To represent numbers in base 12 we would have to
introduce new digits, say A for 10 and B for 11. Then the base 12
number AB8 would represent the base 10 number
2 1 010×12 +11×12 +8×12 = 1440+132+8 = 1580.
Positional systems
I The Egyptian, Greek, and Roman systems are not positional systems.
I The Babylonians developed a sexagesimal, that is, base 60, positional
system (unlike our decimal, that is, base 10, system).
I Example: In our decimal system, writing 278 is shorthand for
2 1 02×10 +7×10 +8×10 = 200+70+8,
0remembering that 10 = 1.
I Example: In a base 2 positional system, 10011 represents the base 10
number
4 3 2 1 01×2 +0×2 +0×2 +1×2 +1×2 = 16+0+0+2+1 = 19.
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 3 / 9Positional systems
I The Egyptian, Greek, and Roman systems are not positional systems.
I The Babylonians developed a sexagesimal, that is, base 60, positional
system (unlike our decimal, that is, base 10, system).
I Example: In our decimal system, writing 278 is shorthand for
2 1 02×10 +7×10 +8×10 = 200+70+8,
0remembering that 10 = 1.
I Example: In a base 2 positional system, 10011 represents the base 10
number
4 3 2 1 01×2 +0×2 +0×2 +1×2 +1×2 = 16+0+0+2+1 = 19.
I Example: To represent numbers in base 12 we would have to
introduce new digits, say A for 10 and B for 11. Then the base 12
number AB8 would represent the base 10 number
2 1 010×12 +11×12 +8×12 = 1440+132+8 = 1580.
Dan Sloughter (Furman University) Numbers, Numerals, and Computations September 15, 2006 3 / 9