Arithmetic Course/Types of Number/Integer Number

From Wikibooks, open books for an open world
Jump to: navigation, search

Integer Number[edit]

Integer number is a set of Positive Integer , 0 and Negative Integer

  1. Positive Integer . +N > 0 = {+1,+2,+3,+4,+5,+6,+7,+8,+9}
  2. Negative Integer . -N < 0 = {-1,-2,-3,-4,-5,-6,-7,-8,-9}
  3. Zero . N = 0

Properties[edit]

  1. a + b = b + a
  2. a + b + c = (a + b) + c = a + (b + c)

Mathematic Operations[edit]

Integer Addition[edit]

  1. a + 0 = a
  2. a + a = 2a
  3. a + (-a) = 0

Integer Subtraction[edit]

  1. a - 0 = a
  2. a - a = 0
  3. a - (-a) = 2a

Integer Multiplication[edit]

  1. a x 0 = 0
  2. a x a = a2
  3. a x (-a) = -a2

Intger Division[edit]

  1. a / 0 = 00
  2. a / a = 1
  3. a / (-a) = -1

Multiple of Integer[edit]

a + a + a + .... = na
  1. na + ma = an[1 + a^(m-n)]
  2. na - ma = an[1 - a^(m-n)]
  3. na x ma = (nm) a
  4. na / ma = (n/m) a

Power of Integer[edit]

a x a x a x .... = a2

Root of Integer[edit]

There exist then \sqrt{b} = a

Log of Integer[edit]

There exist then Loga b = c

  1. then Log 10a = c
  2. then Lna = c