Unit One

Natural (N)

• {1,2,3,4,......}

• {0,1,2,3,.....}

• {.......-3,-2,-1,0,1,2,3,....}

• √-16

Whole (W)

• {1,2,3,4,.....}

• {.....,-3,-2,-1,0,1,2,3,.....}

• {0,1,2,3,....}

• {-√5, -√2, π, e, 1.835726....,√10,..)

Integers (Z)

• {0,1,2,3,....}

• {1,2,3,4,...}

• {...,-3,-2.5,-1 1/3, 0,0.375,4/3, 0.6667}

• {.....,-3,-2,-1,0,1,2,3,...}

Rational (Q)

• {...,-3,-2.5,-1 1/3, 0, 0.375, 4/3, 1 8/7, 0.3̅, 0.6667}

• {0,1,2,3...}

• {....., -√5, -√2, π, e, 1.835726....., √10,...}

• √-16=4i

Numbers that can be written as p/q, where P & Q E Z

*Repeating decimals & terminating decimals can be written as p/q

Example: -2.5 = -2 1/2 = -5/2

• Natural (N)

• Integers (Z)

• Rational(Q)

• Irrational (I)

Irrational (I)

• {..., -√5, -√2, π, e, 1.835726, √10,...}

• {0,1,2,3,...}

• -√16=4i

• {-3,-2.5, -1 1/3, 0, 0.375, 4/3, 1 8/7, 0.̅3, 0.6667}

Decimals that do not repeat or terminate!

• Irrational (I)

• Rational (Q)

• Integers (Z)

• Imaginary (i)

Imaginary (i)

• {1,2,3,4,...}

• {0,1,2,3,...}

• √-16=4i

• {-√5, -√2, π,e, 1.835726,....√10,...}

Inverse Property

• Addition: a + b = b + a

  Multiplication: a*b=b*a

• Addition: a + (b+c)=(a+b)+c

  Multiplication: a*(b*c)=(a*b)*c

• a*(b+c)=a*b+a*c

• Addition: a+0=a

  Multiplication: a*1=a

• Addition: a + (-a)=0

  Multiplication: a*1/a=1

Commutative Property

• Addition: a + b = b + a

  Multiplication: a*b=b*a

• Addition: a + (b+c)=(a+b)+c

  Multiplication: a*(b*c)=(a*b)*c

• a*(b+c)=a*b+a*c

• Addition: a+0=a

  Multiplication: a*1=a

• Addition: a + (-a)=0

  Multiplication: a*1/a=1