Classifying Numbers Properties Number Sets l l l
Classifying Numbers Properties
Number Sets l l l Natural Numbers: 1, 2, 3, … Whole Numbers: 0, 1, 2, 3, … Integers: …-3, -2, -1, 0, 1, 2, 3, … Rational Numbers: where p and q are integers and q≠ 0 Irrational Numbers: non-terminating and non-repeating Real Numbers: all rational and irrational
These are rational: l 5 l l -3. 45 2. 333… l l
These are irrational l 3. 4644644446… l l
The number sets do overlap…. Real Numbers Rational Integer Whole Natural Irrational
Classify each number in as many ways as possible. l 0. 1212212222… l 56 l -7 l
Classify each number in as many ways as possible. l l l 0 23. 0 -2. 2
Activity l You are to place the numbers in your bag in the appropriate place on the Venn Diagram.
Properties of Addition & Multiplication: For all real #’s, a, b, c… l Closure: then a+b is a real number ab is a real number l l Commutative: a + b = b + a ab = ba Associative: (a+b)+c = a+(b+c) (ab)c = a(bc) Identity: a + 0 = 0 + a = a a*1 = 1*a = a Inverse: a + (-a) = 0
Distributive Property For all real numbers a, b, and c: a(b + c) = ab + ac and (b + c)a = ba + bc)
State a property to justify the following statements… l l l l 6 +(-3) = (-3) + 6 2(4 – 5) = (4 - 5)2 3(4 a+5) = 12 a + 15 -5 + (x + 2) = (-5 + x) + 2 (x+3) + 6 = 6 + (x+ 3) 4 ( 1) = 4 -5 + 5 = 0
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation? + 5 5 0 0
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation?
What type of number do I get when I perform the following operation? X 5 5 0 0
Homework l Worksheet
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