05 addition nd multiplication of real numbers
TRANSCRIPT
Real Number System
Math 11 – College Algebra
Real Number System
Addition Operation
• If a and b are real numbers
a + b
denotes the sum of a and b
Multiplication Operation
• If a and b are real numbers,
a x b
denotes the product of a and b.
Subtraction and Division ???
• If a and b are real numbers,
a – b = d if and only if a = b + d
d denotes the difference of a and b
5 – 2 = 3 because 5 = 3+2
Subtraction and Division ???
• If a and b are real numbers, and b is not equal to 0, then
a ÷ b = q if and only if a = b x q
q denotes the quotient of a and b.
50 ÷ 5 = 10 because 50 = 5 x 10
Why must b not equal to zero?
a ÷ b = q if and only if a = b x q
5 ÷ 0 = q 5 = 0 x q
Division by zero is not defined.