SECTION 2.7 DIVISION OF REAL NUMBERS Objectives: Divide real numbers Use division to simplify algebraic expressions

Suppose you owe your brother $50. You need to find out how much to pay him each month if he wants you to pay if off in 4 equal monthly payments. For every real number other than zero there exists a number called its RECIPROCAL: if is a nonzero number, then its reciprocal is. The product of a number and its reciprocal is 1. Because zero does not have a reciprocal, you cannot divide by zero. This property is sometimes referred to as the inverse property of multiplication

Division Rule To divide a number a by a nonzero number b, multiply a by the reciprocal of b. The quotient of two numbers with the same sign is positive The quotient of two numbers with opposite signs is negative EX 1: Find the quotient a) b)c)

EX 2: Simplify the expression a) b) c) d) EX 3: Evaluate the expression for the given value(s) of the variable(s)

When a function is defined by an equation, its domain is restricted to real numbers for which the function can be evaluated. Division by zero is undefined, so input values that make you divide by zero must be excluded from the domain. EX 4: Find the domain of the function a) b) EX 5: You owe 18 shares of stock in a computer company. The total value of the shares changes by -$3.06. By how much does the value of each share of stock change?

P – 45X3, 22, 45; 48 – 64 EVENS, 75 – 99X3