Presentation on theme: "GOAL 1 DIVIDING REAL NUMBERS 2.7 Division of Real Numbers VOCABULARY reciprocal Since we use reciprocals when dividing, you must be able to write the reciprocal."— Presentation transcript:
GOAL 1 DIVIDING REAL NUMBERS 2.7 Division of Real Numbers VOCABULARY reciprocal Since we use reciprocals when dividing, you must be able to write the reciprocal of a number. Remember: The reciprocal of the reciprocal of Since 0 does not have a reciprocal, we cannot divide by 0.
To divide a number a by a nonzero number b, multiply a by the reciprocal of b. DIVISION RULE EXAMPLE 1
Extra Example 1 Find each quotient. a. b. c.d.
GOAL 2 WORKING WITH ALGEBRAIC EXPRESSIONS 2.7 Division of Real Numbers EXAMPLE 2 Since we divide by multiplying by the reciprocal, the same rules about signs apply. Rules for dividing two real numbers: If the signs are the same, the product is _______. If the signs are different, the product is ________. positive negative
Extra Example 2 EXAMPLE 3 Simplify the expression: Multiply by the reciprocal. Use the distributive property. Simplify.
Extra Example 3 Evaluate the expression when x = –5 and y = –1. a.b.c. Undefined
Checkpoint 1. Simplify the expression –5d Evaluate the expression when s = –3 and t = –1. 0 EXAMPLE 4
Extra Example 4 A mountain climber descends 300 feet in 50 minutes. What is her velocity? EXAMPLE 5 VERBAL MODEL LABELS ALGEBRAIC MODEL SOLVE =Velocity Displacement Time v50 min –300 feet
Extra Example 5 Find the domain of the function Since 4x cannot equal 0, the domain is all real numbers except x = 0.
Checkpoint 1. An elevator descends 120 feet in 1.5 minutes. What is its velocity? 2. Find the domain of the function All real numbers except x = –4.