Algebra 2-4 Dividing Rational Numbers 1. 2. 3. Note: For this problem, 2 × 3 is considered different from 3 × 2 Math Pacing Harbour

Algebra 2-4 Dividing Rational Numbers Since multiplication and division are inverse operations, the rule for finding the sign of the quotient of two numbers is similar to the rule for finding the sign of a product of two numbers. Dividing Integers Harbour

Algebra 2-4 Dividing Rational Numbers Dividing Numbers with the Same Sign The quotient of two numbers with the same sign is positive. Examples: Dividing Integers Harbour

Algebra 2-4 Dividing Rational Numbers Dividing Numbers with Different Signs The quotient of two numbers with different signs is negative. Examples: Dividing Integers Harbour

Divide Integers Find . Answer: positive quotient Example 4-1a

Divide Integers Find . Divide. negative quotient Answer: Example 4-1b

Divide Integers Find each quotient. a. Answer: 20 b. Answer: –15 Example 4-1c

Simplify Before Dividing Simplify the numerator first. Multiply. Answer: different signs  negative quotient Example 4-2a

Simplify Before Dividing Answer: 3 Example 4-2b

Algebra 2-4 Dividing Rational Numbers The rules for dividing positive and negative integers also apply to division with rational numbers. Dividing Integers Harbour

Divide Rational Numbers Find . Estimate: – 108 ÷ 9 = – 12 Answer: Use a calculator. different signs  negative quotient Example 4-3a

Algebra 2-4 Dividing Rational Numbers Remember that to divide by any nonzero number, multiply by the reciprocal of that number. Dividing Integers Harbour

No calculator!! – Divide Rational Numbers Find . Multiply by the reciprocal of – Answer: same signs  positive quotient Example 4-3b

Divide Rational Numbers Find each quotient. a. b. Answer: 15.3 Answer: Example 4-3c

Algebra 2-4 Dividing Rational Numbers Page 86 #18 – 36 even (10 problems – 10 points) Math Pacing Harbour

Divide Rational Numbers Baseball The perimeter of a square baseball diamond is 360 feet. Find the length of one side of the diamond. To find the length of one side, divide the perimeter by the number of sides. same signs  positive quotient Answer: The length of one side is 90 feet. Example 4-4a

Divide Rational Numbers The perimeter of a triangular building is 450 feet. Find the length of each side. Answer: 150 feet You can use the Distributive Property to simplify fractional expressions. Example 4-4b

Simplify Algebraic Expressions The fraction bar indicates division. Multiply by the reciprocal of 13. Distributive Property. Answer: Simplify. Example 4-5a

Do this one in your notes, PLEASE!! Simplify Algebraic Expressions Simplify Answer: Example 4-5c

Evaluate Algebraic Expressions Evaluate if w = 2, x = –9.1 and y = 4. Replace w with 2, x with –9.1 and y with 4. Find the numerator and denominator separately. Answer: Use a calculator. different signs  negative quotient Example 4-6a

Evaluate Algebraic Expressions Evaluate if s = 2.3, t = 5 and u = –4. Answer: –14.375 Example 4-6b