Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Bellringer: 1) ­3 + 5 8 4 ­10 . 5 13 3) ­2 3 ­5 2) 1 2 ­ ( ) 3 4) 9 ­5 15 ÷ 8 64 Jul 26­12:38 PM 1 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Sep 29­8:02 AM 2 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers Objective: To divide rational numbers and solve problems by dividing rational numbers Reciprocal: a multiplicative inverse for a number x, denoted by 1/x is a number which when multiplied by x yields the multiplicative identity. The rules for dividing rational numbers is the same for multiplying rational numbers. Positive ÷Positive = Negative ÷ Negative = Positive ÷Negative = Negative ÷Positive = Jun 6­8:17 PM 3 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Examples: Dividing Same Sign Rational Numbers • When both numbers are positive, the quotient is _____________. • When both numbers are negative, the quotient is _____________. • For fractions, change mixed fractions into improper fractions. • Multiply by the reciprocal of the divisor. • For decimals, use your calculator. _ _ 1) Find the quotient. a) 56 2 b) 2.064 ÷ 0.24 ÷ 3 1 c) ­3 56 ­2 ÷ 3 d) ­3.9 ÷ ­1.5 Dividing Different Sign Rational Numbers • • • • When both numbers have different signs, the quotient is _____________. For fractions, change mixed fractions into improper fractions. Multiply by the reciprocal of the divisor. For decimals, use your calculator. 2) Find the quotient. ­5 a) 6 ÷ 5 b) 16.9 ÷ ­1.3 7 c) 6 25 ÷ ­1 3 5 d) ­13.65 ÷ 2.1 Jun 10­10:28 AM 4 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Application: 3) Denise takes her father's old bicycle to a shop to be restored. The shop owner charges Denise $205.20 for the work on the bicycle. The owner wants Denise to pay the bill in full in 4 months. What amount does Denise need to pay each month to settle the bill? 3 4) One can of iced tea holds 12 fl oz. A 2­liter bottle holds 67 fl oz. 5 How many cans of iced tea will you need to fill a 2­liter bottle? 3) 5) 6) 7) 5) Jun 16­10:50 AM 5 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Classwork (Partners) Textbook Pages 45 & 46, #'s 8 - 34 even Jun 10­11:05 AM 6 Unit 1 Chapter 1 Section 8 Dividing Rational Numbers.notebook September 29, 2015 Challenge Lucille had 48 oz of dried blueberries. Each batch of muffins uses 3.6 oz of dried blueberries. After making several batches, 30 oz of the dried blueberries are left. How many batches of muffins did she make? Jul 26­12:40 PM 7