1. ALGEBRA READINESS LESSON 2-5 Warm Up

2. ALGEBRA READINESS LESSON 2-5 Warm Up

3. ALGEBRA READINESS “Dividing Integers” (2-5) What are the rules for dividing positive and negative numbers? NOTE: You can use same rules for multiplying positives and negatives. Rule: Dividing Numbers With the Same Sign: The quotient of two positive or two negative numbers is positive. Examples: 6 ÷ 3 = 2 : -6 ÷ (-3) = 2 Rule: Dividing Numbers With Different Signs: The quotient of two numbers with opposite signs (a “+” number divided by a “–” number or a “-” number divided by a “+” number) is negative. Examples: -6 ÷ 3 = -2 : 6 ÷ -3 = -2

4. ALGEBRA READINESS Simplify each expression. a.70 ÷ (–5) b.–54 ÷ (–9) The quotient of a positive number and a negative number is negative. = –14 The quotient of a negative number and a negative number is positive. = 6 Dividing Integers LESSON 2-5 Additional Examples

5. ALGEBRA READINESS In a 2-hour period, the wind speed decreased from 28 mph to 18 mph. If the speed decreased the same amount each hour, how much did the wind speed change each hour? –10 ÷ 2 = r The wind speed changed at an average rate of –5 mph each hour. Wordstotaldividednumberequalschange change by of hoursper hour Let r = the average change per hour. Equation–10÷2 = r –5 = rdifferent signs, negative quotient Dividing Integers LESSON 2-5 Additional Examples

6. ALGEBRA READINESS Evaluate – – 4z 2 for x = -4, y = –2, and z = –4. = – 4 (16)Simplify the power. –4 –2 = 2 – 64Divide and multiply. = –62Subtract. xyxy – – 4z 2 = – 4(–4) 2 Substitute -4 for x, –2 for y, and –4 for z. xyxy –4 –2 Dividing Integers LESSON 2-5 Additional Examples

7. ALGEBRA READINESS Evaluate for p = and r = –. = –2Simplify. prpr 3232 3434 = p ÷ rRewrite the equation. prpr = ÷ Substitute for p and – for r. 3434 ( – ) 3232 3232 3434 = Multiply by the reciprocal of - – = - –. 4343  – – 3232 4343 3434 Dividing Integers LESSON 2-5 Additional Examples

8. ALGEBRA READINESS Find each quotient. 1.–27 ÷ (–3)2.30 ÷ (–6) 9–5 Dividing Integers LESSON 2-5 Lesson Quiz