ALGEBRA READINESS LESSON 2-5 Warm Up

ALGEBRA READINESS LESSON 2-5 Warm Up

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

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

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

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

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

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