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Wednesday 9/24

Wednesday 9/24. Block 2 Integers In Class p.56 Lesson 2.5 Dividing Integers Examples 1-2 Homework p.57 Exercises 1-26. Warm-Up. 20 –20 –20 20 5 4. 4(5) −4(5) 4(−5) −4(−5) 20 ÷ 4 20 ÷ 5 What is the relationship between multiplication and division?.

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Wednesday 9/24

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  1. Wednesday 9/24 • Block 2 Integers In Class p.56 Lesson 2.5 Dividing Integers Examples 1-2 Homework p.57 Exercises 1-26

  2. Warm-Up 20 –20 –20 20 5 4 • 4(5) • −4(5) • 4(−5) • −4(−5) • 20 ÷ 4 • 20 ÷ 5 • What is the relationship between multiplication and division?

  3. Lesson 2.5 Dividing Integers Divide two integers to find the quotient.

  4. Vocabulary Inverse Operations Operations that undo each other. Good to Know!  Addition and subtraction are inverse operations.  Multiplication and division are inverse operations. The related multiplication and division expressions below show that when two integers have the same sign, their quotients are positive. When two integers have different signs, their quotient is negative. These integer division rules follow the same rules that you followed when multiplying integers.

  5. Dividing Integers 1. Determine the sign of the answer.  The quotient of two integers with the SAME SIGNis POSITIVE.  The quotient of two integers with DIFFERENT SIGNS is NEGATIVE. 2. Find the quotient of the absolute values of the numbers and use the sign determined above.

  6. Example 1 Find each quotient. a. 40 ÷ (−5) The two integers have different signs so the quotient is negative. Find the quotient of the absolute 40 ÷ 5 = 8 values of the numbers. Use the correct sign on the quotient. 40 ÷ (−5) = −8 Check with the related multiplication fact. −5(−8) = 40  = + – –

  7. Example 1 Continued… Remember the fraction bar means division. Find each quotient. b. The two integers have the same sign so the quotient is positive. Find the quotient of the absolute 20 ÷ 2 = 10 values of the numbers. Use the correct sign on the quotient. ÷ + – – =

  8. Example 2 Rita’s family went hiking last weekend. They walked to the top of the falls and then turned around to come back down. It took them 15 minutes to descend 600 feet in elevation. What integer represents their change in elevation each minute? Since the family isdescending600 feet, −600 ÷ 15 = −40 the integer will be written as a negative number. The family’s elevation change is represented by −40 feet per minute.

  9. Wednesday 9/24 • Block 2 Integers In Class p.56 Lesson 2.5 Dividing Integers Examples 1-2 Homework p.57 Exercises 1-26

  10. Exit Problems –10 8 –25 –1 Ex: –32  –4 = 8 Ex: –32  4 = –8 • −24 ÷ (−3) • 5(−5) • 7 ÷ (−7) • Write an integer division problem that has a positive answer. • Write an integer division problem that has a negative answer.

  11. Communication Prompt Which of the four integer operations (+, –, ×, ÷) do you find most difficult? Which is the easiest? Why do you think this is?

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