Dividing INTEGERS.

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Presentation transcript:

Dividing INTEGERS

Discovery Activity With a partner, complete both parts to the “Discover the Math” activity on pages 366-367

Discovery Activity 2) Division Statements: 3) Division Statements: Part 1 2) Division Statements: 12 ÷ (-3) = -4 12 ÷ (-4) = -3 3) Division Statements: 35 ÷ (-7) = -5 35 ÷ (-5) = -7 What is your rule for dividing a positive integer by a negative integer?

Discovery Activity 1) Division Statements: 2) Division Statements: Part 2 1) Division Statements: -12 ÷ (-3) = 4 -12 ÷ (4) = -3 2) Division Statements: -35 ÷ (7) = -5 -35 ÷ (-5) = 7 What is your rule for dividing a negative integer by a positive integer? What is your rule for dividing a negative integer by a negative integer?

Find Integer Quotients Examples a) 10 ÷ (-2) = _____ Answer: -5 How: The signs are different, so the quotient is negative b) -28 ÷ (-4) = _____ Answer: 7 How: The signs are the same, so the quotient is positive Integer Rule Song - A Quick Review

Division Problems Jodi has to decrease the temperature of a chemical solution by 20°C. She can only decrease it 4°C at a time so crystals won’t form. How many times must she decrease the temperature? Tim lost a total of 150 points in five questions on a TV game show. What was his mean point loss per question?

Applying Integer Division (Problems) Example Jodi has to decrease the temperature of a chemical solution by 20°C. She can only decrease it 4°C at a time so crystals won’t form. How many times must she decrease the temperature? Solution: -20 ÷ (-4) = 5 Jodi will need to decrease the temperature 5 times. This shows that dividing a negative integer by a negative integer results in a positive quotient.

Applying Integer Division (Problems) Example Tim lost a total of 150 points in five questions on a TV game show. What was his mean point loss per question? Solution: -150 ÷ 5 = -30 Tim’s mean loss per question is 30 points. This shows that dividing a negative integer by a positive integer results in a negative quotient.

Multiplying/Dividing Rules The rules for multiplying and dividing integers are the same When you multiply or divide the same signs, the answer will be positive 35 ÷ 7 = 5 -2 x (-4) = 8 When you multiply or divide different signs, the answer will be negative 35 ÷ (-7) = -5 -2 x 4 = -8