1. Dividing INTEGERS

2. Discovery Activity
With a partner, complete both parts to the “Discover the Math” activity on pages

3. 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?

4. 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?

5. 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

6. 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?

7. 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.

8. 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.

9. 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