1. Objectives You will be able to: 1.Add, subtract, multiply and divide integers. 2. Use the number line as a tool to help.

2. The Number Line Integers = {…, -2, -1, 0, 1, 2, …} Whole Numbers = {0, 1, 2, …} Natural Numbers = {1, 2, 3, …} -505

3. Examples: Use the number line if necessary. 4 2) (-1) + (-3) = -4 3) 5 + (-7) = -2 1) (-4) + 8 =

4. -1 + 3 = ? 1.-4 2.-2 3.2 4.4 Answer Now

5. -6 + (-3) = ? 1.-9 2.-3 3.3 4.9 Answer Now

6. 11b + (+2b) 13b Okay, here’s one with a variable! Example #3: 11b - (-2b)

7. Which is equivalent to -12 – (-3)? Answer Now 1.12 + 3 2.-12 + 3 3.-12 - 3 4.12 - 3

8. Multiplying Rules 1) If the numbers have the same signs then the product is positive. (-7) (-4) = 28 2) If the numbers have different signs then the product is negative. (-7) 4 = -28

9. Examples 1) (3x)(-8y) 2) Write both numbers as a fraction. Cross-cancel if possible. =-16 Multiplying fractions: top # Bottom # bottom# -24xy

10. Multiply: (-3)(4)(-2)(-3) 1.72 2.-72 3.36 4.-36 Answer Now

11. Trick! 3 negative signs -> Odd -> answer is negative -480 When you have an odd number of negatives, the answer is negative. When you have an even number of negatives, the answer is positive. 4) (-2)(-8)(3)(-10) Do you have an even or odd number of negative signs?

12. When multiplying two negative numbers, the product is negative. 1.True 2.False Answer Now

13. What is the sign of the product of (-3)(-4)(-5)(0)(-1)(-6)(-91)? 1.Positive 2.Negative 3.Zero 4.Huh? Answer Now

14. Homework 0.4 Worksheet Problems 1 and 2 Don’t forget the proper homework format!