(Continued) 0-3 0-5 Operations with Real Numbers

Operations with Name______Real Numbers Date______Block______Question/Main Ideas: Notes:

Number Line: . ______

Origin: . ______

Opposite: . ______

Point: . ______

Graph of a Number: . ______

Absolute Value: . ______

Example 1: Absolute Value 1. If a is positive, then 2. If a is zero, then 3. If a is negative, then 4. What is the negative absolute value of a number?

Example 2: Finding Absolute Value Evaluate the expression. 5.

Connections, Summary, Reflection, Analysis:

Question/Main Ideas: Notes:

To multiply integers:  ______

To divide integers:  ______

Example 3: Multiplying or Dividing

8. -412

10. 23(2)

11. (-13)(-2)

14. 96 ÷ (-6)

16. (10)(-6)(-2)

17. What happens when you multiply an even number of negatives?

18. What about an odd number of negatives?

(continued) 0-3 – 0-5 Operations with Real Numbers Question/Main Ideas: Notes:

To add or subtract 1. If necessary, eliminate double ______using the rules for multiplying integers: integers. o -(-n) is the same as -1-n = o +(-n) is the same as +1-n = 2. If the integers have the same sign, and keep the sign. 3. If the integers have the different signs, . Keep the sign of Example 4: the integer with the absolute value. Adding or Subtracting 19. -11 + (-7) 20. -2 + 3 21. 18 - 23 22. -13.12 + (-8.6) 23. 3 + (-4) 24. -12.6 + 3.9 25. 12 + (-6) + 1 + (-7) 26. 27. 28. 29. -11 + |-23| 30. 4 - |5| 31. The outside temperature was -4oF in the morning and 13oF in the afternoon. By how much did the temperature increase?

32. A move theater gave out 50 coupons for $3 off each movie. What is the total amount of discounts provided by the theater?