1. A DDING AND S UBTRACTING R ATIONAL N UMBERS

2. R ATIONAL N UMBER :

3. A DDING AND S UBTRACTING We can use the same rules we found for integers for rational numbers Adding Rule 1: If the signs are the same  Add and keep the same sign Adding Rule 2: Different signs  Subtract and use larger sign Subtracting Rule: Keep-Change-Change

4. F RACTIONS Let’s review Example 1: Try this one: OR I could use Keep-Change-Change!

5. M ORE F RACTIONS Problem 1: Remember: We subtract to find our answer because we are battling our zero pairs!

6. T RY T HIS O NE : Problem 2: Remember we want to wait until we have a common denominator before we decide which fraction has a bigger absolute value.

7. A C OUPLE M ORE : Problem 3: Subtraction Problem 4: Keep-Change-Change!

8. M IXED N UMBERS Problem 1: Problem 2: Whoa! That looks easy! Let’s think about pizza… Remember this only works when they have the SAME SIGN!

9. M ORE M IXED N UMBERS

10. L ET ’ S T ALK A BOUT D ECIMALS They work the same way as integers and fractions! Just follow your adding and subtracting integer rules! Keep-Change-Change

11. P ROPERTIES Commutative Property of Addition: Numbers can be added in any order. Example: 5+3=3+5 Associative Property of Addition: Numbers can be grouped in any way. Example: (7+3) + 5 = 7 + (3+5) Identity Property of Addition: The sum of any number and zero is that number. Example: 18 + 0 = 18

12. M ORE W ITH P ROPERTIES

13. A DDING AND S UBTRACTING R ATIONAL N UMBERS P RACTICE