1. 1.5 ADDING AND SUBTRACTING REAL NUMBERS I can find the sums and differences of real numbers.

2. YOU CAN ADD OR SUBTRACT USING A NUMBER LINE 3+5

3. YOU CAN ADD OR SUBTRACT USING A NUMBER LINE 3+(-5)

4. YOU CAN ADD OR SUBTRACT USING A NUMBER LINE -3+5

5. YOU CAN ADD OR SUBTRACT USING A NUMBER LINE -3+(-5)

6. ABSOLUTE VALUE The distance between a number and 0 on the number line.

7. SAME SIGNS ADD (SSA) To add two numbers with the same sign, add their absolute value. The sum has the same sign as the addends. Examples: 3+4 -3 + (-4)

8. DIFFERENT SIGNS SUBTRACT (DSS) To add two numbers with different signs, subtract the absolute values. The sum has the same sign as the addend with the greater absolute value. Examples: -3 + 4 3 + (-4)

9. FRACTIONS

10. INVERSE PROPERTY OF ADDITION Two number the same distance from 0 on a number line are called opposites (ex: 3 and -3) A number and its opposite are called additive inverses The inverse property of addition says: For every real number a, there is an additive inverse –a such that a + (-a) = 0 Examples?

11. SUBTRACTING REAL NUMBERS To subtract a real number, add the opposite a – b = a + (-b) 3 – 5 3 – (-5)

12. 1.6 MULTIPLYING AND DIVIDING REAL NUMBERS I can find products and quotients of real numbers.

13. MULTIPLYING REAL NUMBERS The product of two real numbers with different signs is negative. 2(-3) -23 The product of two real numbers with the same sign is positive. 23 -2(-3)

14. SQUARE ROOTS

15. DIVIDING REAL NUMBERS The quotient of two real numbers with different signs is negative The quotient of two real numbers with the same sign is positive

16. DIVISION INVOLVING ZERO The quotient of 0 and any nonzero real number is 0 0÷8 = 0 The quotient of any real number and zero is undefined 8÷0 = undefined 0÷0 = undefined

17. INVERSE PROPERTY OF MULTIPLICATION

18. RECIPROCAL

19. DIVIDING FRACTIONS

20. ASSIGNMENT Worksheet