1. Holt Algebra 1 BM3 Real Number Operations Example #1 –4 + (–7) Example #2 2 + (–6) Example #3 –3 + 8 Same signs and keep the sign. 4 + 7=-11 Example #4 Diff signs and keep the sign. 6 - 2=-4 Diff signs and keep the sign. 8 – 3=5 Same signs and keep the sign. 9 + 6=15 9 + 6 add Neg. subtract Neg. subtract positive add positive

2. Holt Algebra 1 BM3 Real Number Operations KFC If subtraction then do the KFC method… C hange F lip K eep

3. Holt Algebra 1 BM3 Real Number Operations Example #5 –3 - (–7) Example #6 -1 - 7 Example #7 4 - 8 -3 + (+7) diff signs subtract and keep the bigger sign. 7 - 3=4 Example #8 -1 + (-7) Same signs add and keep the same sign. 7 + 1=-8 4 + (-8) Different signs subtract and keep the neg. 8 - 4=-4 15 + (+9) Same signs add and keep the same sign. 15+9=24 15 – (-9)

4. Holt Algebra 1 BM3 Real Number Operations Example #9 6 – (-3) - 5 12 – 3 – (-4) 6 + 2 + (-4) - 6 + 2 - 5 Example #10 Example #11 Example #12 6 +(+3) - 5 12 – 3 + 4= 8+(-4) -4 – 5= 9 – 5=4 9+4= 4 -4 + (-5)= 13 -9

5. Holt Algebra 1 BM3 Real Number Operations WORDS Multiplying and Dividing Numbers with the Same Sign If two numbers have the same sign, their product or quotient is. NUMBERS Multiplying and Dividing Signed Numbers 4(5)= –15 ÷ (–3) = 20 5 positive

6. Holt Algebra 1 BM3 Real Number Operations WORDS Multiplying and Dividing Numbers with Different Signs If two numbers have different signs, their product or quotient is. NUMBERS Multiplying and Dividing Signed Numbers 6(-3)= –18 ÷ (2) = -18 -9 negative

7. Holt Algebra 1 BM3 Real Number Operations Find the value of each expression. –5–5 The product of two numbers with different signs is negative. Example 1: Multiplying and Dividing Signed Numbers A. 12 The quotient of two numbers with the same sign is positive. B.

8. Holt Algebra 1 BM3 Real Number Operations Find the value of the expression. The quotient of two numbers with different signs is negative. Example 1C: Multiplying and Dividing Signed Numbers First substitute for x.

9. Holt Algebra 1 BM3 Real Number Operations Example 3: Multiplying and Dividing with Zero Multiply or divide. A. 15 0 B. –22  0 undefined C. –8.45(0) 0 Zero is divided by a nonzero number. The quotient of zero and any nonzero number is 0. A number is divided by zero. Division by zero is undefined. A number is multiplied by zero. The product of an number and 0 is 0. 0

10. Holt Algebra 1 BM3 Real Number Operations Find the value of each expression. –7–7 The quotient of two numbers with different signs is negative. Extra Examples E1. 35  (–5) 44 The product of two numbers with the same sign is positive. E2. –11(–4)

11. Holt Algebra 1 BM3 Real Number Operations Find the value of each expression. – 6x = – 6(7) First substitute 7 for x. Extra Examples E3. –6x for x = 7 = – 42 The product of two numbers with different signs is negative.

12. Holt Algebra 1 BM3 Real Number Operations Extra Examples Divide: E7. 0 ÷ 0 0 ÷ 0 = undefined Any number divided by 0 is undefined. E8. (–12.350)(0) ( – 12.350)(0) = 0 The product of any number and 0 is 0.