1. Evaluating Algebraic Expressions 4-2 Integer Exponents 10 5 Simplify – find the product. 1000 1. 10 3 2. 10 1 3. 10 4 10 10,000 100,000 4. Activating Prior Knowledge – Notes Tie to LO

2. Evaluating Algebraic Expressions 4-2 Integer Exponents Learning Objective Today, we will simplify expressions with negative exponents and apply exponent properties. CFU

3. Evaluating Algebraic Expressions 4-2 Integer Exponents Concept Development – Pair Share CFU What do you think will happen if the exponent decreases by 1?

4. Evaluating Algebraic Expressions 4-2 Integer Exponents Look at the pattern shown in the table to extend what you know about exponents to include negative exponents. ÷ 10 10 2 1 0 –1 10 –2 10 100 10 1 1 1 1 = 0.1 1 10 1 100 = 0.01 Concept Development – Notes #1 CFU ÷ 10

5. Evaluating Algebraic Expressions 4-2 Integer Exponents NEGATIVE EXPONENTS Concept Development – Notes #2 CFU

6. Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify the powers of 10. Ex 1. 10 –2 10 –2 = 1 10 = 1 100 Multiply. Concept Development – Notes #3 CFU

7. Evaluating Algebraic Expressions 4-2 Integer Exponents 4 –2 Write the power under 1; change the sign of the exponent. Ex 2 - Simplify. Find the product. Simplify. 1 4 = 16 1 = Concept Development – Cont. Notes #3 CFU

8. Evaluating Algebraic Expressions 4-2 Integer Exponents Negative Exponents Rule: Any number except 0 with a negative exponent equals its reciprocal with the opposite exponent. Concept Development – Notes #4 CFU

9. Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify the powers of 10. 10 –8 = 1 100,000,000 1 10 10 10 10 Extend the pattern from the table. Multiply. Skill Development/Guided Practice – Notes #5 CFU

10. Evaluating Algebraic Expressions 4-2 Integer Exponents 10 –6 Simplify the powers of 10. Find the product. Simplify. 1 10 10 10 = 1,000,000 1 = = 0.000001 10 10 10 Skill Development/Guided Practice – Notes #6 CFU

11. Evaluating Algebraic Expressions 4-2 Integer Exponents 7. 5 –3 Write the power under 1; change the sign of the exponent. Skill Development/Guided Practice – Notes #7 & 8 Simplify. Find the product. Simplify. 1 5 5 5 = 125 1 = 8. 6 –3 CFU

12. Evaluating Algebraic Expressions 4-2 Integer Exponents Concept Development – Pair Share CFU Discuss how to simplify the expression.

13. Evaluating Algebraic Expressions 4-2 Integer Exponents 9. (–7) –4 Write the power under 1; change the sign of the exponent. Simplify. Find the product. Simplify. 1 –7 –7 = 2401 1 = 10. (–2) –3 Skill Development/Guided Practice – Notes #9 & 10 CFU

14. Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression. Write your answer in exponential form. Skill Development/Guided Practice – Notes #15 & 16 CFU

15. Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression. Write your answer in exponential form. Skill Development/Guided Practice – Notes #17 & 18 CFU

16. Evaluating Algebraic Expressions 4-2 Integer Exponents Simplify each expression. Write your answer in exponential form. Skill Development/Guided Practice – Whiteboard CFU

17. Evaluating Algebraic Expressions 4-2 Integer Exponents 1. What did we learn today? Closure – End of Notes 2. Why is this important to you? 3. How do I simplify a negative exponent? CFU