Download presentation

Presentation is loading. Please wait.

Published byDaphne Hatley Modified over 2 years ago

1
**7-1 Integer Exponents Warm Up Lesson Presentation Lesson Quiz**

Holt Algebra 1

2
Warm Up Evaluate each expression for the given values of the variables. 1. x3y2 for x = –1 and y = 10 for x = 4 and y = (–7) Write each number as a power of the given base. –100 3. 64; base 4 43 4. –27; base (–3) (–3)3

3
**Objectives Evaluate expressions containing zero and integer exponents.**

Simplify expressions containing zero and integer exponents.

4
**You have seen positive exponents**

You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = 3 3 = 9. But what does it mean for an exponent to be negative or 0? You can use a table and look for a pattern to figure it out. Power Value 55 54 53 52 51 50 5–1 5–2 3125 625 125 25 5 5 5 5 5

5
When the exponent decreases by one, the value of the power is divided by 5. Continue the pattern of dividing by 5.

6
Base x Exponent Remember! 4

8
**Notice the phrase “nonzero number” in the previous table**

Notice the phrase “nonzero number” in the previous table. This is because 00 and 0 raised to a negative power are both undefined. For example, if you use the pattern given above the table with a base of 0 instead of 5, you would get 0º = . Also 0–6 would be = . Since division by 0 is undefined, neither value exists.

9
**2–4 is read “2 to the negative fourth power.”**

Reading Math

10
Example 1: Application One cup is 2–4 gallons. Simplify this expression. cup is equal to

11
Check It Out! Example 1 A sand fly may have a wingspan up to 5–3 m. Simplify this expression. 5-3 m is equal to

12
**Example 2: Zero and Negative Exponents**

Simplify. A. 4–3 B. 70 Any nonzero number raised to the zero power is 1. 7º = 1 C. (–5)–4 D. –5–4

13
In (–3)–4, the base is negative because the negative sign is inside the parentheses. In –3–4 the base (3) is positive. Caution

14
Check It Out! Example 2 Simplify. a. 10–4 b. (–2)–4 c. (–2)–5 d. –2–5

15
**Example 3A: Evaluating Expressions with Zero and Negative Exponents**

Evaluate the expression for the given value of the variables. x–2 for x = 4 Substitute 4 for x. Use the definition

16
**Example 3B: Evaluating Expressions with Zero and Negative Exponents**

Evaluate the expression for the given values of the variables. –2a0b-4 for a = 5 and b = –3 Substitute 5 for a and –3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. Simplify.

17
Check It Out! Example 3a Evaluate the expression for the given value of the variable. p–3 for p = 4 Substitute 4 for p. Evaluate exponent. Write the power in the denominator as a product. Evaluate the powers in the product.

18
Check It Out! Example 3b Evaluate the expression for the given values of the variables. for a = –2 and b = 6 Substitute –2 for a and 6 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. 2 Simplify.

19
**What if you have an expression with a negative exponent in a denominator, such as ?**

Definition of a negative exponent. Substitute –8 for n. Simplify the exponent on the right side. An expression that contains negative or zero exponents is not considered to be simplified. Expressions should be rewritten with only positive exponents. So if a base with a negative exponent is in a denominator, it is equivalent to the same base with the opposite (positive) exponent in the numerator.

20
**Example 4: Simplifying Expressions with Zero and Negative Numbers**

A. 7w–4

21
**Example 4: Simplifying Expressions with Zero and Negative Numbers**

C. and

22
Check It Out! Example 4 Simplify. a. 2r0m–3 rº = 1 and b. c.

23
Lesson Quiz: Part I 1. A square foot is 3–2 square yards. Simplify this expression. Simplify. 2. 2–6 3. (–7)–3 4. 60 1 5. –112 –121

24
Lesson Quiz: Part II Evaluate each expression for the given value(s) of the variables(s). 6. x–4 for x =10 7. for a = 6 and b = 3

Similar presentations

OK

Holt Algebra 1 7-1 Integer Exponents Simplify expressions with exponents. Objectives.

Holt Algebra 1 7-1 Integer Exponents Simplify expressions with exponents. Objectives.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on regional transport office mumbai Ppt on otto cycle free download Ppt on supply chain management of nokia phones Ppt on chemical and magnetic effect of electric current Knowledge based view ppt on iphone Ppt on 9/11 conspiracy theories Appt only Ppt on zener diode circuit Ppt on water our lifeline program Ppt on search engine google