Copyright © Lynda Greene Aguirre 2009 1 Exponential Form is used when you want to multiply the same number by itself several times. 5 is the base 4 is.

Slides:

Advertisements

Similar presentations

Section 1.3 Integer Exponents.

Advertisements

Dividing Monomials.

Multiplying Monomials and Raising Monomials to Powers

1copyright (c) Lynda Greene Complete the Square Copyright©2002 Lynda Greene 2copyright (c) Lynda Greene 2002.

ExponentsExponents Objective #1: Students will write numbers in exponential form Objective #2: Students will multiply and divide numbers in exponential.

Exponent Rules – Day 1 Zero and Negative Exponents.

Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.

Laws of Exponents. Remember: Rule 1—Multiplying like bases  When multiplying like bases, keep the base and ADD the exponents.

Exponent Rules Repeated Multiplication Remember: so and.

Warm up Use the laws of exponents to simplify the following. Answer should be left in exponential form.

Simplifying Exponential Expressions. Exponential Notation Base Exponent Base raised to an exponent Example: What is the base and exponent of the following.

Powers and Exponents Objective: Learn to use powers and exponents.

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

The Laws of Exponents.

The mathematician’s shorthand

EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –

Scientific Notation Review

Integer Exponents 8.EE.1. Objective - To solve problems involving integer exponents.

Warm Up I can simplify expressions with exponents. 1. What is the value of 3x 3 +2 when x=10? 2. You put $500 in an account that doubles every year. 

Chapter 8 Review Laws of Exponents. LAW #1 Product law: add the exponents together when multiplying the powers with the same base. Ex: NOTE: This operation.

Slide 7- 1 Copyright © 2012 Pearson Education, Inc.

Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.

Solving Radical Equations Copyright © 2011 by Lynda Aguirre1.

EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific.

Exponents. Definition: Exponent The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to.

Objective 1.To write very large or very small numbers in standard form, in scientific notation, and vice versa. To compare and order numbers in scientific.

Lesson 7-1 Warm-Up.

Rational Exponent Operations. Exponent Rules Copyright © 2013 Lynda Aguirre2.

Scientific Notation The basics and some math.. Take out your calculator.  Write these calculations and the answer in your notes:  12,922,341 /

Multiplication of Exponents Notes

Lesson 6.1 AIM: Understanding Multiplication of Exponents.

Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.

Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.

Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 = 5. 2 x 2 x 4 =

Sect 1.1 Algebraic Expressions Variable Constant Variable Expression Evaluating the Expression Area formula Perimeter Consist of variables and/or numbers,

ExponentsExponents The mathematician’s shorthand.

Multiply the coefficients, the 2 and the -3 to get -6 a 3 * a 2 will be a 5, you add exponents when you multiply terms b 1 * b 4 will be b 5.

Scientific Notation. Scientific (Exponential) Notation A number is written as the product of two numbers, a coefficient and 10 raised to a power 36,000.

1 Simplifying Exponents Likewise, 5 · 5 · 5 · 5 = 5 4, because there are four 5’s being multiplied together. Power – a number produced by raising a base.

ALGEBRA READINESS LESSON 5-7 Warm Up Lesson 5-7 Warm-Up.

Dimensional Analysis  What happens when you divide a number by itself?  What happens when you divide a unit by itself?  In both cases, you get the.

Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.

PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION ADDITION AND SUBTRACTION.

Review Exponent Rules SWBAT raise a power or product to a power; use the exponent rules for multiplication and division; write negative exponents as positive;

Scientific Notation Notes Physical Science (Freshman Physics)

Exponents / Powers Used to simplify and evaluate expressions. ex.: x (2x) 3.

Representing Numbers Numbers can be represented in different forms:

Warm-Up Evaluate when x = 4..

DAILY WARMUP 1. (-12)² = 2. -4³ = 3. What is the base? 36⁸ 4. What is the exponent? 72⁸ 5. (3 + 7)³ =

Rational Exponents.

Domain and Range Domain: Domain: Range: Range:.

EXPONENTIAL EXPRESSIONS

Algebra 1 Section 1.7.

Exponents and Scientific Notation

EXPONENTIAL EXPRESSIONS

Unit 2 (8.EE.1) Vocabulary.

Dividing Monomials.

Scientific Notation SLIDE SHOW INSTRUCTIONS

Objective: Evaluate & Simplify expressions containing zero and integer exponents.

Powers and Exponents, Square Roots

Objective: Learn to use powers and exponents.

The mathematician’s shorthand

The Laws of Exponents.

Chapter 4-2 Power and Exponents

The Laws of Exponents.

Objective: Evaluate & Simplify expressions containing zero and integer exponents.

EXPONENTIAL EXPRESSIONS

Presentation transcript:

Copyright © Lynda Greene Aguirre

Exponential Form is used when you want to multiply the same number by itself several times. 5 is the base 4 is the power (also called the exponent) The “base” is the actual number we will multiply The “power” is how many bases will be multiplied. Read as: Five to the Fourth power 2

Copyright © Lynda Greene Aguirre 2009 Definitions: 5 x 5 x 5 x 5 is called EXPANDED NOTATION is called EXPONENTIAL NOTATION 3

Copyright © Lynda Greene Aguirre 2009 For example: five to the fourth power means to perform this multiplication: 5 x 5 x 5 x 5, (multiply four 5’s together). 5 x 5 x 5 x 5 = 625 Answer 4

Using a Calculator to evaluate exponents Calculators use different buttons, but the most common one is this one ^. Copyright © Lynda Greene Aguirre 2009 Means 4 x 4 x 4 = 64 Enter it in the calculator as: 4 ^ 3 = 64 A problem like (four to the third power) 5

Using your calculator, evaluate the following exponents: Copyright © Lynda Greene Aguirre

7 Exponent Expansion Write in Expanded Form, then evaluate (if possible)

8 Rule: Exponent Rules

9 Exponent Rules: double powers Rule: Notice that you can get the same answer by multiplying the powers

10 Rule: Exponent Rules You can cancel the same number (top and bottom)as long as it’s multiplication Need to put a “1” on top if all the numbers are wiped out in the cancelling step Need to put a “1” on the bottom if all the numbers are wiped out in the cancelling step Notice that you can get to the same answer by subtracting the powers (top-bottom) Expand and evaluate each problem below

Copyright © Lynda Greene Aguirre

Copyright © Lynda Greene Aguirre 2009 The Exponent, or power, indicates how many bases should be multiplied. When the power is a zero, that means that there are no bases. The “power” indicates that there will be no 3’s Read as: Three to the zero’th power 12

However, this is not equal to zero, it is defined as: Definition of a Zero Exponent: Anything raised to the zero’th power is equal to “1” It doesn’t matter what is being raised the power of zero, it will be equal to the number “1”. Copyright © Lynda Greene Aguirre

Copyright © Lynda Greene Aguirre

Copyright © Lynda Greene Aguirre 2009 First write the base as a fraction (if it’s not already written that way) 15 Negative Exponents Parking Ticket: The negative power means that the base (the “4” in this case) is in the wrong place. Since this is a fraction, there are only two “parking places”, the top or the bottom. Move the 4’s to the bottom and tear up the parking ticket (i.e. change the negative power into a positive power) Finish the problem

Practice Problems Copyright © Lynda Greene Aguirre