M ATH 9 P RINCIPLES S ECTION 2.1 W HAT ARE E XPONENTS © Copyright all rights reserved to Homework depot: www.BCMath.cawww.BCMath.ca.

Slides:



Advertisements
Similar presentations
Homework Answers (1-2 Worksheet)
Advertisements

© 2007 by S - Squared, Inc. All Rights Reserved.
Apply Properties of Multiplying Integer Exponents What if the chips represented 4 5 * 4 2 ? What would be a simplified expression? X X X X.
ExponentsExponents JEOPARDY JEOPARDY click here to PLAY.
Surds Learning objectives Different kind of numbers
N EGATIVE E XPONENTS, R ECIPROCALS, AND T HE E XPONENT L AWS Relating Negative Exponents to Reciprocals, and Using the Exponent Laws.
Exponents Lesson 2-8.
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. 
1.2 Algebraic Expressions 8/23/13
EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific.
9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can.
S ECTION 2.2 Z ERO AND P OWERS OF 10 © Copyright all rights reserved to Homework depot:
Simplify each expression x 5 3x –2 3.(–2w –2 )(–3w 2 b –2 )(–5b –3 ) x 3 30 b 5 –
Base: the number that is multiplied Power: the number that is expressed as the exponent Exponent: tell how many times the base is used as a factor Standard.
Evaluate numerical expressions
Do Now 9/13/10  Take out HW from Wednesday. Text page 8, #32-40, all Text page 8, #32-40, all  Copy HW in your planner. Text p , #14-32.
Exponents. What number is being multiplied over and over again? How many times is 2 used as a factor?
W ELCOME TO THE MM204 U NIT 9 S EMINAR. S ECTION 6.1: E XPONENTS Multiplying Exponential Terms Add the exponents. Keep base the same. Example: x 2 * x.
Section 6-1: properties of exponents
Whiteboardmaths.com © 2004 All rights reserved
11.2A Simplify and Multiply Square Roots. Squaring a Number When a number is squared, it is multiplied to itself: Notice squaring any number.
Objective - To subtract integers. To subtract an integer is to add its opposite. a - b =a + -b = (-5) =8 + 5 = = 4 Rewrite the.
1 Algebra 2: Section 7.1 Nth Roots and Rational Exponents.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 5.1 – Slide 1.
Simplifying Expressions (XEI303): Combining Like Terms Name Nov 21, Key Terms Key TermDefinition Base The number that is going to be raised to.
Day Problems Simplify each expression – – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = a – b + c5. |c + a + 5|
Lesson 6.1 AIM: Understanding Multiplication of Exponents.
Exponents. What number is being multiplied over and over again? How many times is 5 used as a factor?
Exponents Lesson 4-2.
1-2 Order of Operations and Evaluating Expressions.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Scientific Notation Multiplication.
Notes Over 2.8 Rules for Dividing Negative Numbers. ( Same as Multiplying ) If there is an even number of negative numbers, then the answer is Positive.
Multiply Positive and Negative Numbers August 26, 2015.
Understanding Exponents
Objective - To multiply integers. Signs are the same Signs are different Simplify. 1) 2) 3) 4) 5) 6)
Exponent Quiz Review. Evaluate the expression 4 2  Answer: 16.
Use definition of zero and negative exponents
Warm Up What is each expression written as a single power?
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Complex Fractions.
2.3 Multiplying Rational Numbers The product of numbers having the same sign is positive. The product of numbers having different signs is negative.
T HE 9 L AWS OF E XPONENTS. L ET ’ S P LAY MATCH!!! Divide into two teams as directed by Ms. S Elect a team member to represent your team for each question.
Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 1 Whole Numbers.
Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.
$200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 Evaluate Squares and Square.
LESSON 4-7 EXPONENTS & MULTIPLYING. When we multiply terms with exponents  ADD exponents of like variables.
4-2 Integer Exponents Warm Up Evaluate , , ,000,000.
Exponents / Powers Used to simplify and evaluate expressions. ex.: x (2x) 3.
Chapter 1, Lesson 1A Pages 25-28
Understanding Exponents
The Order of Operations
So, to simplify an expression using order of operations, you should:
Goal: Simplify expressions with like terms
ORDER OF OPERATIONS BEMDAS. 1. Brackets - ( ) or [ ]
Exponents and Scientific Notation
Simplifying Algebraic Expressions
Chapter 5-1 Exponents.
Section 6.1 Simplifying Rational Expressions and NPV’s
Math 11 algebra Review ©Copyright All Rights Reserved to Homework Depot at
Section 6.2 Multiplying and Dividing Rational Expressions
3 WARM UP EVALUATING NUMERICAL EXPRESSIONS –
Section 2.2 Geometric Sequences
Chapter 6 Lesson 6-1.
Objective Use multiplication properties of exponents to evaluate and simplify expressions.
Exponents and Order of Operations
Section 2.2 Zero and Negative Exponents
Section 2.1 Solving for Exponents Worksheet
Section 2.3 Fractional Exponents
8.1 – 8.3 Review Exponents.
Go over Homework.
Section 2.6 Rationalizing Radicals
Presentation transcript:

M ATH 9 P RINCIPLES S ECTION 2.1 W HAT ARE E XPONENTS © Copyright all rights reserved to Homework depot:

P ROBLEM : B ILL G ATES DECIDED TO G IVE YOU MONEY. T HE FIRST DAY HE WILL GIVE YOU ONE CENT AND THEN DOUBLE THE AMOUNT EACH DAY. H OW MUCH MONEY WILL YOU RECEIVE ON THE 15 TH DAY ? The value on the 15 th day can also be found by multiplying “2” over 14 times © Copyright all rights reserved to Homework depot:

W HAT ARE E XPONENTS ? Exponents are used to represent the multiplication of a constant over many times Rather than writing out the same constant over again, we can exponents to simplify the expression Write as a single exponent The number in the bottom is the Base The number at the top is the Exponent The entire expression is a “Power” ie: 2 to the power of 14 The base is the number that is being multiplied by The exponent is how many times you multiply the base by itself © Copyright all rights reserved to Homework depot:

E X : W RITE THE FOLLOWING AS A P OWER AND THEN EVALUATE THE POWER © Copyright all rights reserved to Homework depot:

P OWERS WITH N EGATIVE BASES If the base has a negative sign within brackets, then the base is negative If the negative sign is not within brackets or there are no brackets, then the base is positive, with a negative sign in front The product of two negative bases will become positive Base is -5 Base is 5, so only the “5” is squared and not the negative sign © Copyright all rights reserved to Homework depot:

E X : E VALUATE EACH OF THE POWERS © Copyright all rights reserved to Homework depot:

E X : I NDICATE WHETHER IF THE EXPRESSION IS POSITIVE OR NEGATIVE Positive Negative Positive Negative Positive © Copyright all rights reserved to Homework depot:

E X : C OCKROACH Q UESTION : If a colony of 2 cockroaches doubles every day, how many cockroaches will there be after 1 week? © Copyright all rights reserved to Homework depot: Copyright all rights reserved to Homework depot:

© Copyright all rights reserved to Homework depot:

© Copyright all rights reserved to Homework depot: How many cockroaches there was in the beginning After “7” days, so the base is multiplied 7 times The population “DOUBLES” each day

H OMEWORK Pp # 7 -9, 13, 15, 17, 18 © Copyright all rights reserved to Homework depot: