Mini-Lesson 1. Section 1.1: Order of Operations PEMDAS
|
|
|
- Griffin Brown
- 5 years ago
- Views:
Transcription
1 Name: Date: 1 Section 1.1: Order of Operations PEMDAS If we are working with a mathematical expression that contains more than one operation, then we need to understand how to simplify. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. P Terms inside parenthesis ( ) or brackets [ ] E MD AS Exponents and roots Multiplication and division (from Left to Right). Addition and subtraction (from Left to Right). Use the order of operations to evaluate each of the following expressions. Use your calculator to check your answers. Example 1: ( )² = ² = = 10 (7 + 1)= Example : 4 (4 ) =
2 Example : 4 + ( ) = Example 4: 1 = 1 You Try Use the order of operations to evaluate each of the following expressions. Use your calculator to check your answers (1 ) =. 6 8 = 4
3 Section 1.: Fractions Improper Fractions and Mixed Numbers Converting a mixed number to an improper fraction: 1. Multiply the denominator and the whole number. Add the numerator. Write the result over the denominator Example 1: Express as an improper fraction Converting an improper fraction to a mixed number: 1. Divide the numerator by the denominator. The quotient becomes the whole number part of the mixed number. Write the remainder over the denominator Example : Express an improper fraction as a mixed number. 4 9 Equivalent Fractions Example : Find two fractions equivalent to 7
4 Fractions in Simplest Form Example 4: Write the following fractions in simplest form ONE and ZERO Example : YOU TRY 4. Reduce the fraction to lowest terms Rewrite the mixed number 1 4 as an improper fraction.. Rewrite the improper fraction as a mixed number Find two fractions equivalent to
5 Section 1.: Operations on Fractions Addition and Subtraction of Fractions Adding and Subtracting Fractions: 1. Rewrite mixed numbers and whole numbers as improper fractions.. Find a common denominator. Rewrite the fractions as equivalent fractions with the common denominator 4. Add or subtract the numerators. Be sure to reduce your answer to simplest form! Example 1: Perform the indicated operations 1 1 a. 11 b. 1 1 c. 4 1 = d. 6 8 =
6 Multiplication and Division of Fractions Multiplying Fractions: 1. Rewrite mixed numbers and whole numbers as improper fractions.. Multiply straight across (Multiply the numerators with the numerators, and the denominators with the denominators) NOTE: There is no need to find a common denominator when multiplying.. Be sure to reduce your answer to simplest form! Example : Multiply. Write your answers in simplest form a. b. 4 1 = 48 c. 7 8 = d Dividing Fractions: 1. Rewrite mixed numbers and whole numbers as improper fractions. NOTE: There is no need to find a common denominator when dividing.. Change the second fraction (the divisor) to its reciprocal. Multiply 4. Be sure to reduce your answer to simplest form! Example : Divide. Write your answers in simplest form 1 a. b. 4 8
7 Order of Operations with Fractions Example 4: Perform the indicated operations. 1 You Try 7. Perform the indicated operations. Each answer must be written as a reduced fraction. Where appropriate, write your answer as both a mixed number and an improper fraction. a. b. c. d. 1 e. 7 f
8
9 Section 1.4: Signed Numbers The Number Line Absolute Value The ABSOLUTE VALUE of a number is the distance that number is from 0 on the number line. Example 1: Find the absolute value: a. b. = c. d. 0 = MATHEMATICAL OPERATIONS WITH SIGNED NUMBERS Some hints for working with signed numbers: Use ( ) to separate numbers with negative signs When two signs are given together, use these rules to resolve the signs: ( )( ) = + ( )(+) = (+)( ) = (+)(+) = + Use the number line to add and subtract Example : Perform the indicated operations. a. + ( ) = b. + = c. ( ) = d. + ( ) = Example : Multiply and divide. a. ( )( 6)= b. ( 4)= c = d.
10 Example 4: Evaluate the following exponents: ( ) = = ( ) = = Example : Perform the indicated operations. 8 ( ) ( ) = SIMPLIFIED FORM FOR A SIGNED FRACTION The following fractions are all equivalent (meaning they have the same value): Notice that only the placement of the negative sign is different. 1 HOWEVER, only the last one,, is considered to be in simplest form. You Try 8. Find the absolute value: = 9. Perform the indicated operations. Show your work, and use your calculator to check. a. ( ) = b ( ) 4
11
Lesson 1: Arithmetic Review
In this lesson we step back and review several key arithmetic topics that are extremely relevant to this course. Before we work with algebraic expressions and equations, it is important to have a good
Lesson 1: Arithmetic Review
Lesson 1: Arithmetic Review Topics and Objectives: Order of Operations Fractions o Improper fractions and mixed numbers o Equivalent fractions o Fractions in simplest form o One and zero Operations on
Rational number operations can often be simplified by converting mixed numbers to improper fractions Add EXAMPLE:
Rational number operations can often be simplified by converting mixed numbers to improper fractions Add ( 2) EXAMPLE: 2 Multiply 1 Negative fractions can be written with the negative number in the numerator
A. Incorrect! To simplify this expression you need to find the product of 7 and 4, not the sum.
Problem Solving Drill 05: Exponents and Radicals Question No. 1 of 10 Question 1. Simplify: 7u v 4u 3 v 6 Question #01 (A) 11u 5 v 7 (B) 8u 6 v 6 (C) 8u 5 v 7 (D) 8u 3 v 9 To simplify this expression you
TI-84+ GC 3: Order of Operations, Additional Parentheses, Roots and Absolute Value
Rev 6--11 Name Date TI-84+ GC : Order of Operations, Additional Parentheses, Roots and Absolute Value Objectives: Review the order of operations Observe that the GC uses the order of operations Use parentheses
Section 2.3 Rational Numbers. A rational number is a number that may be written in the form a b. for any integer a and any nonzero integer b.
Section 2.3 Rational Numbers A rational number is a number that may be written in the form a b for any integer a and any nonzero integer b. Why is division by zero undefined? For example, we know that
1. To add (or subtract) fractions, the denominators must be equal! a. Build each fraction (if needed) so that both denominators are equal.
MAT000- Fractions Purpose One of the areas most frustrating for teachers and students alike is the study of fractions, specifically operations with fractions. Year after year, students learn and forget
CIV Module Unit Session Learning Objectives
CIV Module Unit Session Learning Objectives C IV Module: Essentials of Recognizing a Fraction 1. Learning that a fraction is a part of a whole through the use of area models C IV Module: Essentials of
Summer Assignment Glossary
Algebra 1.1 Summer Assignment Name: Date: Hour: Directions: Show all work for full credit using a pencil. Circle your final answer. This assignment is due the first day of school. Use the summer assignment
Integers are whole numbers; they include negative whole numbers and zero. For example -7, 0, 18 are integers, 1.5 is not.
What is an INTEGER/NONINTEGER? Integers are whole numbers; they include negative whole numbers and zero. For example -7, 0, 18 are integers, 1.5 is not. What is a REAL/IMAGINARY number? A real number is
The Bracket Strategy
The Bracket Strategy This strategy will show students how common denominators are actually found. This strategy should be done with fraction bars. Step Create a bracket X Step Fill in the bracket with
Chapter 4 Section 2 Operations on Decimals
Chapter 4 Section 2 Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers.
The simplest way to evaluate the expression is simply to start at the left and work your way across, keeping track of the total as you go:
ck 12 Chapter 1 Order of Operations Learning Objectives Evaluate algebraic expressions with grouping symbols. Evaluate algebraic expressions with fraction bars. Evaluate algebraic expressions with a graphing
Reteaching. Comparing and Ordering Integers
- Comparing and Ordering Integers The numbers and - are opposites. The numbers 7 and -7 are opposites. Integers are the set of positive whole numbers, their opposites, and zero. 7 6 4 0 negative zero You
1-6 Order of Operations
1-6 Order of Operations Warm Up Lesson Presentation Lesson Quiz 2 pts 3 pts Bell Quiz 1-6 Find each square root. 1. 25 Write all classifications that apply to each real number. 3. -55 5 pts possible Questions
Math Glossary Numbers and Arithmetic
Math Glossary Numbers and Arithmetic Version 0.1.1 September 1, 200 Next release: On or before September 0, 200. E-mail edu@ezlink.com for the latest version. Copyright 200 by Brad Jolly All Rights Reserved
Accuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) Example: parts
Objective Simplify expressions using the properties of exponents.
Pre-Algebra: Exponent Properties Objective Simplify expressions using the properties of exponents. Exponents are used to simplify expressions. For example, a*a*a*a*a*a*a is the expanded expression of a
Name: Date: Review Packet: Unit 1 The Number System
Name: Date: Math 7 Ms. Conway Review Packet: Unit 1 The Number System Key Concepts Module 1: Adding and Subtracting Integers 7.NS.1, 7.NS.1a, 7.NS.1b, 7.NS.1c, 7.NS.1d, 7.NS.3, 7.EE.3 To add integers with
Student Success Center Arithmetic Study Guide for the ACCUPLACER (CPT)
Fractions Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) is parts have a dot out of Proper fraction:
Fraction to Percents Change the fraction to a decimal (see above) and then change the decimal to a percent (see above).
PEMDAS This is an acronym for the order of operations. Order of operations is the order in which you complete problems with more than one operation. o P parenthesis o E exponents o M multiplication OR
Any Integer Can Be Written as a Fraction
All fractions have three parts: a numerator, a denominator, and a division symbol. In the simple fraction, the numerator and the denominator are integers. Eample 1: Find the numerator, denominator, and
Learning Log Title: CHAPTER 3: ARITHMETIC PROPERTIES. Date: Lesson: Chapter 3: Arithmetic Properties
Chapter 3: Arithmetic Properties CHAPTER 3: ARITHMETIC PROPERTIES Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Arithmetic Properties Date: Lesson: Learning Log Title:
3.3 Division of Fractions and of Mixed Numbers
CCBC Math 0 Division of Fractions and of Mixed Numbers Section.. Division of Fractions and of Mixed Numbers Introduction: http://youtu.be/fsdtivjjq What does it mean to divide? The basic division questions
Adding and Subtracting Integers
Quarterly 1 Review Sheet (NOTE: This may not include everything you need to know for tomorrow about every topic. It is student created and I am just sharing it in case you find it helpful) Page 1: Adding
ALGEBRA I Summer Packet
ALGEBRA I Summer Packet 2018-2019 Name 7 th Grade Math Teacher: Objectives for Algebra I Summer Packet I. Variables and translating (Problems #1 5) Write Algebraic Expressions Writing Algebraic Equations
3.1 Dividing a Whole into Fractional Parts. 3.1 Dividing a Set into Fractional Parts. 3.2 Identifying Parts of Wholes.
. Dividing a Whole into Fractional Parts Fraction: represents a part of a whole object or unit Numerator: (top number) represents number of parts of the whole Denominator: (bottom number) represents how
Iron County Schools. Yes! Less than 90 No! 90 No! More than 90. angle: an angle is made where two straight lines cross or meet each other at a point.
Iron County Schools 1 acute angle: any angle that is less than 90. Yes! Less than 90 No! 90 No! More than 90 acute triangle: a triangle where all the angles are less than 90 angle: an angle is made where
2.2 Order of Operations
2.2 Order of Operations Learning Objectives Evaluate algebraic expressions with grouping symbols. Evaluate algebraic expressions with fraction bars. Evaluate algebraic expressions using a graphing calculator.
- 0.8.00-0.8. 7 ANSWERS: ) : ) : ) : ) : 8 RATIO WORD PROBLEM EXAMPLES: Ratio Compares two amounts or values; they can be written in ways. As a fraction With a colon : With words to A classroom has girls
Multiplying and Dividing Rational Expressions
Page 1 of 14 Multiplying and Dividing Rational Expressions Attendance Problems. Simplify each expression. Assume all variables are nonzero. x 6 y 2 1. x 5 x 2 2. y 3 y 3 3. 4. x 2 y 5 Factor each expression.
Algebra II Chapter 8 Part 2: Rational Functions
Algebra II Chapter 8 Part 2: Rational Functions Chapter 8 Lesson 4 Multiply and Divide Rational Functions Vocabulary Words to Review: Reciprocal The rules of fractions DO NOT change! *When adding and subtracting,
I can statements for NBT 1-7 1st attempt 2nd attempt mastered
MATH NAME: I can statements for OA1-3 1st attempt Date 2nd attempt Date Mastered statement I can write expressions using parenthesis, brackets and braces based on wording such as add 5 and then divide
Unit 1 Integers, Fractions & Order of Operations
Unit 1 Integers, Fractions & Order of Operations In this unit I will learn Date: I have finished this work! I can do this on the test! Operations with positive and negative numbers The order of operations
Adding Integers with the Same Sign
Name Date Class - Adding Integers with the Same Sign How do you add integers with the same sign? Add 4 5. Add 4. Step Check the signs. Are the integers both positive or negative? 4 and 5 are both positive.
Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions Warm Up Simplify each expression. Assume all variables are nonzero. 1. x 5 x 2 3. x 6 x 2 x 7 Factor each expression. 2. y 3 y 3 y 6 x 4 4. y 2 1 y 5 y 3 5.
Decimals. Chapter Five
Chapter Five Decimals 5.1 Introductions to Decimals 5.2 Adding & Subtracting Decimals 5.3 Multiplying Decimals & Circumference of a Circle 5.4 Dividing Decimals 5.5 Fractions, Decimals, & Order of Operations
CHAPTER 1B: : Foundations for Algebra
CHAPTER B: : Foundations for Algebra 0-: Rounding and Estimating Objective: Round numbers. Rounding: To round to a given place value, do the following Rounding Numbers Round each number to the given place
Watkins Mill High School. Algebra 2. Math Challenge
Watkins Mill High School Algebra 2 Math Challenge "This packet will help you prepare for Algebra 2 next fall. It will be collected the first week of school. It will count as a grade in the first marking
Warm Up Simplify each expression. Assume all variables are nonzero.
Warm Up Simplify each expression. Assume all variables are nonzero. 1. x 5 x 2 3. x 6 x 2 x 7 x 4 Factor each expression. 2. y 3 y 3 y 6 4. y 2 1 y 5 y 3 5. x 2 2x 8 (x 4)(x + 2) 6. x 2 5x x(x 5) 7. x
Algebra Homework: Chapter 1 (Homework is listed by date assigned; homework is due the following class period) Day Date In-Class Homework
Algebra Homework: Chapter 1 (Homework is listed by date assigned; homework is due the following class period) Day Date In-Class Homework 1 T 8/30 Introductions Operations on Decimals Converting Decimals
( 3) ( 4 ) 1. Exponents and Radicals ( ) ( xy) 1. MATH 102 College Algebra. still holds when m = n, we are led to the result
Exponents and Radicals ZERO & NEGATIVE EXPONENTS If we assume that the relation still holds when m = n, we are led to the result m m a m n 0 a = a = a. Consequently, = 1, a 0 n n a a a 0 = 1, a 0. Then
1-3 Multiplying and Dividing Real Numbers
Multiplying and Dividing 1-3 Multiplying and Dividing Real Numbers Real Numbers Warm Up Lesson Presentation Lesson Quiz 1 2 pts Bell Quiz 1-3 Add or Subtract 1. 3 8 2 pts 2. - 8 + 12 2 pts 3. 4 (-4) 2
Algebra II Chapter 6: Rational Exponents and Radical Functions
Algebra II Chapter 6: Rational Exponents and Radical Functions Chapter 6 Lesson 1 Evaluate nth Roots and Use Rational Exponents Vocabulary 1 Example 1: Find nth Roots Note: and Example 2: Evaluate Expressions
8 th Grade Math Reference Sheet
8 th Grade Math Reference Sheet Number Sense DECIMALS NS 1 To change a DECIMAL FRACTION, use the place value of the decimal as the denominator of the fraction; simplify if. 1. Line up decimal points 2.
SUMMER REVIEW PACKET 2 FOR STUDENTS ENTERING ALGEBRA 1
SUMMER REVIEW PACKET FOR STUDENTS ENTERING ALGEBRA Dear Students, Welcome to Ma ayanot. We are very happy that you will be with us in the Fall. The Math department is looking forward to working with you
Slide 1 / 180. Radicals and Rational Exponents
Slide 1 / 180 Radicals and Rational Exponents Slide 2 / 180 Roots and Radicals Table of Contents: Square Roots Intro to Cube Roots n th Roots Irrational Roots Rational Exponents Operations with Radicals
WHOLE NUMBER AND DECIMAL OPERATIONS
WHOLE NUMBER AND DECIMAL OPERATIONS Whole Number Place Value : 5,854,902 = Ten thousands thousands millions Hundred thousands Ten thousands Adding & Subtracting Decimals : Line up the decimals vertically.
Algebra 1 Review. Properties of Real Numbers. Algebraic Expressions
Algebra 1 Review Properties of Real Numbers Algebraic Expressions Real Numbers Natural Numbers: 1, 2, 3, 4,.. Numbers used for counting Whole Numbers: 0, 1, 2, 3, 4,.. Natural Numbers and 0 Integers:,
(-,+) (+,+) Plotting Points
Algebra Basics +y (-,+) (+,+) -x +x (-,-) (+,-) Plotting Points -y Commutative Property of Addition/Multiplication * You can commute or move the terms * This only applies to addition and multiplication
Chapter 1: Number and Operations
Chapter 1: Number and Operations 1.1 Order of operations When simplifying algebraic expressions we use the following order: 1. Perform operations within a parenthesis. 2. Evaluate exponents. 3. Multiply
FUNDAMENTAL ARITHMETIC
FUNDAMENTAL ARITHMETIC Prime Numbers Prime numbers are any whole numbers greater than that can only be divided by and itself. Below is the list of all prime numbers between and 00: Prime Factorization
Fractions. Dividing the numerator and denominator by the highest common element (or number) in them, we get the fraction in its lowest form.
Fractions A fraction is a part of the whole (object, thing, region). It forms the part of basic aptitude of a person to have and idea of the parts of a population, group or territory. Civil servants must
ARITHMETIC EXPRESSION
Section 1: Expression & Terms MATH LEVEL 2 LESSON PLAN 1 ARITHMETIC EXPRESSION 2017 Copyright Vinay Agarwala, Revised: 10/31/17 1. An arithmetic expression is made up of numbers joined by addition (+),
Working with Algebraic Expressions
2 Working with Algebraic Expressions This chapter contains 25 algebraic expressions; each can contain up to five variables. Remember that a variable is just a letter that represents a number in a mathematical
We use the mnemonic P.E.M.D.A.S to help us remember the order of operations.
Section 1 4: The Order of Operations There is an agreed upon order in which the operations of exponents, multiplication, division, addition and subtraction are performed if there are several different
50 MATHCOUNTS LECTURES (6) OPERATIONS WITH DECIMALS
BASIC KNOWLEDGE 1. Decimal representation: A decimal is used to represent a portion of whole. It contains three parts: an integer (which indicates the number of wholes), a decimal point (which separates
Accuplacer Arithmetic Review
Accuplacer Arithmetic Review Hennepin Technical College Placement Testing for Success Page Overview The Arithmetic section of ACCUPLACER contains 7 multiple choice questions that measure your ability to
The Absolute Value Symbol
Section 1 3: Absolute Value and Powers The Absolute Value Symbol The symbol for absolute value is a pair of vertical lines. These absolute value brackets act like the parenthesis that we use in order of
6th Grade Arithmetic (with QuickTables)
6th Grade Arithmetic (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
Fractions Decimals Percents
1 Fractions Decimals Percents Name TAG 2 Fractions to Decimals There are ways to convert fractions to decimals. 1. Use place value 2. Using equivalent fractions with denominators of,, 0, etc.. Use long
Integer Operations. Summer Packet 7 th into 8 th grade 1. Name = = = = = 6.
Summer Packet 7 th into 8 th grade 1 Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16-2 + -6 = -8 If the signs are different, find the difference
What is a Fraction? Fractions. One Way To Remember Numerator = North / 16. Example. What Fraction is Shaded? 9/16/16. Fraction = Part of a Whole
// Fractions Pages What is a Fraction? Fraction Part of a Whole Top Number? Bottom Number? Page Numerator tells how many parts you have Denominator tells how many parts are in the whole Note: the fraction
Only to be used for arranged hours. Order of Operations
Math 84 Activity # 1 Your name: Order of Operations Goals: 1) Evaluate Real numbers with Exponents. ) Use the Order of Operations to Evaluate Expressions. ) Review Exponents and Powers of Ten Integer exponents
Pre Algebra 2. Student Goals. Curriculum Sample
Pre Algebra 2 Curriculum Sample A Grade Ahead s rigorous, year-round math enrichment program is designed to challenge your child to a higher academic standard. Our monthly curriculum includes mathematical
Evaluating Expressions Using the Order of Operations
Section 6. PRE-ACTIVITY PREPARATION Evaluating Expressions Using the Order of Operations Sales of admission tickets to the family concert were as follows: 50 adult tickets sold for $5 each, 00 youth tickets
Rational numbers as decimals and as integer fractions
Rational numbers as decimals and as integer fractions Given a rational number expressed as an integer fraction reduced to the lowest terms, the quotient of that fraction will be: an integer, if the denominator
Chapter 0, Pre-Algebra from Beginning and Intermediate Algebra by Tyler Wallace is available under a Creative Commons Attribution 3.
Chapter 0, Pre-Algebra from Beginning and Intermediate Algebra by Tyler Wallace is available under a Creative Commons Attribution 3.0 Unported license. 2010. 0.1 Pre-Algebra - Integers Objective: Add,
Integers and Rational Numbers
A A Family Letter: Integers Dear Family, The student will be learning about integers and how these numbers relate to the coordinate plane. The set of integers includes the set of whole numbers (0, 1,,,...)
Course Learning Outcomes for Unit I. Reading Assignment. Unit Lesson. UNIT I STUDY GUIDE Number Theory and the Real Number System
UNIT I STUDY GUIDE Number Theory and the Real Number System Course Learning Outcomes for Unit I Upon completion of this unit, students should be able to: 2. Relate number theory, integer computation, and
Change. Start. Result
Change Start Result Part Part Whole Thirteen Rules that Expire 1. When you multiply a number by 10 just add a zero to the end of the number. 2. Use keywords to solve word problems. 3. You can t take a
Summer Packet 7 th into 8 th grade. Name. Integer Operations = 2. (-7)(6)(-4) = = = = 6.
Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16 - + -6 = -8 If the signs are different, find the difference between the numbers and keep
HOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE
MCC6.NS. Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE Dividend A number that is divided by another number. Divisor A number by which another number
Achievement Level Descriptors Mathematics Grade 5
Achievement Level Descriptors Mathematics Grade 5 ALD Standard Level 2 Level 3 Level 4 Level 5 Policy demonstrate a below satisfactory level of success with the challenging content of the Florida Standards.
Beginning and Intermediate Algebra Chapter 0: Arithmetic
Beginning and Intermediate Algebra Chapter 0: Arithmetic An open source (CC-BY) textbook by Tyler Wallace 1 ? Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution
Multiply the dividend by the reciprocal of the divisor.
Domain Lesson 6 Complex Fractions Common Core Standards: 7.RP., 7.RP. Getting the Idea To divide fractions, first find the reciprocal of the divisor. Then multiply the dividend by the reciprocal of the
Grade 5 Math Performance Rubric
5 Grade 5 Math Performance Rubric Math Content Areas Operations and Algebraic Thinking Numbers and Operations in Base Ten Numbers and Operations Fractions Measurement and Data Geometry Operations and Algebraic
Section A Arithmetic ( 5) Exercise A
Section A Arithmetic In the non-calculator section of the examination there might be times when you need to work with quite awkward numbers quickly and accurately. In particular you must be very familiar
Introduction to Fractions
Introduction to Fractions Fractions represent parts of a whole. The top part of a fraction is called the numerator, while the bottom part of a fraction is called the denominator. The denominator states
Chapter 1 & 2 Calculator Test Study Guide
Chapter 1 & 2 Calculator Test Study Guide Powers and Exponents 1) To put a number to the second power, simply hit the x 2 key, then enter. 2) To put a number to the third or a higher power, key in base,
MATHEMATICS HOLIDAY WORK FOR S.1, S.2, S.3 AND S.4 WED, 08 TH JAN 2014.
MATHEMATICS HOLIDAY WORK FOR S., S., S. AND S. WED, 08 TH JAN 0. INSTRUCTIONS:. Read the notes below on fractions carefully and answer the exercise on pages and.. Note the mistakes pointed out and avoid
5th grade Math Teacher Companion Document
5th grade Math Teacher Companion Document Standard Beginning (1) Progressing (2) Proficient (3) Exceptional (4) Essential Idea Unable to perform the skill is even with able to perform the skill. Operations
Mathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Represent positive and negative values. Locate integers on the number line.
Mathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Integers on the Number Line Comparing and Ordering Integers Absolute Value Adding Integers with the Same Sign Adding Integers with Different
Radical Expressions LESSON. 36 Unit 1: Relationships between Quantities and Expressions
LESSON 6 Radical Expressions UNDERSTAND You can use the following to simplify radical expressions. Product property of radicals: The square root of a product is equal to the square root of the factors.
MATH REVIEW SUPPLEMENT. For The ARITHMETIC SECTION. of the. ACCUPLACER Entry Assessment
Assessment Center MATH REVIEW SUPPLEMENT For The ARITHMETIC SECTION of the ACCUPLACER Entry Assessment Visit The Assessment Center At http://www.stlcc.cc.mo.us/mc/services/assess/index.html This document
Chapter 1 Operations With Numbers
Chapter 1 Operations With Numbers Part I Negative Numbers You may already know what negative numbers are, but even if you don t, then you have probably seen them several times over the past few days. If
Lesson 1: THE DECIMAL SYSTEM
Lesson 1: THE DECIMAL SYSTEM The word DECIMAL comes from a Latin word, which means "ten. The Decimal system uses the following ten digits to write a number: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each time
Study Guide For use with pages
. GOAL For use with pages Write fractions as decimals and vice versa. VOCABULARY A rational number is a number that can be written as a quotient of two integers. In a terminating decimal, the division
Math 1 Variable Manipulation Part 2 Exponents & Roots
Math 1 Variable Manipulation Part 2 Exponents & Roots 1 PRE-ALGEBRA REVIEW: WORKING WITH EXPONENTS Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand
Radicals - Mixed Index
.7 Radicals - Mixed Index Knowing that a radical has the same properties as exponents (written as a ratio) allows us to manipulate radicals in new ways. One thing we are allowed to do is reduce, not just
1 Addition and Subtraction
Worsheet for 5.: Operations with Fractions Addition and Subtraction Adding/subtracting when there is a common denominator Draw a picture to work out each problem. Write your answer in lowest terms; if
Rational and Irrational Numbers
LESSON. Rational and Irrational Numbers.NS. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;... lso.ns.2,.ee.2? ESSENTIL QUESTION
Rules of Exponents Part 1[Algebra 1](In Class Version).notebook. August 22, 2017 WARM UP. Simplify using order of operations. SOLUTION.
.notebook. August 22, 2017 WARM UP. Simplify using order of operations. SOLUTION.](/thumbs/95/124127108.jpg "Rules of Exponents Part 1[Algebra 1](In Class Version).notebook. August 22, 2017 WARM UP. Simplify using order of operations. SOLUTION.")
WARM UP Simplify using order of operations. Aug 22 3:22 PM 1 Aug 22 4:09 PM 2 WARM UP a) The equation 3(4x) = (4x)3 illustrates which property? b) Which property of real numbers is illustrated by the equation
Grade 5: Concepts and Procedures Target A & B: Operations and Algebraic Thinking
Grade 5: Concepts and Procedures Target A & B: Operations and Algebraic Thinking Write numerical expressions having one set of parentheses, brackets, or braces. Graph whole number ordered pairs from two
Section 1.2 Fractions
Objectives Section 1.2 Fractions Factor and prime factor natural numbers Recognize special fraction forms Multiply and divide fractions Build equivalent fractions Simplify fractions Add and subtract fractions
Mathematics Grade 5 PA Alternate Eligible Content
Mathematics Grade 5 PA Content Grade 5 Mathematics Content Approved November 19, 2015 1 PA Reporting Category: M05.A-T Numbers and Operations in Base Ten CC.2.1.5.B.1 Apply place value concepts to show
2. If x = 3, then what is the. 1. If x = 4, then what is the value of x 2? We will evaluate 1 expressions by using the order of operations.
Learning Objective We will evaluate 1 expressions by using the order of operations. Name: February 18, 2014 Per: Common Core 7.AF1.2 Activate Prior Knowledge CFU Substitution means to replace a variable
MATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS Copyright Vinay Agarwala, Checked: 1/22/18
Section 1: The Decimal Number MATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS 2018 Copyright Vinay Agarwala, Checked: 1/22/18 1. The word DECIMAL comes from a Latin word, which means "ten. The Decimal system
6.2 Adding and Subtracting Rational Expressions
8 CHAPTER 6 Rational Epressions Simplify. Assume that no denominator is 0. 99. p - - p 00. + q n q n + n + k - 9 0. n 0. - 6 + k Perform the indicated operation. Write all answers in lowest terms. 0. 0.
For Module 2 SKILLS CHECKLIST. Fraction Notation. George Hartas, MS. Educational Assistant for Mathematics Remediation MAT 025 Instructor
Last Updated: // SKILLS CHECKLIST For Module Fraction Notation By George Hartas, MS Educational Assistant for Mathematics Remediation MAT 0 Instructor Assignment, Section. Divisibility SKILL: Determine