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1–4 Order of OperationsMAIN IDEA• Find the value ofexpressions using theorder of operations.BUILD YOUR VOCABULARY (pages 2–3)A numerical expression is a combination ofand .The order of operations tells which operation to performfirst so that everyone gets the same .EXAMPLES Use Order of OperationsKEY CONCEPTOrder of Operations1. Simplify theexpressions insidegrouping symbols,like parentheses.2. Find the value of allpowers.3. Multiply and dividein order from left toright.4. Add and subtract inorder from left toright.Find the value of each expression.30 - 10 + 930 - 10 + 9 = 20 + Subtract from fi rst.= Add and .4 + (10 - 3)4 + (10 - 3) = Subtract 3 from 10.= Add and .Check Your Progress Find the value of eachexpression.a. 21 - 6 + 9 b. 6 + (8 - 4)Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.10 Math Connects, Course 1
1–4WRITE ITWhy is it importantto have an order ofoperations whenevaluating expressions?EXAMPLES Parentheses and ExponentsFind the value of each expression.90 ÷ 3 + (3 - 2) - 2090 ÷ 3 + (3 - 2) - 20= 90 ÷ 3 + - 20 Subtract from .= - 20 Divide by .= Add and .= Subtract from .REVIEW ITShow 4 cubed as a powerand then as a product offactors. What is the valueof the number?(Lesson 1–3)4 3 + 5 × 2 - 14 3 + 5 × 2 - 1= + 5 × 2 - 1 Find .= - 1 Multiply and .Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.= Add and .= Subtract from .Check Your Progress Find the value of eachexpression.a. 85 ÷ 5 + 14 × (12 - 8)b. 4 × 2 4 + 7Math Connects, Course 1 11
Page 3: ContentsCopyright © Glencoe/McGraw
Page 7 and 8: 1-5 Algebra: Variables and Expressi
Page 9 and 10: C H A P T E R1 Number Patterns and
Page 11: Chapter 1 BUILD YOUR VOCABULARYVoca
Page 14 and 15: 1-2 Prime FactorsMAIN IDEA• Find
Page 16 and 17: 1-3Powers and ExponentsMAIN IDEA•
Page 20 and 21: 1-4ORGANIZE ITOn the Lesson 1-4 tab
Page 22 and 23: 1-5REMEMBER ITIn algebra, thesymbol
Page 24 and 25: 1-6EXAMPLE Find the Rule for a Func
Page 26 and 27: 1-8 Algebra: EquationsMAIN IDEA•
Page 28 and 29: 1-9Algebra: Area FormulasMAIN IDEA
Page 31 and 32: Chapter 1 BRINGING IT ALL TOGETHER1
Page 33 and 34: C H A P T E R1ChecklistARE YOU READ
Page 35 and 36: P T A E RH C2BUILD YOUR VOCABULARYT
Page 37 and 38: 2-1 Problem-Solving Investigation:M
Page 39 and 40: 2-2Step 1 Decide on a scale and . T
Page 41 and 42: 2-2Check Your Progress SNOWFALL Mak
Page 43 and 44: 2-3Check Your Progress INCOME The a
Page 45 and 46: 2-4ORGANIZE ITUnder Lesson 2-4 in y
Page 47 and 48: 2-5 Line PlotsEXAMPLE Display Data
Page 49 and 50: 2-6 MeanMAIN IDEA• Find the mean
Page 51 and 52: 2-7 Median, Mode, and RangeMAIN IDE
Page 53 and 54: 2-7ORGANIZE ITUnder Lesson 2-7 in y
Page 55 and 56: 2-8EXAMPLESSelect an appropriatetyp
Page 57 and 58: 2-9Check Your ProgressGraph -5 on a
Page 59 and 60: Chapter 2 BRINGING IT ALL TOGETHER2
Page 61 and 62: Chapter 2 BRINGING IT ALL TOGETHERW
Page 63 and 64: C H A P T E R3Operations with Decim
Page 65 and 66: 3-1Representing DecimalsMAIN IDEA
Page 67 and 68: 3-2Comparing and Ordering DecimalsM
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3-3 Rounding DecimalsEXAMPLE Round
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3-4 Estimating Sums and Differences
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3-4Read the ItemThe addends are clu
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3-5WRITE ITExplain in your ownwords
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3-6 Multiplying Decimals by Whole N
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3-7Multiplying DecimalsEXAMPLES Mul
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3-8Dividing Decimals by Whole Numbe
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3-9EXAMPLES Zeros in the Quotient a
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3-10 Problem-Solving Investigation:
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Chapter 3 BRINGING IT ALL TOGETHER3
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C H A P T E R3ChecklistARE YOU READ
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C H A P T E R4BUILD YOUR VOCABULARY
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4-1A Plan for Problem SolvingMAIN I
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4-1EXAMPLESWRITE ITWhy is the great
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4-2BUILD YOUR VOCABULARY (pages 86-
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4-3 Mixed Numbers and Improper Frac
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4-4 Problem-Solving Investigation:M
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4-5EXAMPLE Find the LCMREVIEW ITWhy
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4-6ORGANIZE ITSummarize ways you ca
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4-7 Writing Decimals as FractionsMA
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4-8 Writing Fractions as DecimalsMA
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4-9Algebra: Ordered Pairs and Funct
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4-9EXAMPLESPETS Amelia feeds her do
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Chapter 4 BRINGING IT ALL TOGETHERM
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C H A P T E R5Operations with Fract
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5-1 Rounding Fractions and Mixed Nu
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5-2Problem-Solving Investigation: A
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5-3®ORGANIZE ITUse the note cards
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5-4Check Your Progresssimplest form
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5-5 Adding and Subtracting Mixed Nu
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5-5REMEMBER ITUse estimation tochec
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5-6REMEMBER ITPlacing fractions ona
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5-7EXAMPLE Simplify Before Multiply
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5-8Check Your Progress WEIGHT A bag
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5-9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5
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5-10EXAMPLEADVENTURE RACING A team
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6-1 Ratios and RatesMAIN IDEA• Ex
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6-2 Ratio TablesMAIN IDEA• Use ra
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6-2BUILD YOUR VOCABULARY (pages 144
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6-3FOOD You can buy 3 medium pizzas
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6-4Algebra: Solving ProportionsEXAM
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6-4EXAMPLE Solve Using Unit RatesWA
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6-6 Sequences and ExpressionsMAIN I
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6-6EXAMPLETEST EXAMPLE The table sh
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6-7Write an equation to find the to
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C H A P T E R6BRINGING IT ALL TOGET
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C H A P T E R7Percent and Probabili
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Chapter 7 BUILD YOUR VOCABULARYVoca
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7-1Check Your Progress Write each p
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7-2Circle GraphsMAIN IDEA• Sketch
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7-2Which two methods of transportat
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7-3EXAMPLES Write a Decimal as a Pe
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7-5Sample SpacesBUILD YOUR VOCABULA
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7-6REVIEW ITUse mental math to solv
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7-8 Estimating with PercentsMAIN ID
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7-8EXAMPLETEST EXAMPLE Clairesurvey
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C H A P T E R8Systems of Measuremen
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Chapter 8 BUILD YOUR VOCABULARYVoca
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8-1Check Your Progress CRAYONS Meas
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8-2EXAMPLES Change Units of WeightE
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8-3REMEMBER ITOne centimeter isabou
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8-4Check Your Progress Write the me
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8-6 Changing Metric UnitsEXAMPLES C
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8-7Measures of TimeEXAMPLE Add Unit
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8-8EXAMPLES Give Reasonable Tempera
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9-1 Measuring AnglesMAIN IDEA• Me
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203015030150170109-2Estimating and
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9-3Angle RelationshipsMAIN IDEA•
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9-4 TrianglesBUILD YOUR VOCABULARY
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9-4EXAMPLES Classify a Triangle by
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9-7 Similar and Congruent FiguresMA
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9-7EXAMPLE Identify Similar Figures
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P T A E RH C9ChecklistARE YOU READY
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C H A P T E R10BUILD YOUR VOCABULAR
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10-1PerimeterMAIN IDEA• Find the
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10-2Circles and CircumferenceMAIN I
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10-2Check Your Progress Use a calcu
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10-3Check Your Progress Find the ar
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10-4®ORGANIZE ITWrite the formula
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10-6Volume of Rectangular PrismsMAI
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10-7Surface Area of Rectangular Pri
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C H A P T E R10BRINGING IT ALL TOGE
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Chapter 10 BRINGING IT ALL TOGETHER
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C H A P T E R11Integers and Transfo
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11-1 Ordering IntegersEXAMPLE Compa
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11-2Adding IntegersEXAMPLES Add Int
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11-2KEY CONCEPTAdding Integers The
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11-3WRITE ITThink about the numberl
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11-4Multiplying IntegersEXAMPLES Mu
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11-6Dividing IntegersEXAMPLES Divid
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11-6EXAMPLETEST EXAMPLE A scuba div
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11-7point SStep 1 Start at the orig
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11-8EXAMPLE Graph a TranslationTran
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11-9 ReflectionsMAIN IDEA• Graph
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11-10 RotationsMAIN IDEA• Graph r
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C H A P T E R12Algebra: Properties
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12-1The Distributive PropertyMAIN I
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12-2Simplifying Algebraic Expressio
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12-3Solving Addition EquationsMAIN
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12-1 12-3BUILD YOUR VOCABULARY (pag
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12-4BUILD YOUR VOCABULARY (page 292
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12-5EXAMPLE Solve a Multiplication
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