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1–3Powers and ExponentsMAIN IDEA• Use powers andexponents inexpressions.BUILD YOUR VOCABULARY (pages 2–3)A product offactors can be written using anexponent and a base.2 5Numbers expressed usingare calledpowers. Three to the second power or three squaredis 3 × 3, or. Ten to the third power or ten cubed is10 × 10 × 10, or .EXAMPLES Write Powers and Products®Write 5 × 5 × 5 × 5 using an exponent.ORGANIZE ITOn the Lesson 1-3 tab,write a power. Thenwrite the power as aproduct of primes. Labelall the parts.WRITE ITExplain what 3 1 means.The base is . Since is a factor times, theexponent is . 5 × 5 × 5 × 5 =Write 8 3 as a product of the same factor. Then find thevalue.The base is . The exponent is . So, is a factortimes. 8 3 = orCheck Your Progressa. Write 4 × 4 × 4 × 4 × 4 × 4 × 4 using an exponent.b. Write 6 4 as a product of the same factor. Then find the value.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.8 Math Connects, Course 1
1–3EXAMPLEELEVATIONS The highest point in Utah is King’s Peak.It stands just a bit higher than 4 6 meters. What is thiselevation?Write 4 6 as a . Then find the of theproduct.4 6 ==So, the elevation of King’s Peak is about .Check Your Progress SWIMMING POOL The length ofa new swimming pool being built at the community recreationcenter is listed as 2 6 feet. What is the length of the new pool?Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:EXAMPLES Prime Factorization Using ExponentsWrite the prime factorization of each number usingexponents.108108 = Write the prime factorization.80= Write products of identicalfactors using exponents.80 = Write the prime factorization.= Write products of identicalfactors using exponents.Check Your Progress Write the prime factorization ofeach number using exponents.a. 144 b. 162Math Connects, Course 1 9
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 18 and 19: 1-4 Order of OperationsMAIN 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
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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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