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4–5EXAMPLE Find the LCMREVIEW ITWhy is the number 1neither prime norcomposite? (Lesson 1-2)Find the LCM of 8 and 18.Write the prime factorizations of each number. Identify allcommon prime factors.8 = 2 × 2 × 218 = 2 × 3 × 3Find the product of the prime factors using each common primefactor only once and any remaining factors. The LCM is× × × × or 72.Check Your Progress Find the LCM of 9 and 21.EXAMPLEHOMEWORKASSIGNMENTPage(s):Exercises:MONEY Liam, Eva, and Brady each have the sameamount of money. Liam has only nickels, Eva has onlydimes, and Brady has only quarters. What is the leastamount of money that each of them could have?Find the LCM using prime factors.5×10×The least amount of money that each of them could have is× × or .Check Your Progress CANDY Michael, Logan, and Diegoeach have bags of candy that have the same total weight.Michael’s bag has candy bars that each weigh 4 ounces, Logan’sbag has candy bars that each weigh 6 ounces, and Diego’s baghas candy bars that each weigh 9 ounces. What is the leasttotal weight that each of them could have?25×Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.98 Math Connects, Course 1
4–6 Comparing and Ordering FractionsMAIN IDEA• Compare and orderfractions.BUILD YOUR VOCABULARY (pages 86–87)The least common denominator (LCD) of twois thethe denominators.ofKEY CONCEPTCompare Two FractionsTo compare two fractions,• Find the least commondenominator (LCD) ofthe fractions. That is,find the least commonmultiple of thedenominators.EXAMPLES Compare Fractions and Mixed NumbersReplace each with , or = to make a true sentence.8_21 _ 3 7Step 1 Find the LCD; that is, the LCM of the denominators.multiples of 7:Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.• Write an equivalentfraction for eachfraction using the LCD.• Compare thenumerators.multiples of 21:The LCM of 21 and 7 is . So, the LCD is .Step 2 Write an equivalent fraction with a denominator of× 33_7 = __× 3for each fraction.× 1__ 8= __× 1Step 38_219_21 since 8 < 9. So, _ 8213_7 .Math Connects, Course 1 99
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ContentsCopyright © Glencoe/McGraw
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1-5 Algebra: Variables and Expressi
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C H A P T E R1 Number Patterns and
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Chapter 1 BUILD YOUR VOCABULARYVoca
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1-2 Prime FactorsMAIN IDEA• Find
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1-3Powers and ExponentsMAIN IDEA•
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1-4 Order of OperationsMAIN IDEA•
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1-4ORGANIZE ITOn the Lesson 1-4 tab
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1-5REMEMBER ITIn algebra, thesymbol
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1-6EXAMPLE Find the Rule for a Func
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1-8 Algebra: EquationsMAIN IDEA•
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1-9Algebra: Area FormulasMAIN IDEA
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Chapter 1 BRINGING IT ALL TOGETHER1
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C H A P T E R1ChecklistARE YOU READ
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P T A E RH C2BUILD YOUR VOCABULARYT
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2-1 Problem-Solving Investigation:M
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2-2Step 1 Decide on a scale and . T
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2-2Check Your Progress SNOWFALL Mak
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2-3Check Your Progress INCOME The a
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2-4ORGANIZE ITUnder Lesson 2-4 in y
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2-5 Line PlotsEXAMPLE Display Data
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2-6 MeanMAIN IDEA• Find the mean
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2-7 Median, Mode, and RangeMAIN IDE
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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
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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
Page 69 and 70: 3-3 Rounding DecimalsEXAMPLE Round
Page 71 and 72: 3-4 Estimating Sums and Differences
Page 73 and 74: 3-4Read the ItemThe addends are clu
Page 75 and 76: 3-5WRITE ITExplain in your ownwords
Page 77 and 78: 3-6 Multiplying Decimals by Whole N
Page 79 and 80: 3-7Multiplying DecimalsEXAMPLES Mul
Page 81 and 82: 3-8Dividing Decimals by Whole Numbe
Page 84 and 85: 3-9EXAMPLES Zeros in the Quotient a
Page 86 and 87: 3-10 Problem-Solving Investigation:
Page 92 and 93: C H A P T E R3ChecklistARE YOU READ
Page 94 and 95: C H A P T E R4BUILD YOUR VOCABULARY
Page 96 and 97: 4-1A Plan for Problem SolvingMAIN I
Page 98 and 99: 4-1EXAMPLESWRITE ITWhy is the great
Page 100 and 101: 4-2BUILD YOUR VOCABULARY (pages 86-
Page 102 and 103: 4-3 Mixed Numbers and Improper Frac
Page 104 and 105: 4-4 Problem-Solving Investigation:M
Page 108 and 109: 4-6ORGANIZE ITSummarize ways you ca
Page 110 and 111: 4-7 Writing Decimals as FractionsMA
Page 112 and 113: 4-8 Writing Fractions as DecimalsMA
Page 114 and 115: 4-9Algebra: Ordered Pairs and Funct
Page 116 and 117: 4-9EXAMPLESPETS Amelia feeds her do
Page 118 and 119: Chapter 4 BRINGING IT ALL TOGETHERM
Page 122 and 123: C H A P T E R5Operations with Fract
Page 124 and 125: 5-1 Rounding Fractions and Mixed Nu
Page 126 and 127: 5-2Problem-Solving Investigation: A
Page 128 and 129: 5-3®ORGANIZE ITUse the note cards
Page 130 and 131: 5-4Check Your Progresssimplest form
Page 132 and 133: 5-5 Adding and Subtracting Mixed Nu
Page 134 and 135: 5-5REMEMBER ITUse estimation tochec
Page 136 and 137: 5-6REMEMBER ITPlacing fractions ona
Page 138 and 139: 5-7EXAMPLE Simplify Before Multiply
Page 140 and 141: 5-8Check Your Progress WEIGHT A bag
Page 142 and 143: 5-9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5
Page 144 and 145: 5-10EXAMPLEADVENTURE RACING A team
Page 150 and 151: C H A P T E R5ChecklistARE YOU READ
Page 152 and 153: C H A P T E R6BUILD YOUR VOCABULARY
Page 154 and 155: 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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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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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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C H A P T E R8ChecklistARE YOU READ
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C H A P T E R9BUILD YOUR VOCABULARY
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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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