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CONTENTSIntroductionviLetter to Parents and FamiliesviiWhat You’ll See in Measuring Up FoundationsviiiSALetter to StudentsChapter 1PLMೡUnderstand Place-Value PatternsೢMultiply Whole NumbersতণೣDivide Whole Numbersথণ Write and ઈnterpret Numerical ExpressionsদণChapter 2তDecimals Read, Write, and Compare Decimals೦Round Decimals೧Add and Subtract DecimalsEiiOperations and Whole Numbersধণনণ ণ
Chapter 2 (continued)Multiply Decimalsপণ೩Divide DecimalsফণSA೨Chapter 3Fractionsೡೠ Find Factors and MultiplesবণPLMೡೡ Add and Subtract Fractions with Unlike Denominatorsতণণೡೢ Multiply Whole Numbers by Fractionsততণೡೣ Multiply Fractions by Fractionsতথণೡ Divide Unit Fractions by Whole Numbersতদণೡ Divide Whole Numbers by Unit FractionsতধণEiii
Chapter 4Data, Measurement,and Geometryতনণೡ೧ Convert Measurement Units when Solving Problemsত ণೡ೨ Find Volume of Rectangular Prismsতপণೡ೩ Understand the Coordinate Plane and Ordered Pairsতফণೢೠ Use Pattern RulesতবণEPLMSAೡ೦ Make and Use Line Plotsiv
Lesson 6Round DecimalsIntroductionWhat Will I Learn? How do I round decimals to tenths and hundredths?SAYou can use the digits in place value to round decimals!PLMBreak Down the SkillsPlace value tells you the value of each digit in a number. Placevalue increases as you move left and decreases as you move right.value increases 10HundredsTensOnesTenthsHundredths.1value decreases( 10)10less than one wholeHundredsTensOnes26TenthsHundredths35.Any digits to the right of thedecimal point are less thanone whole.EDecimals are numbers that are less than one whole. A decimalpoint shows which part of a number is less than one whole.decimal pointYou round numbers to make calculations easier when you don’tneed an exact answer. You can round decimals by using the same process that you useto round whole numbers.Copying is prohibited.MUFnd Math Gr5 Lesson6 SE.indd 1Measuring Up Foundations Mathematics104-08-2021 16:48:34
Lesson 6 Round Decimals Look at what place value you are rounding to.The pattern for roundingnumbers doesn’t changewhen you round decimals. Look at the place to the right of where you are rounding. If the digit in that place is 0, 1, 2, 3, or 4, round down, notchanging the digit to the left. If the digit in that place is 5, 6, 7, 8, or 9, round your targetdigit up, increasing the digit by one. Round 0.45 to the nearest tenth:TensOnesTenthsHundredths45SAHundreds0.You are roundingto this place.HundredsTensOnes0.TenthsHundredths45PLMCheck the digit in thisplace. Is it 5 or ng upchanges this digitfrom a 4 to a 5.Yes! Round up.Rounding changesthis digit to azero. Round 2.724 to the nearest hundredth:HundredsTensOnes2Tenths.7E Rounding 0.45 to the nearest tenth is 0.5. You don’t write thehundredths place because it became a zero when you rounded tothe tenths place.Hundredths Thousandths24 Look to the digit to the right in the thousandths place. Because the digit in the thousandths place is a 4, you need toround down, meaning that the digit in the hundredths placedoes not change. 2.724 rounded to the nearest hundredth is 2.72.2MUFnd Math Gr5 Lesson6 SE.indd 2Level ECopying is prohibited.04-08-2021 16:48:39
Chapter 2 DecimalsGuided InstructionYou can compare decimals to the hundredths place by using placevalue and , , . Compare 45.60 and 45.71. Fill in the circle withthe correct symbol.45.63 45.71 same tens45.63 45.71 same ones45.71 different tenths: 0.7 is larger than 0.6, so 45.71is greater.SA45.63You can use place value to round whole numbers.When you round wholenumbers, all the digits to theright of what you roundedbecome zero.If the digit to the right of the place that you’re rounding to is 0, 1, 2,3, or 4, you round down.Round 1,235 to the nearest hundred:If the digit to the right of the place that you’re rounding to is 5, 6, 7,8, or 9, you round up.PLMRound 4,713 to the nearest thousand:You can round decimals by using the same strategies as roundingwhole numbers.Round 0.28 to the nearest tenth:Look to the place to the right of what you are rounding to. Youhave an 8 in the hundredths place, so you need to round.HundredsTensOnes0TenthsHundredths28.Write the rounded number in the place-value chart:HundredsTensOnesHundredths0.E0TenthsBecause the hundredths place now has a zero, you do not need towrite it in your final answer.0.28 rounded to the nearest tenth is.Round 0.43 to the nearest tenth in the chart and on the blank below.HundredsTensOnes0MUFnd Math Gr5 Lesson6 SE.indd 3Hundredths0.0.43 rounded to the nearest tenth isCopying is prohibited.Tenths.Measuring Up Foundations Mathematics304-08-2021 16:48:39
Lesson 6 Round DecimalsRound 0.351 to the nearest hundredth:Look to the place to the right of what you are rounding to. Youhave a in the thousandths place, so you need to roundHundredsTensOnes0Tenths.Hundredths Thousandths35Write the rounded number in the place-value chart:TensOnesTenthsSAHundreds0.Hundredths Thousandths30Because the thousandths place now has a zero, you do not need towrite it in your final answer:0.351 rounded to the nearest hundredth is.Round 0.947 to the nearest hundredth:HundredsTensOnesTenthsHundredths ThousandthsPLM0.900.947 rounded to the nearest hundredth is.Round up if the digit is 5, 6,7, 8, or 9.Round 0.516 to the nearest hundredth:0.516 rounded to the nearest hundredth isHundredsTensOnes0.TenthsHundredths Thousandths0.You use the same process to round numbers that include wholenumbers and decimals.Round 41.68 to the nearest tenth:HundredsTensOnes41Tenths.Hundredths6ELook to the place to the right of what you’re rounding to. You havean in the hundredths place, so you need to round.Write the rounded number in the place-value chart:HundredsTensOnes4141.68 rounded to the nearest tenth is4MUFnd Math Gr5 Lesson6 SE.indd 4TenthsHundredths.Level ECopying is prohibited.04-08-2021 16:48:40
Chapter 2 DecimalsUse the pattern for rounding numbers to solve the following problems.Look at what place value you are asking to round to.Look at the place to the right of where you are rounding.If the digit in that place is 0, 1, 2, 3, or 4, round down, not changingthe digit to the left.If the digit in that place is 5, 6, 7, 8, or 9, round your target digit up,increasing the digit by one.SARound 8.351 to the nearest tenth:HundredsTensOnesTenths0.8.351 rounded to the nearest tenth isRound down if the digit is 0,1, 2, 3, or 4.Hundredths.Round 16.439 to the nearest hundredth:HundredsTensTenthsHundredths ThousandthsPLM1Ones60.16.439 rounded to the nearest hundredth is.Round 320.188 to the nearest hundredth:HundredsTensOnes320TenthsHundredths Thousandths0.320.188 rounded to the nearest hundredth is.Round 34.976 to the nearest tenth:HundredsTensOnesTenthsHundredths Thousandths0.E34.976 rounded to the nearest tenth is.Round 58.371 to the nearest hundredth:HundredsTensOnesTenthsHundredths Thousandths0.58.371 rounded to the nearest hundredth is.Round 8.09 to the nearest tenth:Round 743.024 to the nearest hundredth:Copying is prohibited.MUFnd Math Gr5 Lesson6 SE.indd 5Measuring Up Foundations Mathematics504-08-2021 16:48:40
Lesson 6 Round DecimalsIndependent PracticeAnswer the questions that follow.Practice 11What is 4.54 rounded to the nearest tenth?A4.4SA2B4.5C4.6D4.55TensPLMOn the place-value chart, circle the digit to check to decidewhether you round up or down when rounding to 0.481 tothe nearest hundredth.HundredsOnes0Tenths.Hundredths Thousandths43Round 12.473 to the nearest hundredth.4What is 5.563 rounded to the nearest hundredth?A5.56B5.55C5.6D5.5781E5When you round fromhundredths to tenths,your final answer does notinclude the zero in thehundredths place.Round 312.982 to the nearest hundredth.6MUFnd Math Gr5 Lesson6 SE.indd 6Level ECopying is prohibited.04-08-2021 16:48:44
Chapter 2 DecimalsPractice 21On the place-value chart, circle the digit to check to decidewhether you round up or down when rounding to 0.73 to thenearest tenth.HundredsTensOnes0Tenths.Hundredths Thousandths7Rounding makescalculations easierwhen you don’t needan exact answer.3SA2What is 8.61 rounded to the nearest tenth?8.5B8.1C8.6D8.73Round 45.885 to the nearest hundredth.4Round 0.98 to the nearest tenth.5What is 4.186 rounded to the nearest hundredth?A4.2B4.18C4.10D4.19Copying is prohibited.MUFnd Math Gr5 Lesson6 SE.indd 7EPLMAMeasuring Up Foundations Mathematics704-08-2021 16:48:44
Lesson 6 Round DecimalsExit TicketJuan collected data on how long a hummingbird stopped at hisbird feeder in his backyard. He wants to add up how long it spentat his feeder each week. To make his calculations easier, he decidesto round his data to the nearest tenth. Complete Juan’s table byrounding each value to the nearest tenth.Time Spent at the 43Thursday12.71Time Rounded to theNearest TenthFridaySaturdaySundayPLMSADay of the Week23.9741.6931.62The serial number on Juan’s bird feeder is 31.692. Juan says it ishis lucky number. What is his lucky number rounded to the nearesthundredth?On which day is the hummingbird time closest to Juan’slucky number?E8MUFnd Math Gr5 Lesson6 SE.indd 8Level ECopying is prohibited.04-08-2021 16:48:44
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