Rounding Decimals - Pearland ISD

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Name1.5?Number andOperations—5.2.CMATHEMATICAL PROCESSES5.1.A, 5.1.ERound DecimalsEssential QuestionHow can you use place value to round decimals toa given place?UnlockUnlock thethe ProblemProblemThe Gold Frog of South America is one of the smallestfrogs in the world. It is 0.386 of an inch long. What is thislength rounded to the nearest hundredth of an inch? Underline the length of the Gold Frog. Is the frog’s length about the sameas the length or the width of a largepaper clip?One Way Use a place-value chart. Write the number in a place-value chart and circle thedigit in the place value to which you want to round. In the place-value chart, underline the digit to theright of the place to which you are rounding. If the digit to the right is less than 5, the digit in theplace value to which you are rounding stays the same.If the digit to the right is 5 or greater, the digit in therounding place increases by 1.Ones0 Drop the digits after the place to which you are rounding. TenthsHundredthsThousandths386Think: Does the digit in the roundingplace stay the same or increase by 1?So, to the nearest hundredth of an inch, a Gold Frog is Houghton Mifflin Harcourt Publishing Company Image Credits: (tr) Purestock/Alamy Imagesabout of an inch long.Another Way Use place value.The Little Grass Frog is the smallest frog in North America.It is 0.437 of an inch long.A What is the length of the frog to the nearesthundredth of an inch?0.437 0.447 5B What is the length of the frog to the nearesttenth of an inch?0.437 0.43 5So, to the nearest hundredth of an inch, the frog isSo, to the nearest tenth of an inch, the frog is aboutabout of an inch long.of an inch long.Module 129

ShareShare andand ShowShowWrite the place value of the underlined digit. Round eachnumber to the place of the underlined digit.1. 0.6732. 4.2823. 12.917Name the place value to which each number was rounded.4. 0.982 to 0.985. 3.695 to 46. 7.486 to 7.5ProblemProblem SolvingSolvingWrite the place value of the underlined digit. Round eachnumber to the place of the underlined digit.7. 0.5928. 6.5189. 0.809Round 16.748 to the place named.11. hundredths13.Write MathExplain why any number less than 12.5 and greaterthan or equal to 11.5 would round to 12 when rounded to the nearestwhole number.14.Write Mathnearest tenth.3012. onesExplain what happens when you round 4.999 to the Houghton Mifflin Harcourt Publishing Company10. tenths

NameProblemProblem SolvingSolvingInsect Speeds (meters per second)Use the table for 15–18.15. The speeds of two insects when roundedto the nearest whole number are the same.Which two insects are ebee2.861Honeybee2.548Housefly1.96716. What is the speed of the housefly rounded tothe nearest hundredth?17. The speed of an insect is about 3.9 meters per Houghton Mifflin Harcourt Publishing Company Image Credits: (tr) Don Farrall/Getty Imagessecond. Which insect could it be?18.What’s the Error? Mark saidthat the speed of a dragonfly rounded to thenearest tenth was 6.9 meters per second. Is hecorrect? If not, what is his error?19.Multi-Step A rounded number for the speedof an insect is 5.67 meters per second. What are the fastestand slowest speeds to the thousandths that could round to5.67? Explain.Write MathShow Your WorkModule 1 Lesson 5 31

Mathematical ProcessesMModel Reason CommunicateMDailyDaily AssessmentAssessment TaskTaskFill in the bubble completely to show your answer.20. Chef Round uses 1.257 kilograms of meat for his famous meatballs.There are four packages at the market. Which amount is closest to1.257 kilograms?A1.26 kgB1.2 kgC1.3 kgD1.35 kg21. Representations The table shows the neck lengths for four giraffes inthe Long-Necked Friends Sanctuary. Which two giraffes have necks thatare the same length when rounded to the nearest tenth?ASpot and StretchGiraffe’s NameBMittens and SpotMittens5.632CMittens and StretchSpot5.725Stretch5.405DSpot and ZippyZippy5.657Neck Length (feet)22. Multi-Step Janis sells friendship bracelets at a fair. She has threeA16.5 cm, 16.76 cm, 16.6 cmB16.6 cm, 16.7 cm, 16.5 cmC16.5 cm, 16.8 cm, 16.6 cmD16.3 cm, 16.5 cm, 16.5 cmTEXAS Test Prep23. To which place value is the number rounded?6.706 to 6.7132AonesChundredthsBtenthsDthousandths Houghton Mifflin Harcourt Publishing Companybracelets that are 16.53 cm, 16.755 cm, and 16.55 cm long. Shewants to label the lengths to the nearest tenth of a centimeter.In order, how should she label the bracelets?

Number and Operations—5.2.CMATHEMATICAL PROCESSES 5.1.A, 5.1.EH o mewo rkand Practice1.5NameRound DecimalsWrite the place value of the underlined digit. Round eachnumber to the place of the underlined ound 8.293 to the place named.7. hundredths8. tenths9. onesRound 12.462 to the place named.10. tenths11. hundredths12. onesProblemProblem SolvingSolving13. What is Anita’s speed rounded to thenearest hundredth? Houghton Mifflin Harcourt Publishing Company14. The speeds of two runners when rounded to thenearest tenth are the same. Which two runnersare they?Runner Speeds (meters per hateel0.289Module 1 Lesson 533

TEXAS Test PrepLessonLesson CheckCheckFill in the bubble completely to show your answer.15. To which place value is the number rounded?16. To which place value is the number rounded?8.293 to 8.290.799 to thousandthsDthousandths17. Which number is 5.389 rounded to the nearest18. Which number is 7.323 rounded to the D5.399D7.3319. A baker uses 2.327 kilograms of blueberries for muffins. There are fourpackages at the fruit market. Which amount is closest to 2.327 kilograms?2.3 kgB2.42 kgC2.33 kgD2.4 kg20. Multi-Step The chart shows the length of eachstudent’s pencil. Which person has a pencillength that can be rounded up to the nearesttenth of an inch?34ALoriBPingCJasonDAnnieStudentPencil Length (inches)Lori6.61Ping5.055Jason4.91Annie6.5 Houghton Mifflin Harcourt Publishing CompanyA

In the place-value chart, underline the digit to the right of the place to which you are rounding. If the digit to the right is less than 5, the digit in the place value to which you are rounding stays the same. If the digit to the right is 5 or greater, the digit in the rounding place increases by 1.

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