Rounding is a mathematical process that converts a specific number to an easier, approximate value. While not exact, rounded numbers provide estimates that are close to the original values, making calculations and number comprehension more manageable. Rounding helps simplify mathematical operations, improves the ability to remember large numbers, and facilitates quick mental estimation in everyday situations.
When rounding to the nearest tens specifically, we focus on the digit in the ones place to determine whether to round up or down. If the ones digit is between 0 and 4, we round down by replacing it with 0 and keeping the tens digit unchanged. If the ones digit is between 5 and 9, we round up by replacing it with 0 and increasing the tens digit by 1. Any digits to the right of the ones place are removed in the final rounded number.
Examples of Rounding to the Nearest Tens Example 1: Rounding a Three-Digit Number to the Nearest Ten Problem:Round 523 to the nearest ten.
Step-by-step solution: Step 1, identify the ones digit and tens digit in the number 523. The ones digit is 3 The tens digit is 2 Step 2, determine whether to round up or down: Since the ones digit (3) is between 0 and 4, we round down. Step 3, replace the ones digit with 0: Replace 3 with 0 Keep the tens digit unchanged at 2 Step 4, our rounded number becomes 520. Example 2: Rounding a Decimal Number to the Nearest Ten Problem:Round 147.32 to the nearest ten.
Step-by-step solution: Step 1, identify the ones digit and tens digit in 147.32. The ones digit is 7 The tens digit is 4 Step 2, determine whether to round up or down: Since the ones digit (7) is between 5 and 9, we need to round up. Step 3, replace the ones digit with 0 and increase the tens digit: Replace 7 with 0 Increase the tens digit from 4 to 5 Step 4, for decimal numbers like 147.32, we remove all digits to the right of the ones place. Step 5, our rounded number becomes 150. Example 3: Rounding with Carrying to the Next Place Value Problem:Round 195.278 to the nearest ten.
Step-by-step solution: Step 1, identify the ones digit and tens digit in 195.278. The ones digit is 5 The tens digit is 9 Step 2, determine whether to round up or down: Since the ones digit (5) is between 5 and 9, we need to round up. Step 3, replace the ones digit with 0 and increase the tens digit: Replace 5 with 0 Increase the tens digit from 9 to 10 Step 4, when the tens digit becomes 10 after adding 1, we: Keep 0 in the tens place Carry 1 to the hundreds place Add this 1 to the existing hundreds digit (1), resulting in 2 hundreds Step 5, remove all digits to the right of the ones place (i.e., 2, 7, and 8). Step 6, our rounded number becomes 200. Comments(7)MMechanicTomNovember 6, 2025I've used this to teach my students rounding to the nearest tens. The examples made it super easy for them to grasp! Thanks!NNatureLover85September 17, 2025This page was super helpful for explaining rounding to my kids! The examples made it easy for them to grasp when to round up or down. Definitely bookmarking it for future math lessons!NNatureLover87September 10, 2025Loved how clear the explanation was! I used the examples to help my kids practice rounding, and they caught on so quickly. It’s a great resource for teaching tricky math concepts!NNatureLover89August 27, 2025I used the 'Round to the Nearest Tens' examples from this page to help my son with his homework, and it made a huge difference! The clear steps and tips on handling decimals were super helpful. Thanks for simplifying this tricky concept!MMomOfAdventureAugust 20, 2025I used the 'Round to the Nearest Tens' explanation for my 3rd grader, and it made a huge difference! The examples were super clear, and now she’s rounding numbers like a pro. Thanks for simplifying it!svg]:px-3 dk:w-auto h-10 dk:h-14 rounded-lg dk:rounded-[15px] px-5 dk:px-7.5 text-sm dk:text-xl text-[#3467FF] bg-white hover:bg-white">Load MoreExplore More TermsDecimal to BinaryFibonacci SequenceFootFractionMixed Number to Improper FractionSubtraction With RegroupingView All Math TermsRecommended Interactive LessonsFind the value of each digit in a four-digit number3Math3.NBT.AFind Equivalent Fractions Using Pizza Models3Math3.NF.A.3.a, 3.NF.A.3.bUse Arrays to Understand the Associative Property3Math3.OA.B.5Find Equivalent Fractions with the Number Line3Math3.NF.A.3.a, 3.NF.A.3.bWord Problems: Addition, Subtraction and Multiplication3Math3.OA.D.8Understand division: number of equal groups3Math2.OA.CView All Interactive LessonsRecommended VideosCompare Numbers to 10KMathK.CC.C.7Understand Equal Parts1Math1.G.A.3Odd And Even Numbers2Math2.OA.C.3Points, lines, line segments, and rays4Math4.G.A.1Use Models and The Standard Algorithm to Divide Decimals by Whole Numbers5Math5.NBT.B.7Reflect Points In The Coordinate Plane6Math6.NS.C.6bView All VideosRecommended WorksheetsPartner Numbers And Number BondsKMathK.OA.A.3Use the standard algorithm to add within 1,0002Math2.NBT.B.7Add up to Four Two-Digit Numbers2Math2.NBT.B.6Subtract 10 And 100 Mentally2Math2.NBT.B.8Find Angle Measures by Adding and Subtracting4Math4.MD.C.7Understand Thousandths And Read And Write Decimals To Thousandths5Math5.NBT.A.3aView All WorksheetsRecommended Coloring PagesBison standing with a simple outline of mountains in the backgroundPre-K – KAll SubjectsLove letter with two birds holding it in their beaks1 – 2All SubjectsRussian Blue Cat sitting on a windowsill looking out1 – 2All SubjectsWaffle topped with strawberries and whipped cream1 – 2All SubjectsGuava fruit hanging from a tree branch with leaves3 – 4All SubjectsA dog cowboy chasing bandits on horseback with a hat, boots, a lasso, and detailed scenery including mountains and a river5 – 6All SubjectsView All Coloring PagesRecommended BlogsView All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.智能索引记录
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