温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/Whole-Numbers-Definition-Examples
点击访问原文链接

Whole Numbers: Definition and Example | EDU.COM

进入原网站 导航首页
Whole Numbers: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Whole NumbersWhole Numbers: Definition and ExampleTable of ContentsDefinition of Whole Numbers

Whole numbers are a fundamental mathematical concept representing the collection of all natural numbers (counting numbers) and zero. The set of whole numbers, denoted by 'W', includes 0 and all positive integers (1, 2, 3, 4, 5, and so on). While natural numbers begin from 1, whole numbers start from 0. On a number line, whole numbers are positioned at equal intervals starting from zero and extending indefinitely to the right, with each number having a specific position.

Whole numbers possess several unique characteristics. The smallest whole number is 0, which has no predecessor. There is no largest whole number as the sequence continues infinitely. Every whole number except 0 has an immediate predecessor. It's important to note that decimal numbers or fractions that fall between two whole numbers are not considered whole numbers. The set of natural numbers is a subset of whole numbers, with the only difference being the inclusion of zero in whole numbers.

Examples of Whole Numbers Example 1: Using the Associative Property of Whole Numbers Problem:

Add the numbers 25 + 36 + 15 in three different ways and identify the property used.

Step-by-step solution: Step 1, let's understand what the associative property means: it states that how we group numbers during addition doesn't change the sum. This gives us flexibility in the order of operations. Step 2, Group the second and third numbers first 25+(36+15)=25+51=7625 + (36 + 15) = 25 + 51 = 7625+(36+15)=25+51=76 Step 3, Group the first and second numbers first (25+36)+15=61+15=76(25 + 36) + 15 = 61 + 15 = 76(25+36)+15=61+15=76 Step 4, Group the first and third numbers first (25+15)+36=40+36=76(25 + 15) + 36 = 40 + 36 = 76(25+15)+36=40+36=76 Step 5, Final answer: All three methods yield 76, demonstrating the associative property of addition for whole numbers. Example 2: Using the Distributive Property of Whole Numbers Problem:

Solve 6×(8−3)6 \times (8 - 3)6×(8−3) using the distributive property of multiplication.

Step-by-step solution: Step 1, recall the distributive property formula: a(b+c)=ab+aca(b + c) = ab + aca(b+c)=ab+ac or a(b−c)=ab−aca(b - c) = ab - aca(b−c)=ab−ac. This property allows us to distribute multiplication across addition or subtraction. Step 2, apply the distributive property to our expression: 6×(8−3)=6×8−6×36 \times (8 - 3) = 6 \times 8 - 6 \times 36×(8−3)=6×8−6×3 Step 3, perform the individual multiplications: 6×8=486 \times 8 = 486×8=48, 6×3=186 \times 3 = 186×3=18 Step 4, calculate the difference: 48−18=3048 - 18 = 3048−18=30 Example 3: When the Product of Whole Numbers Equals Zero Problem:

Under what condition is the product of two whole numbers zero?

Step-by-step solution: Step 1, let's think about some examples of multiplication involving zero: 0×5=00 \times 5 = 00×5=0, 19×0=019 \times 0 = 019×0=0, 0×0=00 \times 0 = 00×0=0 Step 2, observe the pattern: whenever zero is involved in multiplication (either as one or both factors), the product is zero. Step 3, formulate the rule: For two whole numbers to have a product of zero, at least one of the numbers must be zero. Step 4, we can state our conclusion: The product of two whole numbers is zero if and only if at least one of the numbers is zero. This can happen in two cases: One number is zero and the other is any whole number Both numbers are zero Comments(7)GGuitaristLeoNovember 4, 2025This glossary page on whole numbers is great! I've used it to help my students grasp the concepts. Clear defs and examples really aid learning.

MCMs. CarterSeptember 17, 2025I used the whole numbers definition and examples from this site to help my kids with their homework—it really made things clear for them! Love how it explained concepts like zero and the number line.

MCMs. CarterSeptember 10, 2025I’ve used the whole numbers definition and examples from this page to help my kids with their homework. The clear explanations made it easier for them to understand, especially the number line part!

MCMs. CarterAugust 27, 2025I used the Whole Numbers page to help my kids understand the concept better, and the examples made it so clear! It’s a great resource for teaching foundational math. Highly recommend!

MCMs. CarterAugust 20, 2025I’ve used the glossary to explain whole numbers to my kids, and it’s so clear and easy to follow. The examples really helped them grasp the concepts. Great resource for parents!

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 TermsEighthInfiniteCountShortestDegree Angle MeasureLine PlotView All Math TermsRecommended Interactive LessonsDivide by 93Math3.OA.C.7Divide by 13Math3.OA.C.7Compare Same Denominator Fractions Using the Rules3Math3.NF.A.3dFind Equivalent Fractions with the Number Line3Math3.NF.A.3.a, 3.NF.A.3.bmulti-digit subtraction within 1,000 with regrouping3Math2.NBT.B.7Use Associative Property to Multiply Multiples of 103Math3.OA.B.5View All Interactive LessonsRecommended VideosDivide by 0 and 13Math3.OA.C.7Round numbers to the nearest ten3Math3.NBT.A.1Word problems: four operations of multi-digit numbers4Math4.OA.A.2, 4.OA.A.3Add Mixed Number With Unlike Denominators5Math5.NF.A.1Understand And Find Equivalent Ratios6Math6.RP.A.3aCompare and order fractions, decimals, and percents6Math6.RP.A.2View All VideosRecommended WorksheetsRead and Interpret Bar Graphs1Math1.MD.C.4Identify and count coins2Math2.MD.C.8Multiply Fractions by Whole Numbers4Math4.NF.B.4bConvert Units Of Liquid Volume4Math4.MD.A.1，4.MD.A.2Use Models and Rules to Multiply Fractions by Fractions5Math5.NF.B.4aConvert Metric Units Using Multiplication And Division5Math5.MD.A.1View All WorksheetsRecommended Coloring PagesDog standing with an umbrella in its mouthPre-K – KAll SubjectsGoblin waving with a simple background of a treePre-K – KAll SubjectsNumber 17 with a shield on the ground and a simple sun in the background1 – 2All SubjectsA traffic cone with a small bird perched on it1 – 2All SubjectsChristmas angel decorating a Christmas tree with ornaments and a star3 – 4All SubjectsNumber 30 with balloons floating over a grassy field3 – 4All SubjectsView All Coloring PagesRecommended BlogsCreative Teacher Appreciation Week Ideas That Make Educators Feel ValuedOctober 15, 2025When Homework Feels Impossible: A Parent's Guide to SuccessOctober 12, 20256 Things Every Parent Should Know When Tutoring Family Members at HomeOctober 7, 2025How to Communicate with People: 6 Essential Skills Every Child Should LearnSeptember 17, 2025Beautiful Sisters Quotes to Share Love and Build Stronger Family BondsSeptember 17, 2025How to Teach Kids to Treat Everyone with Respect: A Teacher's Practical GuideSeptember 17, 2025View 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