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Last updated on October 14, 2025

Classification

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Different objects can be grouped into categories based on their common properties or attributes. This process is known as classification. Classifying objects helps us understand the relationship between different things. In this topic, we will learn the characteristics of classification and its applications in mathematics.

Classification for US Students
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What is Classification in Math?

In mathematics, classification is a method of sorting objects that have certain properties in common. For example, we classify 3 and 5 under odd numbers because they cannot be completely divided by 2. Here, numbers that cannot be divided by 2 are grouped as odd numbers.

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Difference between Classification and Sorting

Classification involves grouping data based on its shared properties. When classifying data, we look for shared features such as color, structure, or form.

 

For example, grouping ruled books together as one group and unruled books as another. 
On the other hand, sorting is a method of arranging things in order, but it does not require grouping based on shared features.

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What Are the Different Ways of Classification?

Classification depends on different parameters. Here, we will now discuss a few such classifications:

 

 

Classification Based on Shape: We classify objects into different groups based on their structure or shape.

For example, balls, oranges, and globes are classified as spherical objects.

 


Classification of Objects by Size: Objects can be grouped based on size or shape. This type of classification enables us to compare different objects based on how wide, tall, or long they are.

For example, clothing stores classify dresses as small, medium, large, etc.

 


Classification of Objects by Color: As we have learned, classification helps us compare and organize objects. One of the easiest ways to do this is by grouping objects based on their color. Items with the same color are grouped together. This classification even applies to a variety of objects, like animals, things, or birds, based on their common color.

For example, in flower shops flowers are arranged based on the colors 

 


Classification of Objects by Quantity: A given set of objects can be sorted into different categories based on the total number of items present in each set.

For example, groups of 2, 4, 8 cups arranged by numbers.

 


Classification of Numbers: Numbers can be grouped based on their shared features. Here, you’ll learn how they are classified:

 

 

  • Whole numbers: Whole numbers include 0 and all positive numbers.
    For example: 0, 1, 2, 3, 4,…

 

 

  • Natural numbers: Natural numbers include all positive counting numbers.
    For example: 1, 2, 3, 4, 5,…

 

 

  • Integers:  Integers include negative numbers, zero, and positive numbers.
    For example: ..., –2, –1, 0, 1, 2, …

 

  • Positive integers: Positive integers consist of only positive numbers such as 1, 2, 3,...

 

  • Negative integers: Negative integers are always less than zero, such as –1, –2, –3,...
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Tips and Tricks to Master the Classification

Learn how to classify objects, numbers, and ideas effectively helps students to identify key features, organize items, and understand relationships for better learning. Here, are a few tips and tricks to understand classification. 
 

  • Before classifying, understand what classification means, whether grouping objects or items based on common characteristics or features.
     
  • Look for defining features like size, shape, color, type, or function. For example, animals can be classified by habitat, diet, or body structure.
     
  • Use charts, tables, or diagrams to organize items visually. This helps in comparing and understanding relationships between groups.
     
  • When classifying, check for similarities and differences between groups to improve classification skills.
     
  • Apply classification to everyday items like fruits, clothes, books, or vehicles. Visual examples make the concept easier to understand and remember.
     
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Common Mistakes and How to Avoid Them in Classification

Classification is an essential concept for comparing objects. However, students might make mistakes in classifying them. Here are a few common mistakes and tips to avoid them:

Mistake 1

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Confusion between Whole Numbers and Natural Numbers
 

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Students commonly have the misconception that whole numbers and natural numbers are exactly the same. This often leads to incorrect classification.
Always keep in mind that whole numbers start from 0, but natural numbers begin from 1.
 

Mistake 2

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Incorrect Classification of Objects
 

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Putting objects into the same group even when they don’t have anything in common. Make sure the objects share similar properties before placing them in the same group.
 

Mistake 3

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Using Subjective-Based Classification
 

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Sometimes, students group objects based on assumptions, not shared properties.
Objects are grouped together on features like shape, size, color. Suppose, triangle shaped objects, or circle shaped objects are classified together.

Mistake 4

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 Considering Just a Single Feature 
 

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Sometimes, students take only one property under consideration while classifying objects. It may lead to errors.
Think of all possible ways an object can be classified and do not miss out on any feature.
 

Mistake 5

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Overlooking Exceptions

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Students might assume that all objects in the same category must look the same.
Not all objects in a category are identical. For example, a whale lives in water just like a fish, but it is classified as a mammal.

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Real-Life Applications of Classification

Classification helps organize objects or information based on shared characteristics, making them easier to identify, use, and manage. Some applications of classifications are: 

 

  • In libraries, arranging books by categories such as genre, author, or subject helps readers to quickly identify the book they need.

 

  • In clothing stores, dresses are sorted by size and type, helping customers to select the right items. 

 

  • In waste management, the waste is classified as biodegradable and non-biodegradable to ensure proper recycling, disposal, and environmental protection

 

  • Vehicles are classified by type and size so that traffic rules, parking, and road planning can be effectively applied. 

 

  • In supermarkets, groceries are arranged according to their type, like fruits, vegetables, dairy, or frozen products. It helps shoppers to find the items quickly. 
     
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Solved Examples of Classification

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Problem 1

Classify the given numbers: – 6, 0, 4

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  • Whole numbers: 0, 4
  • Natural numbers: 4
  • Integers: -6, 0, 4

 

Explanation

Here, we list all possible ways of classification of the given numbers. 
Numbers like 0 and 4 can be seen in two categories, as they belong to both whole numbers and integers. 
-6 is not a whole number or a natural number, but it is an integer.
 

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Problem 2

A crate contains apples, bananas, grapes, strawberries, and oranges. Classify them based on their colors.

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Red Group: Apples, Strawberries
Yellow group: Bananas
Green group: Green grapes
Orange group: Oranges
 

Explanation

The fruits are grouped based on their color. This shared attribute (color) makes it easier to compare and distinguish them.
 

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Problem 3

A collection of objects includes a football, a book, a die, and a water bottle. Classify them based on their shapes.

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Spherical objects: Football
Cuboidal objects: Book
Cubic objects: Die
Cylindrical objects: Water bottle
 

Explanation

The given objects are arranged in such a way that objects with the same shape are grouped together.
 

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Problem 4

Classify the following animals based on their size: Elephant, Dog, Rabbit, Ant.

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Large: Elephant
Medium: Dog
Small: Rabbit
Tiny: Ant
 

Explanation

We classify the given animals based on their size.
 

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FAQs on Classification

1.What do you mean by classification?

Classification is a method of sorting objects into categories based on their shared attributes. 

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2.What is the significance of classification?

Classification helps us identify the relationship between different objects and makes it easier to compare and analyze data.
 

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3.How can we use classification in mathematics?

Classification can be applied in mathematics to classify numbers into whole numbers, natural numbers, integers, etc.
 

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4.Cite one example of classification from real life.

We can classify books in a library based on their author, genre, and subject, which helps readers locate them easily.
 

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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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