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210 LearnersLast updated on October 14, 2025

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.
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.
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.
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:
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.
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:
Classification helps organize objects or information based on shared characteristics, making them easier to identify, use, and manage. Some applications of classifications are:
Classify the given numbers: – 6, 0, 4
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.
A crate contains apples, bananas, grapes, strawberries, and oranges. Classify them based on their colors.
Red Group: Apples, Strawberries
Yellow group: Bananas
Green group: Green grapes
Orange group: Oranges
The fruits are grouped based on their color. This shared attribute (color) makes it easier to compare and distinguish them.
A collection of objects includes a football, a book, a die, and a water bottle. Classify them based on their shapes.
Spherical objects: Football
Cuboidal objects: Book
Cubic objects: Die
Cylindrical objects: Water bottle
The given objects are arranged in such a way that objects with the same shape are grouped together.
Classify the following animals based on their size: Elephant, Dog, Rabbit, Ant.
Large: Elephant
Medium: Dog
Small: Rabbit
Tiny: Ant
We classify the given animals based on their size.
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.
: He loves to play the quiz with kids through algebra to make kids love it.






