Comparing and Ordering

Comparing and Ordering

Evan was watching his mother arranging a group of plants in a straight line.

Comparing the plants

On asking her what she was doing, she said she was comparing them based on height. 

Curious, Evan asked her why she was doing this.

To which, Mom said comparing would help her order the plants based on their height.  

Ordering of plants

Comparing and ordering is an integral part of our every day lives. Will you like to learn more about comparing and ordering?

Lesson Plan

What Is Comparing And Ordering?


Comparing is the process in which we observe similar properties of different objects or things.

Two or more objects may have similar properties like weight, height, cost, etc.

For example, we compare common features and prices before buying mobile phones.

mobile phone comparision

Similarly in math, we compare the place values to find greater or smaller numbers.

How does one compare numbers?

Step 1: Compare the number of digits. More number of digits means greater the number.

comparison of digits

Hence, 2132 is greater than 546.

Step 2: If the number of digits is the same then compare the higher place-values. A higher face value means a greater number.

comparison of place values

Hence, 5214 is greater than 3122.

Step 3:  If the higher place values are having the same face values then compare lower face values.

comparison of face values

Hence, 3242 is less than 3263.


The arrangement of objects, numbers, etc in ascending or descending order of their values after comparison is called ordering.

For example, these kids are standing according to the ascending order of their heights.

Ordering according to heights

Like these balls are arranged in ascending order of the numbers written on them.

Ordering of balls

Number Sorter

Enter your numbers inside the bracket with a comma and the sorter will arrange them in ascending and descending order.

What Are the Benefits Of Comparing And Ordering?

Benefits and achievements of comparing and ordering are:

  • It helps children in classifying objects as their size, shape, weight, and value.
  • It increases the logical reasoning and aptitude of the kids.
  • It helps them to understand daily life problems faced during the choice of items while shopping.
  • It makes their decision making strong.
  • It enables qualitative sorting among kids.
  • Most importantly, it helps kids to develop number sense which helps them to build strong mathematical concepts.
important notes to remember
Important Notes
  1. We can compare objects only on the basis of common properties or features.
  2. Before sorting, one needs to compare the objects.
  3. While forming the smallest number from the digits containing 0, zero should be placed at the second-highest place value.
    Incorrect: 0348     Correct: 3048

Solved Examples

Example 1



Steffy wants to gift a microwave oven to her mom. She saw two ovens having the same features having a listed price of $250 and $252. Which microwave oven should Steffy buy for a good deal?

microwave oven


To get the best deal, we need to compare the list prices.

Place value


Face values



Face values

Thousands 2 = (equal  to) 2
Hundreds 5 = (equal  to) 5
Tens 0 < (less than) 2

On comparing we find, 250 is less than 252.

Hence, Steffy should buy the microwave oven which cost her $250 to get the best deal.

Example 2



  Megan purchased some items from a store worth $55 but she has $40 only with her. She decided to return the most expensive item. Which is the most expensive item she should return?

Grocery bill


To find the most expensive item, arrange the prices in ascending order.

{$5, $6, $7, $9, $12, $18}

Now, $18 is at the last. It means, its value is highest.

Hence, Megan would return chocolates to buy the remaining items.
Challenge your math skills
Challenging Questions
  • Andy wants to find the difference between the highest and smallest number formed by the digits 5, 9, 2, 8, and 0. Can you help him?
    (Hint: Sort the digits in ascending and descending order and place 0 at thousands place in ascending order)

Interactive Questions

Here are a few activities for you to practice. Select/Type your answer and click the "Check Answer" button to see the result.



Let's Summarize

This mini-lesson targeted the fascinating concept of comparing and ordering. We hope you enjoyed learning about compare and order with the simulations and practice questions. Now, you will be able to easily solve problems on comparing and ordering.

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Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in.

FAQs on Comparing And Ordering

1. How do you compare numbers in Math?

In math, a comparison of numbers is done by examining the place values of the digits.

2. What does comparing mean?

Comparing is the process in which we observe similar properties of different objects or things before sorting them.

3. What is ordering and comparing numbers?

Arranging the numbers in ascending or descending order is called ordering which is done after examining the numbers as smaller or greater called comparing.

4. How do you teach comparing and ordering?

You can teach comparing and ordering by discussing height, weight, etc. of a few objects of surrounding.

5. How do you compare and order whole numbers?

We can compare and order whole numbers using the number line. 

Download SOLVED Practice Questions of Comparing and Ordering for FREE
Comparing and Ordering
Kg | Worksheet 1
Comparing and Ordering
Kg | Worksheet 3
Comparing and Ordering
Kg | Worksheet 4
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