129 LearnersLast updated on May 27th, 2025
Square of 2400
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 2400.
What is the Square of 2400
The square of a number is the product of the number itself.
The square of 2400 is 2400 × 2400.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 2400², where 2400 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 2400 is 2400 × 2400 = 5,760,000.
Square of 2400 in exponential form: 2400²
Square of 2400 in arithmetic form: 2400 × 2400
How to Calculate the Value of Square of 2400
The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.
- By Multiplication Method
- Using a Formula (a2)
- Using a Calculator
By the Multiplication method
In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 2400
Step 1: Identify the number. Here, the number is 2400
Step 2: Multiplying the number by itself, we get, 2400 × 2400 = 5,760,000.
The square of 2400 is 5,760,000.
Using a Formula (a²)
In this method, the formula, a² is used to find the square of the number. Where a is the number.
Step 1: Understanding the equation Square of a number = a² a² = a × a
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 2400 So: 2400² = 2400 × 2400 = 5,760,000
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 2400.
Step 1: Enter the number in the calculator Enter 2400 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 2400 × 2400
Step 3: Press the equal to button to find the answer Here, the square of 2400 is 5,760,000.
Tips and Tricks for the Square of 2400
Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 2400
Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 2500 is 6,250,000, and the square root of 6,250,000 is ±2500.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 2400² with (24+00)² or (200+400)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 2400
Problem 1
Find the side length of a square, where the area of the square is 5,760,000 cm².
The area of a square = a²
So, the area of a square = 5,760,000 cm²
So, the side length = √5,760,000 = 2400.
The side length of each side = 2400 cm
Explanation
The side length of a square is 2400 cm.
Because the area is 5,760,000 cm², the side length is √5,760,000 = 2400.
Problem 2
Samantha is planning to paint her square ceiling of length 2400 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full ceiling?
The length of the ceiling = 2400 feet
The cost to paint 1 square foot of ceiling = 2 dollars.
To find the total cost to paint, we find the area of the ceiling,
Area of the ceiling = area of the square = a²
Here a = 2400
Therefore, the area of the ceiling = 2400² = 2400 × 2400 = 5,760,000.
The cost to paint the ceiling = 5,760,000 × 2 = 11,520,000.
The total cost = 11,520,000 dollars
Explanation
To find the cost to paint the ceiling, we multiply the area of the ceiling by the cost to paint per foot.
So, the total cost is 11,520,000 dollars.
Problem 3
Find the area of a circle whose radius is 2400 meters.
The area of the circle = 18,086,400 m²
Explanation
The area of a circle = πr²
Here, r = 2400
Therefore, the area of the circle = π × 2400² = 3.14 × 2400 × 2400 = 18,086,400 m².
Problem 4
The area of the square is 5,760,000 cm². Find the perimeter of the square.
The perimeter of the square is 9,600 cm
Explanation
The area of the square = a²
Here, the area is 5,760,000 cm²
The side length is √5,760,000 = 2400
Perimeter of the square = 4a
Here, a = 2400
Therefore, the perimeter = 4 × 2400 = 9,600 cm.
Problem 5
Find the square of 2500.
The square of 2500 is 6,250,000
Explanation
The square of 2500 is multiplying 2500 by 2500.
So, the square = 2500 × 2500 = 6,250,000
FAQs on Square of 2400
1.What is the square of 2400?
2.What is the square root of 2400?
3.Is 2400 a perfect square?
4.What are the first few multiples of 2400?
5.What is the square of 2500?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 2400?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 2400?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square of 2400.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponential form: A way of writing numbers using a base and an exponent. For example, 2400² where 2400 is the base and 2 is the exponent.
- Square root: The number that produces a specified quantity when multiplied by itself. For example, the square root of 144 is 12.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, multiples of 2400 include 2400, 4800, and 7200.
- Area: The measure of the extent of a two-dimensional surface or shape in square units. For example, the area of a square with side length 'a' is a².
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 2400
About BrightChamps in Bahrain
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
