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Last updated on May 27th, 2025

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Square of 2400

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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.

Square of 2400 for Bahraini Students
Professor Greenline from BrightChamps

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

square of 2400

Professor Greenline from BrightChamps

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
Professor Greenline from BrightChamps

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.

Professor Greenline from BrightChamps

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

Professor Greenline from BrightChamps

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.

Professor Greenline from BrightChamps

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.
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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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Calculation errors:

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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.

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Solved Examples on Square of 2400

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Find the side length of a square, where the area of the square is 5,760,000 cm².

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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.

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Max, the Girl Character from BrightChamps

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?

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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.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Find the area of a circle whose radius is 2400 meters.

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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.

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Max, the Girl Character from BrightChamps

Problem 4

The area of the square is 5,760,000 cm². Find the perimeter of the square.

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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.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Find the square of 2500.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Square of 2400

1.What is the square of 2400?

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2.What is the square root of 2400?

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3.Is 2400 a perfect square?

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4.What are the first few multiples of 2400?

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5.What is the square of 2500?

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6.How does learning Algebra help students in Bahrain make better decisions in daily life?

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7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 2400?

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8.How do technology and digital tools in Bahrain support learning Algebra and Square of 2400?

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9.Does learning Algebra support future career opportunities for students in Bahrain?

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Professor Greenline from BrightChamps

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.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, algebra means more than just digits—it’s a key to many opportunities! Our mission is to support children across Bahrain in learning vital math skills, focusing today on the Square of 2400 with special attention to understanding squares—in an engaging, lively, and easy-to-follow manner. Whether your child is measuring the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, tracking scores at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence for everyday tasks. Our interactive lessons make math learning simple and fun. Because kids in Bahrain learn in different ways, we adapt our teaching to fit each learner’s style. From Manama’s lively cityscape to tranquil beaches, BrightChamps makes math exciting and relevant across Bahrain. Let’s make squares an enjoyable part of every child’s math journey!
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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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Max, the Girl Character from BrightChamps

Fun Fact

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

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