134 LearnersLast updated on May 30th, 2025
Square of 504
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 504.
What is the Square of 504
The square of a number is the product of the number with itself. The square of 504 is 504 × 504.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 504², where 504 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 504 is 504 × 504 = 254,016.
Square of 504 in exponential form: 504²
Square of 504 in arithmetic form: 504 × 504
How to Calculate the Value of Square of 504
The square of a number is found by multiplying the number by itself. 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 504.
Step 1: Identify the number. Here, the number is 504.
Step 2: Multiplying the number by itself, we get, 504 × 504 = 254,016.
The square of 504 is 254,016.
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 504.
So: 504² = 504 × 504 = 254,016
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 504.
Step 1: Enter the number in the calculator. Enter 504 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 504 × 504.
Step 3: Press the equal to button to find the answer Here, the square of 504 is 254,016.
Tips and Tricks for the Square of 504
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.
- The square root of a perfect square is always a whole number.
Common Mistakes to Avoid When Calculating the Square of 504
Mistakes are common among kids when doing math, especially when it involves 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 swap 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 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 504² with (5+0+4)² or (500+4)². So, students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square with 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 errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master finding the square of a number. So, students should practice regularly to avoid errors.
Solved Examples on Square of 504
Problem 1
Find the length of the square, where the area of the square is 254,016 cm².
The area of a square = a²
So, the area of a square = 254,016 cm²
So, the length = √254,016 = 504.
The length of each side = 504 cm
Explanation
The length of a square is 504 cm.
Because the area is 254,016 cm², the length is √254,016 = 504.
Problem 2
Alice is planning to carpet her square living room of length 504 feet. The cost to carpet a foot is 2 dollars. How much will it cost to carpet the full room?
The length of the room = 504 feet
The cost to carpet 1 square foot of the room = 2 dollars.
To find the total cost to carpet, we find the area of the room.
Area of the room = area of the square = a²
Here a = 504
Therefore, the area of the room = 504² = 504 × 504 = 254,016.
The cost to carpet the room = 254,016 × 2 = 508,032.
The total cost = 508,032 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 508,032 dollars.
Problem 3
Find the area of a circle whose radius is 504 meters.
The area of the circle = 797,194.56 m²
Explanation
The area of a circle = πr²
Here, r = 504
Therefore, the area of the circle = π × 504² = 3.14 × 504 × 504 = 797,194.56 m².
Problem 4
The area of the square is 254,016 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 254,016 cm²
The length of the side is √254,016 = 504
Perimeter of the square = 4a
Here, a = 504
Therefore, the perimeter = 4 × 504 = 2,016.
Problem 5
Find the square of 505.
The square of 505 is 255,025.
Explanation
The square of 505 is multiplying 505 by 505.
So, the square = 505 × 505 = 255,025.
FAQs on Square of 504
1.What is the square of 504?
2.What is the square root of 504?
3.Is 504 a perfect square?
4.What are the first few multiples of 504?
5.What is the square of 503?
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 504?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 504?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square 504.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself.
- Area: The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle.
- Perimeter: The total length of the sides or edges of a polygon.
- Square root: The square root is the inverse operation of squaring; it is a value that, when multiplied by itself, gives the original number.
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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.
