Last updated on May 30th, 2025
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 the topic, we will discuss the square of 503.
The square of a number is the product of the number itself.
The square of 503 is 503 × 503.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 503², where 503 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 503 is 503 × 503 = 253,009.
Square of 503 in exponential form: 503²
Square of 503 in arithmetic form: 503 × 503
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.
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 503.
Step 1: Identify the number. Here, the number is 503.
Step 2: Multiplying the number by itself, we get, 503 × 503 = 253,009.
The square of 503 is 253,009.
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 503
So: 503² = 503 × 503 = 253,009
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 503.
Step 1: Enter the number in the calculator. Enter 503 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 503 × 503.
Step 3: Press the equal to button to find the answer. Here, the square of 503 is 253,009.
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.
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.
Find the length of the square, where the area of the square is 253,009 cm².
The area of a square = a²
So, the area of a square = 253,009 cm²
So, the length = √253,009 = 503.
The length of each side = 503 cm
The length of a square is 503 cm.
Because the area is 253,009 cm² the length is √253,009 = 503.
Sam is planning to paint his square wall of length 503 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 503 feet
The cost to paint 1 square foot of wall = is 3 dollars.
To find the total cost to paint, we find the area of the wall.
Area of the wall = area of the square = a²
Here a = 503
Therefore, the area of the wall = 503² = 503 × 503 = 253,009.
The cost to paint the wall = 253,009 × 3 = 759,027.
The total cost = 759,027 dollars
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.
So, the total cost is 759,027 dollars.
Find the area of a circle whose radius is 503 meters.
The area of the circle = 795,801.06 m²
The area of a circle = πr²
Here, r = 503
Therefore, the area of the circle = π × 503² = 3.14 × 503 × 503 = 795,801.06 m².
The area of the square is 253,009 cm². Find the perimeter of the square.
The perimeter of the square is 2,012 cm
The area of the square = a²
Here, the area is 253,009 cm²
The length of the side is √253,009 = 503
Perimeter of the square = 4a
Here, a = 503
Therefore, the perimeter = 4 × 503 = 2,012.
Find the square of 504.
The square of 504 is 254,016
The square of 504 is multiplying 504 by 504.
So, the square = 504 × 504 = 254,016
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.