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 this topic, we will discuss the square of 505.
The square of a number is the product of the number itself.
The square of 505 is 505 × 505.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 505², where 505 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 505 is 505 × 505 = 255025.
Square of 505 in exponential form: 505²
Square of 505 in arithmetic form: 505 × 505
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 505.
Step 1: Identify the number. Here, the number is 505.
Step 2: Multiplying the number by itself, we get, 505 × 505 = 255025.
The square of 505 is 255025.
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 505
So: 505² = 505 × 505 = 255025
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 505.
Step 1: Enter the number in the calculator Enter 505 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 505 × 505
Step 3: Press the equal to button to find the answer. Here, the square of 505 is 255025.
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 255025 cm².
The area of a square = a²
So, the area of a square = 255025 cm²
So, the length = √255025 = 505.
The length of each side = 505 cm
The length of a square is 505 cm.
Because the area is 255025 cm² the length is √255025 = 505.
Alice is planning to tile her square patio of length 505 feet. The cost to tile a foot is 10 dollars. Then how much will it cost to tile the full patio?
The length of the patio = 505 feet
The cost to tile 1 square foot of patio = is 10 dollars.
To find the total cost to tile, we find the area of the patio,
Area of the patio = area of the square = a²
Here a = 505
Therefore, the area of the patio = 505² = 505 × 505 = 255025.
The cost to tile the patio = 255025 × 10 = 2550250.
The total cost = 2550250 dollars
To find the cost to tile the patio, we multiply the area of the patio by cost to tile per foot.
So, the total cost is 2550250 dollars.
Find the area of a circle whose radius is 505 meters.
The area of the circle = 800625.26 m²
The area of a circle = πr²
Here, r = 505
Therefore, the area of the circle = π × 505² = 3.14 × 505 × 505 = 800625.26 m².
The area of a square is 255025 cm². Find the perimeter of the square.
The perimeter of the square is 2020 cm
The area of the square = a²
Here, the area is 255025 cm²
The length of the side is √255025 = 505
Perimeter of the square = 4a
Here, a = 505
Therefore, the perimeter = 4 × 505 = 2020 cm.
Find the square of 506.
The square of 506 is 256036
The square of 506 is multiplying 506 by 506.
So, the square = 506 × 506 = 256036
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.