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 508.
The square of a number is the product of the number itself.
The square of 508 is 508 × 508.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 508², where 508 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 508 is 508 × 508 = 258064.
Square of 508 in exponential form: 508²
Square of 508 in arithmetic form: 508 × 508
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 508.
Step 1: Identify the number. Here, the number is 508.
Step 2: Multiplying the number by itself, we get, 508 × 508 = 258064.
The square of 508 is 258064.
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 508
So: 508² = 508 × 508 = 258064
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 508.
Step 1: Enter the number in the calculator. Enter 508 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 508 × 508
Step 3: Press the equal to button to find the answer. Here, the square of 508 is 258064.
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 258064 cm².
The area of a square = a²
So, the area of a square = 258064 cm²
So, the length = √258064 = 508.
The length of each side = 508 cm
The length of a square is 508 cm.
Because the area is 258064 cm² the length is √258064 = 508.
Alice is planning to tile her square floor of length 508 feet. The cost to tile a square foot is 4 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 508 feet
The cost to tile 1 square foot of floor = 4 dollars.
To find the total cost to tile, we find the area of the floor.
Area of the floor = area of the square = a²
Here a = 508
Therefore, the area of the floor = 508² = 508 × 508 = 258064.
The cost to tile the floor = 258064 × 4 = 1032256.
The total cost = 1032256 dollars
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 1032256 dollars.
Find the area of a circle whose radius is 508 meters.
The area of the circle = 810,974.08 m²
The area of a circle = πr²
Here, r = 508
Therefore, the area of the circle = π × 508² = 3.14 × 508 × 508 = 810,974.08 m².
The area of the square is 258064 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 258064 cm²
The length of the side is √258064 = 508
Perimeter of the square = 4a
Here, a = 508
Therefore, the perimeter = 4 × 508 = 2032.
Find the square of 509.
The square of 509 is 259081
The square of 509 is multiplying 509 by 509.
So, the square = 509 × 509 = 259081
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.