Last updated on June 2nd, 2025
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 500.
The square of a number is the product of the number with itself.
The square of 500 is 500 × 500.
A number's square always ends in 0, 1, 4, 5, 6, or 9. In math, we write it as 500², where 500 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 500 is 500 × 500 = 250,000.
Square of 500 in exponential form: 500²
Square of 500 in arithmetic form: 500 × 500
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 500.
Step 1: Identify the number. Here, the number is 500.
Step 2: Multiply the number by itself, we get, 500 × 500 = 250,000.
The square of 500 is 250,000.
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 500.
So: 500² = 500 × 500 = 250,000
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 500.
Step 1: Enter the number in the calculator. Enter 500 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 500 × 500.
Step 3: Press the equal button to find the answer. Here, the square of 500 is 250,000.
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 250,000 cm².
The area of a square = a²
So, the area of a square = 250,000 cm²
So, the length = √250,000 = 500.
The length of each side = 500 cm
The length of a square is 500 cm.
Because the area is 250,000 cm², the length is √250,000 = 500.
Anna is planning to tile her square kitchen floor of length 500 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 500 feet
The cost to tile 1 square foot of floor = 5 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 = 500
Therefore, the area of the floor = 500² = 500 × 500 = 250,000.
The cost to tile the floor = 250,000 × 5 = 1,250,000.
The total cost = 1,250,000 dollars
To find the cost to tile the floor, we multiply the area of the floor by cost to tile per foot.
So, the total cost is 1,250,000 dollars.
Find the area of a circle whose radius is 500 meters.
The area of the circle = 785,000 m²
The area of a circle = πr²
Here, r = 500
Therefore, the area of the circle = π × 500² = 3.14 × 500 × 500 = 785,000 m².
The area of the square is 250,000 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 250,000 cm²
The length of the side is √250,000 = 500
Perimeter of the square = 4a
Here, a = 500
Therefore, the perimeter = 4 × 500 = 2,000.
Find the square of 501.
The square of 501 is 251,001
The square of 501 is multiplying 501 by 501.
So, the square = 501 × 501 = 251,001
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.