Last updated on May 29th, 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 311.
The square of a number is the product of the number itself.
The square of 311 is 311 × 311.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 311², where 311 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 311 is 311 × 311 = 96,721.
Square of 311 in exponential form: 311²
Square of 311 in arithmetic form: 311 × 311
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 311.
Step 1: Identify the number. Here, the number is 311.
Step 2: Multiplying the number by itself, we get, 311 × 311 = 96,721.
The square of 311 is 96,721.
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 311.
So: 311² = 311 × 311 = 96,721.
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 311.
Step 1: Enter the number in the calculator. Enter 311 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 311 × 311.
Step 3: Press the equal to button to find the answer. Here, the square of 311 is 96,721.
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 96,721 cm².
The area of a square = a²
So, the area of a square = 96,721 cm²
So, the length = √96,721 = 311.
The length of each side = 311 cm.
The length of a square is 311 cm.
Because the area is 96,721 cm², the length is √96,721 = 311.
Alex is planning to paint his square wall of length 311 feet. The cost to paint a foot is 3 dollars. How much will it cost to paint the full wall?
The length of the wall = 311 feet
The cost to paint 1 square foot of wall = 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 = 311
Therefore, the area of the wall = 311² = 311 × 311 = 96,721.
The cost to paint the wall = 96,721 × 3 = 290,163.
The total cost = 290,163 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 290,163 dollars.
Find the area of a circle whose radius is 311 meters.
The area of the circle = 303,116.14 m²
The area of a circle = πr²
Here, r = 311
Therefore, the area of the circle = π × 311² = 3.14 × 311 × 311 = 303,116.14 m².
The area of the square is 98,601 cm². Find the perimeter of the square.
The perimeter of the square is 396 cm.
The area of the square = a²
Here, the area is 98,601 cm²
The length of the side is √98,601 = 314
Perimeter of the square = 4a
Here, a = 314
Therefore, the perimeter = 4 × 314 = 1,256.
Find the square of 312.
The square of 312 is 97,344.
The square of 312 is multiplying 312 by 312.
So, the square = 312 × 312 = 97,344.
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.