135 LearnersLast updated on May 30th, 2025
Square of 115
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 115.
What is the Square of 115
The square of a number is the product of the number itself.
The square of 115 is 115 × 115.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 115², where 115 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 115 is 115 × 115 = 13225.
Square of 115 in exponential form: 115²
Square of 115 in arithmetic form: 115 × 115
How to Calculate the Value of Square of 115
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.
- By Multiplication Method
- Using a Formula (a2)
- Using a Calculator
By the Multiplication method
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 115
Step 1: Identify the number. Here, the number is 115
Step 2: Multiplying the number by itself, we get, 115 × 115 = 13225.
The square of 115 is 13225.
Using a Formula (a²)
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 115
So: 115² = 115 × 115 = 13225
By Using a Calculator
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 115.
Step 1: Enter the number in the calculator. Enter 115 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 115 × 115
Step 3: Press the equal to button to find the answer. Here, the square of 115 is 13225.
Tips and Tricks for the Square of 115
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.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 115
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 115² with (1 + 1 + 5)² or (100 + 15)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 115
Problem 1
Find the length of the square, where the area of the square is 13225 cm².
The area of a square = a²
So, the area of a square = 13225 cm²
So, the length = √13225 = 115.
The length of each side = 115 cm
Explanation
The length of a square is 115 cm. Because the area is 13225 cm² the length is √13225 = 115.
Problem 2
Sarah is planning to wallpaper her square room of length 115 feet. The cost to wallpaper a foot is 4 dollars. Then how much will it cost to wallpaper the full room?
The length of the room = 115 feet
The cost to wallpaper 1 square foot of wall = 4 dollars.
To find the total cost to wallpaper, we find the area of the room,
Area of the room = area of the square = a²
Here a = 115
Therefore, the area of the room = 115² = 115 × 115 = 13225.
The cost to wallpaper the room = 13225 × 4 = 52900.
The total cost = 52900 dollars
Explanation
To find the cost to wallpaper the room, we multiply the area of the room by cost to wallpaper per foot. So, the total cost is 52900 dollars.
Problem 3
Find the area of a circle whose radius is 115 meters.
The area of the circle = 41548.75 m²
Explanation
The area of a circle = πr² Here, r = 115 Therefore, the area of the circle = π × 115² = 3.14 × 115 × 115 = 41548.75 m².
Problem 4
The area of the square is 13225 cm². Find the perimeter of the square.
The perimeter of the square is 460 cm.
Explanation
The area of the square = a² Here, the area is 13225 cm² The length of the side is √13225 = 115 Perimeter of the square = 4a Here, a = 115 Therefore, the perimeter = 4 × 115 = 460.
Problem 5
Find the square of 116.
The square of 116 is 13456.
Explanation
The square of 116 is multiplying 116 by 116. So, the square = 116 × 116 = 13456.
FAQs on Square of 115
1.What is the square of 115?
2.What is the square root of 115?
3.Is 115 a prime number?
4.What are the first few multiples of 115?
5.What is the square of 114?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 115?
8.How do technology and digital tools in India support learning Algebra and Square of 115?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 115.
- Square: The product of multiplying a number by itself. For example, 115² = 115 × 115 = 13225.
- Exponent: The number that indicates how many times the base is multiplied by itself. In 115², 2 is the exponent.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it's 12².
- Area: The amount of space inside the boundary of a flat object, such as a square or circle.
- Perimeter: The distance around a two-dimensional shape. For a square, it is 4 times the side length.
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Jaskaran Singh Saluja
About the Author
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.
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