132 LearnersLast updated on May 30th, 2025
Square of 114
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 114.
What is the Square of 114
The square of a number is the product of the number itself.
The square of 114 is 114 × 114.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 114², where 114 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 114 is 114 × 114 = 12996.
Square of 114 in exponential form: 114²
Square of 114 in arithmetic form: 114 × 114
How to Calculate the Value of the Square of 114
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 114.
Step 1: Identify the number. Here, the number is 114.
Step 2: Multiplying the number by itself, we get, 114 × 114 = 12996.
The square of 114 is 12996.
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 114.
So: 114² = 114 × 114 = 12996
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 114.
Step 1: Enter the number in the calculator. Enter 114 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 114 × 114
Step 3: Press the equal to button to find the answer. Here, the square of 114 is 12996.
Tips and Tricks for the Square of 114
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 114
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 114² with (1+14)² or (100+14)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 114
Problem 1
Find the length of the square, where the area of the square is 12996 cm².
The area of a square = a²
So, the area of a square = 12996 cm²
So, the length = √12996 = 114.
The length of each side = 114 cm
Explanation
The length of a square is 114 cm.
Because the area is 12996 cm², the length is √12996 = 114.
Problem 2
Alice is planning to tile her square garden of length 114 meters. The cost to tile a meter is 10 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 114 meters
The cost to tile 1 square meter of garden = 10 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 114
Therefore, the area of the garden = 114² = 114 × 114 = 12996.
The cost to tile the garden = 12996 × 10 = 129960.
The total cost = 129960 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per meter. So, the total cost is 129960 dollars.
Problem 3
Find the area of a circle whose radius is 114 meters.
The area of the circle = 40824.66 m²
Explanation
The area of a circle = πr²
Here, r = 114
Therefore, the area of the circle = π × 114² = 3.14 × 114 × 114 = 40824.66 m².
Problem 4
The area of the square is 12996 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 12996 cm²
The length of the side is √12996 = 114
Perimeter of the square = 4a
Here, a = 114
Therefore, the perimeter = 4 × 114 = 456.
Problem 5
Find the square of 115.
The square of 115 is 13225
Explanation
The square of 115 is multiplying 115 by 115.
So, the square = 115 × 115 = 13225
FAQs on Square of 114
1.What is the square of 114?
2.What is the square root of 114?
3.Is 114 a prime number?
4.What are the first few multiples of 114?
5.What is the square of 113?
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 114?
8.How do technology and digital tools in India support learning Algebra and Square of 114?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 114.
- Square: The product of multiplying a number by itself. For example, the square of 5 is 5² = 25.
- Even number: A number divisible by 2. For example, 2, 4, 6, 8, etc.
- Odd number: A number not divisible by 2. For example, 1, 3, 5, 7, etc.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because 6 × 6 = 36.
- Inverse operation: An operation that reverses the effect of another operation. For example, subtraction is the inverse of addition.
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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.
Fun Fact
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