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Last updated on May 30th, 2025

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Square of 114

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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.

Square of 114 for Indian Students
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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

 

square of 114

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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
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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.

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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

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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.
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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

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Calculation errors:

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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.

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Solved Examples on Square of 114

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Problem 1

Find the length of the square, where the area of the square is 12996 cm².

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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.

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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?

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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.

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Problem 3

Find the area of a circle whose radius is 114 meters.

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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.

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Problem 4

The area of the square is 12996 cm². Find the perimeter of the square.

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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.

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Problem 5

Find the square of 115.

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The square of 115 is 13225

Explanation

The square of 115 is multiplying 115 by 115.

 

So, the square = 115 × 115 = 13225

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FAQs on Square of 114

1.What is the square of 114?

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2.What is the square root of 114?

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3.Is 114 a prime number?

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4.What are the first few multiples of 114?

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5.What is the square of 113?

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6.How does learning Algebra help students in India make better decisions in daily life?

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7.How can cultural or local activities in India support learning Algebra topics such as Square of 114?

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8.How do technology and digital tools in India support learning Algebra and Square of 114?

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9.Does learning Algebra support future career opportunities for students in India?

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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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About BrightChamps in India

At BrightChamps, we believe algebra is more than just numbers—it’s a key to countless opportunities! Our purpose is to help children throughout India master vital math skills, such as today’s focus on the Square of 114 with special emphasis on understanding squares—in an engaging, fun, and easy-to-follow manner. Whether your child is calculating how fast a train passes by, tracking scores in a Cricket match, or managing pocket money to buy the latest gadgets, a solid understanding of algebra gives them the confidence to tackle everyday tasks. Our interactive lessons make learning both enjoyable and simple. Because children in India learn in diverse ways, we tailor our teaching methods to each child’s style. From the bustling markets of Mumbai to Delhi’s vibrant streets, BrightChamps makes math relevant and exciting throughout India. Let’s turn squares into a joyful part of every child’s math journey!
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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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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