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Last updated on May 26th, 2025

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Square of 113

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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 113.

Square of 113 for US Students
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What is the Square of 113

The square of a number is the product of the number itself. The square of 113 is 113 × 113. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 113², where 113 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 113 is 113 × 113 = 12769. Square of 113 in exponential form: 113² Square of 113 in arithmetic form: 113 × 113

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How to Calculate the Value of Square of 113

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 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 113 Step 1: Identify the number. Here, the number is 113 Step 2: Multiplying the number by itself, we get, 113 × 113 = 12769. The square of 113 is 12769.

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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 113 So: 113² = 113 × 113 = 12769

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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 113. Step 1: Enter the number in the calculator Enter 113 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 113 × 113 Step 3: Press the equal to button to find the answer Here, the square of 113 is 12769. Tips and Tricks for the Square of 113 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 113

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 113

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Problem 1

Find the length of the square, where the area of the square is 12769 cm².

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The area of a square = a² So, the area of a square = 12769 cm² So, the length = √12769 = 113. The length of each side = 113 cm

Explanation

The length of a square is 113 cm. Because the area is 12769 cm² the length is √12769 = 113.

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Problem 2

Sarah is planning to paint her square wall of length 113 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

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The length of the wall = 113 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 = 113 Therefore, the area of the wall = 113² = 113 × 113 = 12769. The cost to paint the wall = 12769 × 3 = 38307. The total cost = 38307 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot. So, the total cost is 38307 dollars.

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Problem 3

Find the area of a circle whose radius is 113 meters.

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The area of the circle = 40,122.54 m²

Explanation

The area of a circle = πr² Here, r = 113 Therefore, the area of the circle = π × 113² = 3.14 × 113 × 113 = 40122.54 m².

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Problem 4

The area of the square is 12769 cm². Find the perimeter of the square.

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The perimeter of the square is 452 cm.

Explanation

The area of the square = a² Here, the area is 12769 cm² The length of the side is √12769 = 113 Perimeter of the square = 4a Here, a = 113 Therefore, the perimeter = 4 × 113 = 452.

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Problem 5

Find the square of 114.

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The square of 114 is 12996.

Explanation

The square of 114 is multiplying 114 by 114. So, the square = 114 × 114 = 12996

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FAQs on Square of 113

1.What is the square of 113?

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2.What is the square root of 113?

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3.Is 113 a prime number?

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4.What are the first few multiples of 113?

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5.What is the square of 112?

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

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7.How can cultural or local activities in United States support learning Algebra topics such as Square of 113?

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8.How do technology and digital tools in United States support learning Algebra and Square of 113?

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

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Important Glossaries for Square 113.

Prime number: A number that is only divisible by 1 and itself, with no other divisors. For example, 2, 3, 5, 7, 113, etc. Exponential form: A way of writing numbers using bases and exponents, such as 113² where 113 is the base and 2 is the exponent. Square: The result of multiplying a number by itself. For example, the square of 5 is 25. Square root: The operation that finds a number whose square is the given number. For example, the square root of 144 is 12. Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².

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About BrightChamps in United States

At BrightChamps, we understand that algebra is more than just symbols—it's a gateway to endless possibilities! Our goal is to help children all over the United States master key math concepts, such as today’s lesson on the Square of 113 with a special emphasis on grasping squares—in an engaging, fun, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score at a Little League baseball game, or budgeting their allowance for the newest gadgets, having a solid grasp of algebra builds the confidence they need for daily life. Our hands-on lessons are designed to make learning both simple and enjoyable. Since children across the USA learn in diverse ways, we customize our methods to suit each individual learner. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it relevant and exciting nationwide. Let’s make squares an exciting part of every child’s math adventure!
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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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