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Last updated on May 30th, 2025

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Square of 380

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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 this topic, we will discuss the square of 380.

Square of 380 for US Students
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What is the Square of 380

The square of a number is the product of the number itself.

 

The square of 380 is 380 × 380.

 

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 380², where 380 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 380 is 380 × 380 = 144,400.

 

Square of 380 in exponential form: 380²

 

Square of 380 in arithmetic form: 380 × 380

square of 380

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How to Calculate the Value of Square of 380

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 380.

 

Step 1: Identify the number. Here, the number is 380.

 

Step 2: Multiplying the number by itself, we get, 380 × 380 = 144,400.

 

The square of 380 is 144,400.

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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 380

 

So: 380² = 380 × 380 = 144,400

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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 380.

 

Step 1: Enter the number in the calculator Enter 380 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 380 × 380

 

Step 3: Press the equal to button to find the answer

 

Here, the square of 380 is 144,400.

 

Tips and Tricks for the Square of 380

 

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 380

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 swap 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 380

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Problem 1

Find the length of the square, where the area of the square is 144,400 cm².

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The area of a square = a² So, the area of a square = 144,400 cm² So, the length = √144,400 = 380. The length of each side = 380 cm

Explanation

The length of a square is 380 cm.

Because the area is 144,400 cm², the length is √144,400 = 380.

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Problem 2

Alex is planning to paint his square wall of length 380 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?

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The length of the wall = 380 feet The cost to paint 1 square foot of wall = 2 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 = 380 Therefore, the area of the wall = 380² = 380 × 380 = 144,400. The cost to paint the wall = 144,400 × 2 = 288,800. The total cost = 288,800 dollars

Explanation

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 288,800 dollars.

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Problem 3

Find the area of a circle whose radius is 380 meters.

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The area of the circle = 453,760 m²

Explanation

The area of a circle = πr²

Here, r = 380

Therefore, the area of the circle = π × 380² = 3.14 × 380 × 380 = 453,760 m².

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Problem 4

The area of the square is 144,400 cm². Find the perimeter of the square.

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The perimeter of the square is 1,520 cm.

Explanation

The area of the square = a²

Here, the area is 144,400 cm²

The length of the side is √144,400 = 380

Perimeter of the square = 4a

Here, a = 380

Therefore, the perimeter = 4 × 380 = 1,520 cm.

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Problem 5

Find the square of 381.

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The square of 381 is 145,161.

Explanation

The square of 381 is multiplying 381 by 381.

So, the square = 381 × 381 = 145,161.

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FAQs on Square of 380

1.What is the square of 380?

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2.What is the square root of 380?

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3.Is 380 a prime number?

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4.What are the first few multiples of 380?

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5.What is the square of 381?

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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 380?

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8.How do technology and digital tools in United States support learning Algebra and Square of 380?

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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 of 380.

  • Perfect square: A number that is the square of an integer. For example, 144,400 is a perfect square as it is 380².
     
  • Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, etc.
     
  • Exponential form: Writing a number in the form of a power. For example, 380² where 380 is the base and 2 is the exponent.
     
  • Square root: The inverse operation of squaring, giving a number whose square is the number itself.
     
  • Multiplication method: A method to find the square of a number by multiplying the number by itself.
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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 380 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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