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Last updated on May 30th, 2025

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Square of 377

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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 377.

Square of 377 for Australian Students
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What is the Square of 377

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

 

The square of 377 is 377 × 377.

 

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

 

We write it in math as 377², where 377 is the base and 2 is the exponent.

 

The square of a positive and a negative number is always positive.

 

For example, 5² = 25; (-5)² = 25.

 

The square of 377 is 377 × 377 = 142,129.

 

Square of 377 in exponential form: 377²

 

Square of 377 in arithmetic form: 377 × 377

square of 377

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How to Calculate the Value of Square of 377

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 377.

 

Step 1: Identify the number. Here, the number is 377.

 

Step 2: Multiplying the number by itself, we get, 377 × 377 = 142,129.

 

The square of 377 is 142,129.

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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 377 So: 377² = 377 × 377 = 142,129

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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 377.

 

Step 1: Enter the number in the calculator Enter 377 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 377 × 377

 

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

 

Here, the square of 377 is 142,129.

 

Tips and Tricks for the Square of 377

 

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 377

Mistakes are common among students when doing math, especially when it comes to 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 steps or swap digits. To avoid it, students should double-check their answers. 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 377

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Problem 1

Find the length of the side of a square, where the area of the square is 142,129 cm².

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The area of a square = a² So, the area of a square = 142,129 cm² So, the length = √142,129 = 377. The length of each side = 377 cm

Explanation

The length of a square is 377 cm.

Because the area is 142,129 cm², the length is √142,129 = 377.

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Problem 2

A farmer wants to fence a square plot of land with a side length of 377 meters. If the cost to fence each meter is 5 dollars, how much will it cost to fence the entire plot?

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The length of the side of the plot = 377 meters The cost to fence 1 meter = 5 dollars To find the total cost to fence, we calculate the perimeter of the plot, Perimeter of the plot = 4 × side Here, side = 377 Therefore, the perimeter = 4 × 377 = 1,508 meters The cost to fence the plot = 1,508 × 5 = 7,540 dollars.

Explanation

To find the cost to fence the plot, we multiply the perimeter of the plot by the cost to fence per meter.

So, the total cost is 7,540 dollars.

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Problem 3

Find the area of a circle whose radius is 377 meters.

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The area of the circle ≈ 446,172.94 m²

Explanation

The area of a circle = πr²

Here, r = 377

Therefore, the area of the circle = π × 377² ≈ 3.14 × 377 × 377 ≈ 446,172.94 m²

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Problem 4

The area of a square is 142,129 cm². Find the perimeter of the square.

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The perimeter of the square is 1,508 cm.

Explanation

The area of the square = a²

Here, the area is 142,129 cm²

The length of the side is √142,129 = 377

Perimeter of the square = 4a

Here, a = 377

Therefore, the perimeter = 4 × 377 = 1,508 cm.

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Problem 5

Find the square of 378.

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The square of 378 is 142,884.

Explanation

The square of 378 is multiplying 378 by 378.

So, the square = 378 × 378 = 142,884.

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FAQs on Square of 377

1.What is the square of 377?

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2.What is the square root of 377?

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3.Is 377 a prime number?

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4.What are the first few multiples of 377?

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5.What is the square of 376?

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

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7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 377?

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8.How do technology and digital tools in Australia support learning Algebra and Square of 377?

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

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Important Glossaries for Square 377

  • Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6². 
     
  • Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 37 is a prime number
  • Exponential Form: A way of expressing a number as a base raised to a power. For example, 377² where 377 is the base and 2 is the exponent. 
     
  • Square Root: The number that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12. 
     
  • Perimeter: The total distance around a two-dimensional shape, such as a square or rectangle. For example, the perimeter of a square with side 377 is 4 × 377.
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About BrightChamps in Australia

At BrightChamps, algebra is more than just numbers—it unlocks countless possibilities! Our aim is to help kids all across Australia master important math skills, with today’s lesson focused on the Square of 377 and a special emphasis on understanding squares—in a fun, clear, and engaging way. Whether your child is timing a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the newest gadgets, mastering algebra boosts their confidence for everyday challenges. Our lessons make learning simple and enjoyable. Since kids in Australia learn in various ways, we personalize our approach to suit each child. From Sydney’s vibrant streets to the beautiful beaches of the Gold Coast, BrightChamps brings math to life, making it relatable and exciting across Australia. Let’s make squares a fun 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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