131 LearnersLast updated on May 30th, 2025
Square of 377
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.
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
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
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.
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
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.
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
Calculation errors:
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.
Mistake 2
Errors when using the formula.
The formula to find the square of a number is a². Instead, students may use 377² with (3 + 7 + 7)² or (300 + 70 + 7)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 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 perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
Solved Examples on Square of 377
Problem 1
Find the length of the side of a square, where the area of the square is 142,129 cm².
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.
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?
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.
Problem 3
Find the area of a circle whose radius is 377 meters.
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
Problem 4
The area of a square is 142,129 cm². Find the perimeter of the square.
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.
Problem 5
Find the square of 378.
The square of 378 is 142,884.
Explanation
The square of 378 is multiplying 378 by 378.
So, the square = 378 × 378 = 142,884.
FAQs on Square of 377
1.What is the square of 377?
2.What is the square root of 377?
3.Is 377 a prime number?
4.What are the first few multiples of 377?
5.What is the square of 376?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 377?
8.How do technology and digital tools in Australia support learning Algebra and Square of 377?
9.Does learning Algebra support future career opportunities for students in Australia?
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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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
: He loves to play the quiz with kids through algebra to make kids love it.
