114 LearnersLast updated on May 26th, 2025
Square of 127
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 127.
What is the Square of 127
The square of a number is the product of the number itself. The square of 127 is 127 × 127.
The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 127², where 127 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 127 is 127 × 127 = 16,129.
Square of 127 in exponential form: 127²
Square of 127 in arithmetic form: 127 × 127
How to Calculate the Value of Square of 127
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 127
Step 1: Identify the number. Here, the number is 127
Step 2: Multiplying the number by itself, we get, 127 × 127 = 16,129. The square of 127 is 16,129.
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 127 So: 127² = 127 × 127 = 16,129
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 127.
Step 1: Enter the number in the calculator Enter 127 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 127 × 127
Step 3: Press the equal to button to find the answer Here, the square of 127 is 16,129.
Tips and Tricks for the Square of 127 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 127
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
Calculation errors:
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 127² with (1+2+7)² or (120+7)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 the concept 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 do the 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 do regular practice to avoid errors.
Solved Examples on Square of 127
Problem 1
Find the length of the square, where the area of the square is 16,129 cm².
The area of a square = a² So, the area of a square = 16,129 cm² So, the length = √16,129 = 127. The length of each side = 127 cm
Explanation
The length of a square is 127 cm because the area is 16,129 cm².
The length is √16,129 = 127.
Problem 2
Anna is planning to decorate her square garden of length 127 feet. The cost to decorate a foot is 5 dollars. Then how much will it cost to decorate the full garden?
The length of the garden = 127 feet The cost to decorate 1 square foot of the garden = 5 dollars. To find the total cost to decorate, we find the area of the garden, Area of the garden = area of the square = a² Here a = 127 Therefore, the area of the garden = 127² = 127 × 127 = 16,129. The cost to decorate the garden = 16,129 × 5 = 80,645. The total cost = 80,645 dollars
Explanation
To find the cost to decorate the garden, we multiply the area of the garden by the cost to decorate per foot.
So, the total cost is 80,645 dollars.
Problem 3
Find the area of a circle whose radius is 127 meters.
The area of the circle = 50,670.73 m²
Explanation
The area of a circle = πr²
Here, r = 127
Therefore, the area of the circle = π × 127²
= 3.14 × 127 × 127
= 50,670.73 m².
Problem 4
The area of the square is 16,129 cm². Find the perimeter of the square.
The perimeter of the square is 508 cm.
Explanation
The area of the square = a²
Here, the area is 16,129 cm²
The length of the side is √16,129 = 127
Perimeter of the square = 4a
Here, a = 127
Therefore, the perimeter = 4 × 127 = 508.
Problem 5
Find the square of 128.
The square of 128 is 16,384.
Explanation
The square of 128 is multiplying 128 by 128.
So, the square = 128 × 128
= 16,384.
FAQs on Square of 127
1.What is the square of 127?
2.What is the square root of 127?
3.Is 127 a prime number?
4.What are the first few multiples of 127?
5.What is the square of 126?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 127?
8.How do technology and digital tools in India support learning Algebra and Square of 127?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 127.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, ...
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9², where 9 is the base and 2 is the power.
- Square: The square of a number is the product of a number multiplied by itself. For example, 4² = 16.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4².
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About BrightChamps in India
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.
