130 LearnersLast updated on May 30th, 2025
Square of 327
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 327.
What is the Square of 327
The square of a number is the product of the number itself.
The square of 327 is 327 × 327.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 327², where 327 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 327 is 327 × 327 = 106929.
Square of 327 in exponential form: 327²
Square of 327 in arithmetic form: 327 × 327
How to Calculate the Value of Square of 327
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 327.
Step 1: Identify the number. Here, the number is 327.
Step 2: Multiplying the number by itself, we get, 327 × 327 = 106929.
The square of 327 is 106929.
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 327
So: 327² = 327 × 327 = 106929
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 327.
Step 1: Enter the number in the calculator. Enter 327 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 327 × 327
Step 3: Press the equal to button to find the answer. Here, the square of 327 is 106929.
Tips and Tricks for the Square of 327
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 327
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 327² with (32 + 7)² or (320 + 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 327
Problem 1
Find the length of the square, where the area of the square is 106929 cm².
The area of a square = a²
So, the area of a square = 106929 cm²
So, the length = √106929 = 327.
The length of each side = 327 cm
Explanation
The length of a square is 327 cm.
Because the area is 106929 cm², the length is √106929 = 327.
Problem 2
Anna is planning to tile her square garden with a length of 327 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full garden?
The length of the garden = 327 feet
The cost to tile 1 square foot of garden = 5 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 327
Therefore, the area of the garden = 327² = 327 × 327 = 106929.
The cost to tile the garden = 106929 × 5 = 534645.
The total cost = 534645 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 534645 dollars.
Problem 3
Find the area of a circle whose radius is 327 meters.
The area of the circle = 335,357.17 m²
Explanation
The area of a circle = πr²
Here, r = 327
Therefore, the area of the circle = π × 327² = 3.14 × 327 × 327 = 335,357.17 m².
Problem 4
The area of the square is 106929 cm². Find the perimeter of the square.
The perimeter of the square is 1308 cm.
Explanation
The area of the square = a²
Here, the area is 106929 cm²
The length of the side is √106929 = 327
Perimeter of the square = 4a
Here, a = 327
Therefore, the perimeter = 4 × 327 = 1308.
Problem 5
Find the square of 328.
The square of 328 is 107584.
Explanation
The square of 328 is multiplying 328 by 328. So, the square = 328 × 328 = 107584.
FAQs on Square of 327
1.What is the square of 327?
2.What is the square root of 327?
3.Is 327 a prime number?
4.What are the first few multiples of 327?
5.What is the square of 326?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 327?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 327?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square 327.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because 4² = 16.
- Exponent: A number that shows how many times a base is multiplied by itself. For example, in 327², 2 is the exponent.
- Multiplication: An arithmetic operation that combines groups of equal sizes. For example, 327 × 327 is multiplication.
- Area: The measure of space inside a shape. For example, the area of a square is calculated as side × side.
- Square root: The value that, when multiplied by itself, gives the original number. For example, the square root of 106929 is 327.
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About BrightChamps in Bahrain
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.
