109 LearnersLast updated on May 26th, 2025
Square of 655
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 655.
What is the Square of 655
The square of a number is the product of the number itself. The square of 655 is 655 × 655. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 655², where 655 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 655 is 655 × 655 = 429,025.
Square of 655 in exponential form: 655²
Square of 655 in arithmetic form: 655 × 655
How to Calculate the Value of Square of 655
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 655.
Step 1: Identify the number. Here, the number is 655.
Multiplying the number by itself, we get, 655 × 655 = 429,025.
The square of 655 is 429,025.
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 655. So: 655² = 655 × 655 = 429,025
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 655.
Step 1: Enter the number in the calculator Enter 655 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 655 × 655
Step 3: Press the equal to button to find the answer Here, the square of 655 is 429,025.
Tips and Tricks for the Square of 655
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 655
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.
Solved Examples on Square of 655
Problem 1
Find the length of the square, where the area of the square is 429,025 cm².
The area of a square = a²
So, the area of a square = 429,025 cm²
So, the length = √429,025 = 655.
The length of each side = 655 cm
Explanation
The length of a square is 655 cm.
Because the area is 429,025 cm² the length is √429,025 = 655.
Problem 2
Emily is planning to paint her square garden fence of length 655 feet. The cost to paint a foot is 1.5 dollars. Then how much will it cost to paint the full fence?
The length of the fence = 655 feet
The cost to paint 1 square foot of the fence = 1.5 dollars.
To find the total cost to paint, we find the area of the fence,
Area of the fence = area of the square = a²
Here a = 655
Therefore, the area of the fence = 655² = 655 × 655 = 429,025.
The cost to paint the fence = 429,025 × 1.5 = 643,537.5.
The total cost = 643,537.5 dollars
Explanation
To find the cost to paint the fence, we multiply the area of the fence by the cost to paint per foot. So, the total cost is 643,537.5 dollars.
Problem 3
Find the area of a circle whose radius is 655 meters.
The area of the circle = 1,349,533.5 m²
Explanation
The area of a circle = πr²
Here, r = 655
Therefore, the area of the circle = π × 655² = 3.14 × 655 × 655 = 1,349,533.5 m².
Problem 4
The area of the square is 429,025 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 429,025 cm²
The length of the side is √429,025 = 655
Perimeter of the square = 4a
Here, a = 655
Therefore, the perimeter = 4 × 655 = 2,620.
Problem 5
Find the square of 656.
The square of 656 is 430,336
Explanation
The square of 656 is multiplying 656 by 656.
So, the square = 656 × 656 = 430,336
FAQs on Square of 655
1.What is the square of 655?
2.What is the square root of 655?
3.Is 655 a prime number?
4.What are the first few multiples of 655?
5.What is the square of 654?
Important Glossaries for Square 655.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 2³, 3 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. The square root of 49 is 7 because 7² = 49.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.
- Multiples: Multiples of a number are obtained by multiplying the number by integers. For example, multiples of 3 are 3, 6, 9, 12, etc.
Explore More algebra
Previous to Square of 655
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.
