129 LearnersLast updated on June 3rd, 2025
Square of 25
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 25.
What is the Square of 25
The square of a number is the product of the number multiplied by itself. The square of 25 is 25 × 25. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 25², where 25 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 25 is 25 × 25 = 625.
Square of 25 in exponential form: 25²
Square of 25 in arithmetic form: 25 × 25
How to Calculate the Value of the Square of 25
The square of a number is found by multiplying the number by itself. 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 25.
Step 1: Identify the number. Here, the number is 25.
Step 2: Multiplying the number by itself, we get, 25 × 25 = 625.
The square of 25 is 625.
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 25.
So: 25² = 25 × 25 = 625
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 25.
Step 1: Enter the number in the calculator. Enter 25 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 25 × 25.
Step 3: Press the equal to button to find the answer. Here, the square of 25 is 625.
Tips and Tricks for the Square of 25
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 25
Mistakes are common among kids 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 the steps or swap the digits. To avoid this, 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 the number is a². Instead, students may incorrectly use other formulas like (2 + 5)² or (20 + 5)². Students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square and square root:
Not understanding the concept of square and square root can lead to confusion among students. To avoid this, 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 parentheses when finding the square of a number can lead to errors. 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. Students should practice regularly to avoid errors.
Solved Examples on Square of 25
Problem 1
Find the length of a square where the area of the square is 625 cm².
The area of a square = a²
So, the area of the square = 625 cm²
So, the length = √625 = 25.
The length of each side = 25 cm
Explanation
The length of a square is 25 cm because the area is 625 cm², and the length is √625 = 25.
Problem 2
Anna wants to build a square garden with each side measuring 25 meters. If the cost to build each square meter is 5 dollars, how much will it cost to build the entire garden?
The length of the garden = 25 meters
The cost to build 1 square meter of garden = 5 dollars.
To find the total cost to build, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 25
Therefore, the area of the garden = 25² = 25 × 25 = 625.
The cost to build the garden = 625 × 5 = 3125.
The total cost = 3125 dollars
Explanation
To find the cost to build the garden, we multiply the area of the garden by the cost to build per square meter. So, the total cost is 3125 dollars.
Problem 3
Find the area of a circle whose radius is 25 meters.
The area of the circle = 1,962.5 m²
Explanation
The area of a circle = πr²
Here, r = 25
Therefore, the area of the circle = π × 25²
= 3.14 × 25 × 25
= 1,962.5 m².
Problem 4
The area of a square is 625 cm². Find the perimeter of the square.
The perimeter of the square is 100 cm.
Explanation
The area of the square = a²
Here, the area is 625 cm²
The length of the side is √625 = 25
Perimeter of the square = 4a
Here, a = 25
Therefore, the perimeter = 4 × 25 = 100 cm.
Problem 5
Find the square of 26.
The square of 26 is 676.
Explanation
The square of 26 is found by multiplying 26 by 26.
So, the square = 26 × 26 = 676.
FAQs on Square of 25
1.What is the square of 25?
2.What is the square root of 25?
3.Is 25 a prime number?
4.What are the first few multiples of 25?
5.What is the square of 24?
Important Glossary for Square of 25
- Square: The result of multiplying a number by itself. For example, 25² = 625.
- Perfect Square: A number that is the square of an integer. For example, 625 is a perfect square.
- Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 25², 2 is the exponent.
- Area: The extent of a two-dimensional surface. The area of a square is a², where a is the side length.
- Square Root: The value that, when multiplied by itself, gives the original number. For example, the square root of 625 is ±25.
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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.
