109 LearnersLast updated on May 26th, 2025
Square of 625
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 625.
What is the Square of 625
The square of a number is the product of the number itself. The square of 625 is 625 × 625. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 625², where 625 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 625 is 625 × 625 = 390625.
Square of 625 in exponential form: 625²
Square of 625 in arithmetic form: 625 × 625
How to Calculate the Value of Square of 625
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 625.
Step 1: Identify the number. Here, the number is 625.
Step 2: Multiplying the number by itself, we get, 625 × 625 = 390625.
The square of 625 is 390625.
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 625 So: 625² = 625 × 625 = 390625
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 625.
Step 1: Enter the number in the calculator Enter 625 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 625 × 625
Step 3: Press the equal to button to find the answer Here, the square of 625 is 390625.
Tips and Tricks for the Square of 625
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 625
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 625
Problem 1
Find the length of the square, where the area of the square is 390625 cm².
The area of a square = a²
So, the area of a square = 390625 cm²
So, the length = √390625 = 625.
The length of each side = 625 cm
Explanation
The length of a square is 625 cm.
Because the area is 390625 cm², the length is √390625 = 625.
Problem 2
Sara is planning to tile her square garden of length 625 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 625 feet
The cost to tile 1 square foot of the 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 = 625
Therefore, the area of the garden = 625² = 625 × 625 = 390625.
The cost to tile the garden = 390625 × 5 = 1953125.
The total cost = 1953125 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 1953125 dollars.
Problem 3
Find the area of a circle whose radius is 25 meters.
The area of the circle = 1963.5 m²
Explanation
The area of a circle = πr²
Here, r = 25
Therefore, the area of the circle = π × 25² = 3.14 × 25 × 25 = 1963.5 m².
Problem 4
The area of the square is 390625 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 390625 cm²
The length of the side is √390625 = 625
Perimeter of the square = 4a
Here, a = 625
Therefore, the perimeter = 4 × 625 = 2500.
Problem 5
Find the square of 26.
The square of 26 is 676
Explanation
The square of 26 is multiplying 26 by 26. So, the square = 26 × 26 = 676
FAQs on Square of 625
1.What is the square of 625?
2.What is the square root of 625?
3.Is 25 a perfect square?
4.What are the first few multiples of 25?
5.What is the square of 36?
Important Glossaries for Square 625.
- Perfect square: A number that is the square of an integer. For example, 625 is a perfect square because 25 × 25 = 625.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 625² where 625 is the base and 2 is the power.
- 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.
- Multiplication: The mathematical operation of combining two numbers to get a product. For example, 625 × 625 = 390625.
- 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, etc.
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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.
