126 LearnersLast updated on June 6th, 2025
Square of 5
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 5.
What is the Square of 5
The square of a number is the product of the number with itself. The square of 5 is 5 × 5. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 5², where 5 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 5 is 5 × 5 = 25.
Square of 5 in exponential form: 5²
Square of 5 in arithmetic form: 5 × 5
How to Calculate the Value of Square of 5
The square of a number is finding the product of the number with itself. Let’s learn how to calculate 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 5.
Step 1: Identify the number. Here, the number is 5.
Step 2: Multiplying the number by itself, we get, 5 × 5 = 25.
The square of 5 is 25.
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 5 So: 5² = 5 × 5 = 25
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 5.
Step 1: Enter the number in the calculator. Enter 5 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 5 × 5
Step 3: Press the equal sign button to find the answer.
Here, the square of 5 is 25.
Tips and Tricks for the Square of 5
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 5
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 steps or swap 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 5 is 25, and the square root of 25 is ±5.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may incorrectly use (3 + 2)² or (2 + 3)². So students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of square and square root can lead to confusion. 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 the parentheses when finding the square of a number can lead to errors. So, 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 engage in regular practice to avoid errors.
Solved Examples on Square of 5
Problem 1
Find the length of the square, where the area of the square is 25 cm².
The area of a square = a²
So, the area of a square = 25 cm²
So, the length = √25 = 5.
The length of each side = 5 cm.
Explanation
The length of a square is 5 cm. Because the area is 25 cm², the length is √25 = 5.
Problem 2
Sara is planning to tile her square kitchen floor of length 5 feet. The cost to tile a foot is 4 dollars. How much will it cost to tile the entire floor?
The length of the floor = 5 feet
The cost to tile 1 square foot of the floor = 4 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 5
Therefore, the area of the floor = 5² = 5 × 5 = 25.
The cost to tile the floor = 25 × 4 = 100.
The total cost = 100 dollars.
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 100 dollars.
Problem 3
Find the area of a circle whose radius is 5 meters.
The area of the circle = 78.5 m²
Explanation
The area of a circle = πr²
Here, r = 5
Therefore, the area of the circle = π × 5²
= 3.14 × 5 × 5
= 78.5 m².
Problem 4
The area of the square is 25 cm². Find the perimeter of the square.
The perimeter of the square is 20 cm.
Explanation
The area of the square = a²
Here, the area is 25 cm²
The length of the side is √25 = 5
Perimeter of the square = 4a
Here, a = 5
Therefore, the perimeter = 4 × 5 = 20.
Problem 5
Find the square of 6.
The square of 6 is 36.
Explanation
The square of 6 is found by multiplying 6 by 6. So, the square = 6 × 6 = 36.
FAQs on Square of 5
1.What is the square of 5?
2.What is the square root of 5?
3.Is 5 a prime number?
4.What are the first few multiples of 5?
5.What is the square of 4?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 5?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 5?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square of 5.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of expressing numbers using a base and an exponent. For example, 5², where 5 is the base and 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. It is a number that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 25 is a perfect square because it is 5².
- Even number: A number divisible by 2 without a remainder. For example, 2, 4, 6, 8, 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.
