116 LearnersLast updated on May 26th, 2025
Square of 2.5
The product of multiplying a number 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 2.5.
What is the Square of 2.5
The square of a number is the product of the number with itself. The square of 2.5 is 2.5 × 2.5. The square of a number can end in various digits. We write it in math as 2.5², where 2.5 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 2.5 is 2.5 × 2.5 = 6.25.
Square of 2.5 in exponential form: 2.5²
Square of 2.5 in arithmetic form: 2.5 × 2.5
How to Calculate the Value of the Square of 2.5
The square of a number is obtained by 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 2.5
Step 1: Identify the number. Here, the number is 2.5
Step 2: Multiplying the number by itself, we get, 2.5 × 2.5 = 6.25.
The square of 2.5 is 6.25.
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 2.5 So: 2.5² = 2.5 × 2.5 = 6.25
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 2.5.
Step 1: Enter the number in the calculator Enter 2.5 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 2.5 × 2.5
Step 3: Press the equal to button to find the answer Here, the square of 2.5 is 6.25.
Tips and Tricks for the Square of 2.5: 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 2.5
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 2.5 is 6.25, and the square root of 6.25 is ±2.5.
Solved Examples on Square of 2.5
Problem 1
Find the length of a square where the area of the square is 6.25 cm².
The area of a square = a²
So, the area of a square = 6.25 cm²
So, the length = √6.25 = 2.5.
The length of each side = 2.5 cm
Explanation
The length of a square is 2.5 cm.
Because the area is 6.25 cm², the length is √6.25 = 2.5.
Problem 2
Jane wants to tile her square kitchen floor with tiles, each tile measuring 2.5 feet. If the cost per tile is 5 dollars, how much will it cost to tile the entire floor?
The length of the floor = 2.5 feet
The cost to tile 1 square foot of floor = 5 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 = 2.5
Therefore, the area of the floor = 2.5² = 2.5 × 2.5 = 6.25.
The cost to tile the floor = 6.25 × 5 = 31.25.
The total cost = 31.25 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost per tile. So, the total cost is 31.25 dollars.
Problem 3
Find the area of a circle whose radius is 2.5 meters.
The area of the circle = 19.63 m²
Explanation
The area of a circle = πr²
Here, r = 2.5
Therefore, the area of the circle = π × 2.5² = 3.14 × 2.5 × 2.5 = 19.63 m².
Problem 4
The area of a square is 6.25 cm². Find the perimeter of the square.
The perimeter of the square is 10 cm.
Explanation
The area of the square = a²
Here, the area is 6.25 cm²
The length of the side is √6.25 = 2.5
Perimeter of the square = 4a
Here, a = 2.5
Therefore, the perimeter = 4 × 2.5 = 10.
Problem 5
Find the square of 3.
The square of 3 is 9.
Explanation
The square of 3 is multiplying 3 by 3. So, the square = 3 × 3 = 9.
FAQs on Square of 2.5
1.What is the square of 2.5?
2.What is the square root of 2.5?
3.Is 2.5 a rational number?
4.What is the square of 2?
5.What is the product of 2.5 and 3?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 2.5?
8.How do technology and digital tools in United States support learning Algebra and Square of 2.5?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 2.5.
- Rational number: A number that can be expressed as a fraction of two integers, where the denominator is not zero. For example, 2.5 can be written as 5/2.
- Exponent: The number that indicates how many times to multiply the base by itself. For example, in 2.5², 2 is the exponent.
- 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.
- Perfect square: A number that is the square of an integer. For example, 4 is a perfect square because it is 2².
- Decimal number: A number that includes a decimal point, representing a whole number plus a fraction of a whole number. For example, 2.5 is a decimal number.
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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
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