212 LearnersLast updated on May 26th, 2025
Square of 2.25
The product of multiplying a number by itself is the square of that number. Squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 2.25.
What is the Square of 2.25
The square of a number is the product of the number itself. The square of 2.25 is 2.25 × 2.25. The square of a number can end in any digit, but certain properties hold, such as the square of positive and negative numbers always being positive. For example, 2.52 = 6.25; -2.52 = 6.25.
The square of 2.25 is 2.25 × 2.25 = 5.0625.
Square of 2.25 in exponential form: 2.25²
Square of 2.25 in arithmetic form: 2.25 × 2.25
How to Calculate the Value of Square of 2.25
The square of a number is found by multiplying the number by itself. 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 2.25.
Step 1: Identify the number. Here, the number is 2.25.
Step 2: Multiplying the number by itself, we get, 2.25 × 2.25 = 5.0625.
The square of 2.25 is 5.0625.
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: Identify the number and substitute the value in the equation.
Here, ‘a’ is 2.25 So: 2.25² = 2.25 × 2.25 = 5.0625
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 2.25.
Step 1: Enter the number in the calculator Enter 2.25 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 2.25 × 2.25
Step 3: Press the equals button to find the answer Here, the square of 2.25 is 5.0625.
Tips and Tricks for the Square of 2.25: 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 a decimal number can end in any digit, unlike integers.
- The square of a positive number is always positive.
- The square of a negative number is also positive.
- If the square root of a number is irrational, the number is not a perfect square.
- The square root of a perfect square is always a rational number.
Common Mistakes to Avoid When Calculating the Square of 2.25
Mistakes are common among students when doing math, especially when 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 often occur when students skip steps or swap digits. To avoid this, students should double-check their answers. They can do this by finding the square root of the solution they found. For example, the square of 1.5 is 2.25, and the square root of 2.25 is ±1.5.
Mistake 2
Errors in using the formula.
The formula to find the square of the number is a². Instead, students may incorrectly use (2+0.25)² or (2+0.25)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. To avoid this, students should understand that square and square root are inverse operations. The square of 1.5 is 2.25 and the square root of 2.25 is ±1.5.
Mistake 4
Errors in handling decimals.
Ignoring proper decimal placement when finding the square of a number can lead to errors. Students should carefully manage decimal points to avoid mistakes.
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 2.25
Problem 1
Find the side length of a square, where the area of the square is 5.0625 cm².
The area of a square = a²
So, the area of a square = 5.0625 cm²
So, the length = √5.0625 = 2.25.
The length of each side = 2.25 cm
Explanation
The length of a square is 2.25 cm
because the area is 5.0625 cm², and the length is √5.0625 = 2.25.
Problem 2
Anna is planning to tile her square kitchen floor of length 2.25 meters. The cost to tile a square meter is 10 dollars. How much will it cost to tile the full floor?
The length of the floor = 2.25 meters
The cost to tile 1 square meter of the floor = 10 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 = 2.25
Therefore, the area of the floor = 2.25² = 2.25 × 2.25 = 5.0625 m².
The cost to tile the floor = 5.0625 × 10 = 50.625.
The total cost = 50.625 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square meter. So, the total cost is 50.625 dollars.
Problem 3
Find the area of a circle whose radius is 2.25 meters.
The area of the circle = 15.9043 m²
Explanation
The area of a circle = πr²
Here, r = 2.25
Therefore, the area of the circle = π × 2.25² = 3.14 × 2.25 × 2.25 = 15.9043 m².
Problem 4
The area of a square is 5.0625 cm². Find the perimeter of the square.
The perimeter of the square is 9 cm.
Explanation
The area of the square = a²
Here, the area is 5.0625 cm²
The length of the side is √5.0625 = 2.25
Perimeter of the square = 4a
Here, a = 2.25
Therefore, the perimeter = 4 × 2.25 = 9 cm.
Problem 5
Find the square of 3.
The square of 3 is 9.
Explanation
The square of 3 is found by multiplying 3 by 3. So, the square = 3 × 3 = 9.
FAQs on Square of 2.25
1.What is the square of 2.25?
2.What is the square root of 2.25?
3.Is 2.25 a perfect square?
4.What is the square of 2?
5.What is a decimal number?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 2.25?
8.How do technology and digital tools in Australia support learning Algebra and Square of 2.25?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square of 2.25
- Decimal Number: A number that includes a decimal point, representing a fraction of a whole.
- Exponential Form: A mathematical representation of a number as a base raised to a power, such as 2.25².
- Square: The result of multiplying a number by itself.
- Square Root: The value that, when multiplied by itself, gives the original number, such as the square root of 5.0625 is ±2.25.
- Perfect Square: A number that is the square of an integer or a rational 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
: He loves to play the quiz with kids through algebra to make kids love it.
