120 LearnersLast updated on May 26th, 2025
Square of 0.25
The product of multiplying a number by itself is the square of a number. Square calculations are frequently used in programming, calculating areas, and more. In this topic, we will discuss the square of 0.25.
What is the Square of 0.25
The square of a number is the product of the number with itself. The square of 0.25 is 0.25 × 0.25. The square of a number can end in various digits. We write it in math as (0.252), where 0.25 is the base and 2 is the exponent. The square of a positive or negative number is always positive. For example, (0.52 = 0.25); ((-0.5)2 = 0.25)
The square of 0.25 is (0.25 × 0.25 = 0.0625).
Square of 0.25 in exponential form: (0.252)
Square of 0.25 in arithmetic form: 0.25 × 0.25
How to Calculate the Value of Square of 0.25
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 0.25.
Step 1: Identify the number. Here, the number is 0.25.
Step 2: Multiplying the number by itself, we get: 0.25 × 0.25 = 0.0625.
The square of 0.25 is 0.0625.
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: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 0.25. So: (0.252 = 0.25 × 0.25 = 0.0625).
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 0.25.
Step 1: Enter the number in the calculator Enter 0.25 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 0.25 × 0.25.
Step 3: Press the equal to button to find the answer. Here, the square of 0.25 is 0.0625.
Tips and Tricks for the Square of 0.25: 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 number less than 1 is always less than the number itself.
- Fractions and decimals can be squared using the same methods as whole numbers.
- The square of a positive decimal less than 1 is always positive and less than the original number.
- The square root of a decimal is a number that when squared gives back the original decimal.
- Understanding decimal multiplication is key to finding squares of decimals.
Common Mistakes to Avoid When Calculating the Square of 0.25
Mistakes are common 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 mostly happen when steps are skipped or digits are swapped. To avoid it, double-check the answer. You can double-check by finding the square root of the solution. For example, the square of 0.5 is 0.25, and the square root of 0.25 is ±0.5.
Solved Examples on Square of 0.25
Problem 1
Find the length of a square, where the area of the square is 0.0625 cm².
The area of a square = (a2)
So, the area of a square = 0.0625 cm²
So, the length = √0.0625 = 0.25.
The length of each side = 0.25 cm
Explanation
The length of a square is 0.25 cm. Because the area is 0.0625 cm², the length is √0.0625 = 0.25.
Problem 2
Sarah is planning to paint a square tile of length 0.25 meters. The cost to paint a square meter is 20 dollars. Then how much will it cost to paint the full tile?
The length of the tile = 0.25 meters
The cost to paint 1 square meter = 20 dollars.
To find the total cost to paint, we find the area of the tile,
Area of the tile = area of the square = (a2)
Here (a = 0.25)
Therefore, the area of the tile = (0.252 = 0.25 × 0.25 = 0.0625)
The cost to paint the tile = 0.0625 × 20 = 1.25.
The total cost = 1.25 dollars
Explanation
To find the cost to paint the tile, we multiply the area of the tile by the cost to paint per square meter. So, the total cost is 1.25 dollars.
Problem 3
Find the area of a circle whose radius is 0.25 meters.
The area of the circle = 0.1963 m²
Explanation
The area of a circle = πr²
Here, r = 0.25
Therefore, the area of the circle = π × (0.252) = 3.14 × 0.25 × 0.25 = 0.1963 m².
Problem 4
The area of a square is 0.0625 cm². Find the perimeter of the square.
The perimeter of the square is 1 cm.
Explanation
The area of the square = (a2)
Here, the area is 0.0625 cm²
The length of the side is √0.0625 = 0.25
Perimeter of the square = 4a
Here, a = 0.25
Therefore, the perimeter = 4 × 0.25 = 1 cm.
Problem 5
Find the square of 0.3.
The square of 0.3 is 0.09
Explanation
The square of 0.3 is multiplying 0.3 by 0.3. So, the square = 0.3 × 0.3 = 0.09
FAQs on Square of 0.25
1.What is the square of 0.25?
2.What is the square root of 0.25?
3.Is 0.25 a fraction?
4.What are the first few multiples of 0.25?
5.What is the square of 0.2?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 0.25?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 0.25?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 0.25
- Decimal: A number that includes a decimal point followed by digits showing values less than one.
- Exponential form: A way of writing numbers using exponents. For example, (0.252) where 0.25 is the base and 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perimeter: The total length of the sides of a two-dimensional shape.
- Area: The measure of the extent of a two-dimensional surface or shape in a plane.
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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.
