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548 LearnersLast updated on August 5, 2025
Square of 1.25
What is the Square of 1.25
The square of a number is the product of the number by itself. The square of 1.25 is 1.25 × 1.25. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 1.25 is 1.25 × 1.25 = 1.5625.
Square of 1.25 in exponential form: (1.25)²
Square of 1.25 in arithmetic form: 1.25 × 1.25
How to Calculate the Value of Square of 1.25
The square of a number is obtained by multiplying the number by itself. Let’s learn how to find the square of a number through different methods.
- 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 1.25.
Step 1: Identify the number. Here, the number is 1.25
Step 2: Multiplying the number by itself, we get, 1.25 × 1.25 = 1.5625.
The square of 1.25 is 1.5625.
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Using a Formula (a²)
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 1.25.
Step 1: Enter the number in the calculator Enter 1.25 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1.25 × 1.25
Step 3: Press the equal to button to find the answer Here, the square of 1.25 is 1.5625.
Tips and Tricks for the Square of 1.25: Tips and tricks make it easy to understand and learn the square of a number. To master the square of a number, these tips and tricks will help. -
- The square of a number can also be found using the formula (a + b)² = a² + 2ab + b² for numbers in the form of (a + b).
- The square of a number with a fractional part can be estimated by squaring the integer and fractional parts separately and adding them, though this is an approximation.
- 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.
Common Mistakes to Avoid When Calculating the Square of 1.25
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 found. For example, the square of 1.25 is 1.5625, and the square root of 1.5625 is ±1.25.
Mistake 2
Errors when using the formula.
The formula to find the square of a number is a². Errors may occur with incorrect application, such as using (1 + 0.25)² instead of 1.25². Ensure the correct formula is used and double-check 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 it, understand that square and square root are inverse operations. The square of 1.25 is 1.5625 and the square root of 1.5625 is ±1.25.
Mistake 4
Errors in decimal placement.
Misplacing the decimal point can lead to errors. Ensure careful multiplication to keep decimals in the correct place.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Regular practice helps avoid errors.
Solved Examples on Square of 1.25
Problem 1
Find the length of the square, where the area of the square is 1.5625 cm².
The area of a square = a²
So, the area of a square = 1.5625 cm²
So, the length = √1.5625 = 1.25.
The length of each side = 1.25 cm
Explanation
The length of a square is 1.25 cm. Because the area is 1.5625 cm², the length is √1.5625 = 1.25.
Problem 2
Anna wants to tile a square kitchen floor with a side length of 1.25 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 = 1.25 meters
The cost to tile 1 square meter of the floor = 10 dollars.
To find the total cost to tile, find the area of the floor,
Area of the floor = area of the square = a²
Here a = 1.25
Therefore, the area of the floor = (1.25)² = 1.25 × 1.25 = 1.5625.
The cost to tile the floor = 1.5625 × 10 = 15.625.
The total cost = 15.625 dollars
Explanation
To find the cost to tile the floor, multiply the area of the floor by the cost to tile per square meter. The total cost is 15.625 dollars.
Problem 3
Find the area of a circle whose radius is 1.25 meters.
The area of the circle = 4.9087 m²
Explanation
The area of a circle = πr²
Here, r = 1.25
Therefore, the area of the circle = π × (1.25)² = 3.14 × 1.25 × 1.25 = 4.9087 m².
Problem 4
The area of a square is 1.5625 cm². Find the perimeter of the square.
The perimeter of the square is 5 cm.
Explanation
The area of the square = a²
Here, the area is 1.5625 cm²
The length of the side is √1.5625 = 1.25
Perimeter of the square = 4a
Here, a = 1.25
Therefore, the perimeter = 4 × 1.25 = 5.
Problem 5
Find the square of 1.5.
The square of 1.5 is 2.25
Explanation
The square of 1.5 is obtained by multiplying 1.5 by 1.5. So, the square = 1.5 × 1.5 = 2.25
FAQs on Square of 1.25
1.What is the square of 1.25?
2.What is the square root of 1.25?
3.Is 1.25 a whole number?
4.What is the square of 1?
5.Why is the square of a negative number positive?
Important Glossaries for Square of 1.25.
- Decimal number: A number that includes a decimal point followed by digits.
- Exponential form: Writing a number in terms of a base and an exponent, such as (1.25)².
- Square root: The inverse operation of finding the square. The square root of a number is a number whose square is the original number.
- Perfect square: A number that is the square of an integer.
- Multiplication: The mathematical operation of scaling one number by another.
Vikrant Sharma
About the Author
Vikrant Sharma 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.
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