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577 LearnersLast updated on August 5, 2025
Square of 7.5
What is the Square of 7.5
The square of a number is the product of the number with itself. The square of 7.5 is 7.5 × 7.5. The square of a number can end in any digit depending on the number. We write it in math as (7.52), where 7.5 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 7.5 is 7.5 × 7.5 = 56.25.
Square of 7.5 in exponential form: (7.52)
Square of 7.5 in arithmetic form: 7.5 × 7.5
How to Calculate the Value of Square of 7.5
The square of a number is calculated by multiplying the number by itself. Let’s learn how to find the square of a number. These are 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 7.5
Step 1: Identify the number. Here, the number is 7.5
Step 2: Multiply the number by itself, we get, 7.5 × 7.5 = 56.25.
The square of 7.5 is 56.25.
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Using a Formula (\(a^2\))
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 times a)
Step 2: Identify the number and substitute the value in the equation.
Here, ‘a’ is 7.5
So: (7.52 = 7.5 times 7.5 = 56.25\)
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 7.5.
Step 1: Enter the number in the calculator Enter 7.5 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 7.5 × 7.5
Step 3: Press the equal sign to find the answer Here, the square of 7.5 is 56.25.
Tips and Tricks for the Square of 7.5
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 an even number is always even. For example, (62 = 36).
- The square of an odd number is always odd. For example, (52 = 25).
- The last digit of the square of an integer 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, (sqrt{1.44} = 1.2).
- The square root of a perfect square is always a whole number. For example, (sqrt{144} = 12).
Common Mistakes to Avoid When Calculating the Square of 7.5
Mistakes are common 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 steps are skipped or digits are swapped. To avoid this, double-check the answer. Check by finding the square root of the solution found.
For example, the square of 5 is 25, and the square root of 25 is ±5.
Mistake 2
Errors using the formula.
The formula to find the square of the number is (a2). Students should ensure they use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion. 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 parentheses when finding the square of a number can lead to errors. 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. Practice regularly to avoid errors.
Solved Examples on Square of 7.5
Problem 1
Find the side length of a square whose area is 56.25 cm².
The area of a square = (a2)
So, the area of a square = 56.25 cm²
So, the side length = (sqrt{56.25} = 7.5).
The side length of each side = 7.5 cm
Explanation
The side length of a square is 7.5 cm.
Because the area is 56.25 cm², the side length is (sqrt{56.25} = 7.5).
Problem 2
Sarah is planning to tile her square kitchen floor, which has a side length of 7.5 feet. If each tile costs $4, how much will it cost to tile the entire floor?
The side length of the floor = 7.5 feet
The cost of one tile = $4
To find the total cost, we find the area of the floor,
Area of the floor = area of the square = (a2)
Here (a = 7.5)
Therefore, the area of the floor = (7.52 = 7.5 times 7.5 = 56.25).
The cost to tile the floor = 56.25 × 4 = 225.
The total cost = $225
Explanation
To find the cost to tile the floor, multiply the area of the floor by the cost per tile.
So, the total cost is $225.
Problem 3
Calculate the area of a circle with a radius of 7.5 meters.
The area of the circle = 176.71 m²
Explanation
The area of a circle = (pi r2)
Here, (r = 7.5)
Therefore, the area of the circle = (pi times 7.52) = (3.14 times 7.5 times 7.5 = 176.71) m².
Problem 4
The area of a square is 56.25 cm². Find the perimeter of the square.
The perimeter of the square is 30 cm.
Explanation
The area of the square = (a2)
Here, the area is 56.25 cm²
The side length is (sqrt{56.25} = 7.5)
Perimeter of the square = 4a
Here, (a = 7.5)
Therefore, the perimeter = 4 × 7.5 = 30 cm.
Problem 5
Find the square of 8.
The square of 8 is 64.
Explanation
The square of 8 is multiplying 8 by 8.
So, the square = 8 × 8 = 64.
FAQs on Square of 7.5
1.What is the square of 7.5?
2.What is the square root of 7.5?
3.Is 7.5 a whole number?
4.What are the first few multiples of 7.5?
5.What is the square of 7?
Important Glossaries for Square of 7.5
- Decimal number: A number that includes a decimal point, representing a fraction. For example, 7.5, 2.75, etc.
- Exponential form: A way of writing numbers using a base and an exponent. For example, (7.52) where 7.5 is the base and 2 is the exponent.
- Square: The result of multiplying a number by itself, for example, the square of 3 is (32 = 9).
- Square root: The inverse operation of squaring. The square root of 16 is 4 because (42 = 16).
- Perfect square: A number that is the square of an integer, such as 25, which is (52).
Vikrant Sharma
About the Author
Vikrant is a passionate Mathematics teacher with over 5 years of teaching experience in both conventional and Vedic Maths. His student-focused approach combines clear concepts with motivation and encouragement, helping students build confidence and develo
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
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