100 LearnersLast updated on May 27th, 2025
Square of 753
The product of multiplying an integer 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 753.
What is the Square of 753
The square of a number is the product of the number and itself.
The square of 753 is 753 × 753.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 753², where 753 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 753 is 753 × 753 = 566,009.
Square of 753 in exponential form: 753²
Square of 753 in arithmetic form: 753 × 753
How to Calculate the Value of Square of 753
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number using common methods.
- By Multiplication Method
- Using a Formula(a2)
- 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 753.
Step 1: Identify the number. Here, the number is 753.
Step 2: Multiply the number by itself, we get, 753 × 753 = 566,009.
The square of 753 is 566,009.
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 753. So: 753² = 753 × 753 = 566,009.
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 753.
Step 1: Enter the number in the calculator Enter 753 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 753 × 753
Step 3: Press the equal to button to find the answer Here, the square of 753 is 566,009.
Tips and Tricks for the Square of 753
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 753
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 swap 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 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of 753
Problem 1
Find the length of a square, where the area of the square is 566,009 cm².
The area of a square = a²
So, the area of a square = 566,009 cm²
So, the length = √566,009 = 753.
The length of each side = 753 cm
Explanation
The length of a square is 753 cm.
Because the area is 566,009 cm², the length is √566,009 = 753.
Problem 2
Sarah is planning to carpet her square room of length 753 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the entire room?
The length of the room = 753 feet
The cost to carpet 1 square foot of the room = 5 dollars.
To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a²
Here a = 753
Therefore, the area of the room = 753² = 753 × 753 = 566,009.
The cost to carpet the room = 566,009 × 5 = 2,830,045.
The total cost = 2,830,045 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.
So, the total cost is 2,830,045 dollars.
Problem 3
Find the area of a circle whose radius is 753 meters.
The area of the circle = 1,781,519.42 m²
Explanation
The area of a circle = πr²
Here, r = 753
Therefore, the area of the circle = π × 753² = 3.14 × 753 × 753 = 1,781,519.42 m².
Problem 4
The area of the square is 580,644 cm². Find the perimeter of the square.
The perimeter of the square is 3,064 cm.
Explanation
The area of the square = a²
Here, the area is 580,644 cm²
The length of the side is √580,644 = 762
Perimeter of the square = 4a
Here, a = 762
Therefore, the perimeter = 4 × 762 = 3,048.
Problem 5
Find the square of 754.
The square of 754 is 568,516.
Explanation
The square of 754 is found by multiplying 754 by 754.
So, the square = 754 × 754 = 568,516.
FAQs on Square of 753
1.What is the square of 753?
2.What is the square root of 753?
3.Is 753 a prime number?
4.What are the first few multiples of 753?
5.What is the square of 752?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 753?
8.How do technology and digital tools in Thailand support learning Algebra and Square of 753?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Square of 753.
- Square: The result of multiplying an integer by itself, such as 5² = 25.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Multiplication method: A method of finding the square by multiplying the number by itself.
- Exponential form: Writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the exponent.
- Area: The measurement of the surface within a boundary, often measured in square units.
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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.
