129 LearnersLast updated on May 29th, 2025
Square of 7200
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 7200.
What is the Square of 7200
The square of a number is the product of the number itself.
The square of 7200 is 7200 × 7200.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 7200², where 7200 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 7200 is 7200 × 7200 = 51,840,000.
Square of 7200 in exponential form: 7200²
Square of 7200 in arithmetic form: 7200 × 7200
How to Calculate the Value of Square of 7200
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 7200.
Step 1: Identify the number. Here, the number is 7200.
Step 2: Multiplying the number by itself, we get, 7200 × 7200 = 51,840,000.
The square of 7200 is 51,840,000.
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 7200.
So: 7200² = 7200 × 7200 = 51,840,000
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 7200.
Step 1: Enter the number in the calculator Enter 7200 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 7200 × 7200
Step 3: Press the equal to button to find the answer Here, the square of 7200 is 51,840,000.
Tips and Tricks for the Square of 7200
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 7200
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 else by swapping 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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 7200² with (7000 + 200)² or (70 + 2)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept 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 the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 7200
Problem 1
Find the length of the square, where the area of the square is 51,840,000 cm².
The area of a square = a² So, the area of a square = 51,840,000 cm² So, the length = √51,840,000 = 7200. The length of each side = 7200 cm
Explanation
The length of a square is 7200 cm.
Because the area is 51,840,000 cm² the length is √51,840,000 = 7200.
Problem 2
Mia is planning to carpet her square room of length 7200 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 7200 feet The cost to carpet 1 square foot of 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 = 7200 Therefore, the area of the room = 7200² = 7200 × 7200 = 51,840,000. The cost to carpet the room = 51,840,000 × 5 = 259,200,000. The total cost = 259,200,000 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 259,200,000 dollars.
Problem 3
Find the area of a circle whose radius is 7200 meters.
The area of the circle = 162,854,400 m²
Explanation
The area of a circle = πr²
Here, r = 7200
Therefore, the area of the circle = π × 7200² = 3.14 × 7200 × 7200 = 162,854,400 m².
Problem 4
The area of the square is 51,840,000 cm². Find the perimeter of the square.
The perimeter of the square is 28,800 cm.
Explanation
The area of the square = a²
Here, the area is 51,840,000 cm²
The length of the side is √51,840,000 = 7200
Perimeter of the square = 4a
Here, a = 7200
Therefore, the perimeter = 4 × 7200 = 28,800.
Problem 5
Find the square of 7300.
The square of 7300 is 53,290,000.
Explanation
The square of 7300 is multiplying 7300 by 7300.
So, the square = 7300 × 7300 = 53,290,000.
FAQs on Square of 7200
1.What is the square of 7200?
2.What is the square root of 7200?
3.Is 7200 a perfect square?
4.What are the first few multiples of 7200?
5.What is the square of 7100?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 7200?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 7200?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 7200.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because 6 × 6 = 36.
- Exponential form: The way of writing a number using a base and an exponent. For example, 92 where 9 is the base and 2 is the exponent.
- Square root: The value that when multiplied by itself gives the original number. For example, the square root of 49 is 7.
- Multiples: A multiple of a number is the product of that number and an integer. For example, the multiples of 3 are 3, 6, 9, 12, and so on.
- Perimeter: The total distance around the edge of a geometric figure. For a square, it is 4 times the length of one side.
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About BrightChamps in United Arab Emirates
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.
