128 LearnersLast updated on May 29th, 2025
Square of 14400
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 the topic, we will discuss the square of 14400.
What is the Square of 14400
The square of a number is the product of the number by itself.
The square of 14400 is 14400 × 14400.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 14400², where 14400 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 14400 is 14400 × 14400 = 207360000.
Square of 14400 in exponential form: 14400²
Square of 14400 in arithmetic form: 14400 × 14400
How to Calculate the Value of Square of 14400
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 14400.
Step 1: Identify the number. Here, the number is 14400
Step 2: Multiplying the number by itself, we get, 14400 × 14400 = 207360000.
The square of 14400 is 207360000.
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 14400
So: 14400² = 14400 × 14400 = 207360000
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 14400.
Step 1: Enter the number in the calculator Enter 14400 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 14400 × 14400
Step 3: Press the equal to button to find the answer Here, the square of 14400 is 207360000.
Tips and Tricks for the Square of 14400
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 14400
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 14400² with (14000 + 400)² or (14000 + 400)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 14400
Problem 1
Find the length of the square, where the area of the square is 207360000 cm².
The area of a square = a² So, the area of a square = 207360000 cm² So, the length = √207360000 = 14400. The length of each side = 14400 cm
Explanation
The length of a square is 14400 cm.
Because the area is 207360000 cm², the length is √207360000 = 14400.
Problem 2
Sarah is paving her square backyard of length 14400 feet. The cost to pave a foot is 5 dollars. Then how much will it cost to pave the full backyard?
The length of the backyard = 14400 feet The cost to pave 1 square foot of the backyard = 5 dollars. To find the total cost to pave, we find the area of the backyard, Area of the backyard = area of the square = a² Here a = 14400 Therefore, the area of the backyard = 14400² = 14400 × 14400 = 207360000. The cost to pave the backyard = 207360000 × 5 = 1036800000. The total cost = 1036800000 dollars
Explanation
To find the cost to pave the backyard, we multiply the area of the backyard by the cost to pave per foot.
So, the total cost is 1036800000 dollars.
Problem 3
Find the area of a circle whose radius is 14400 meters.
The area of the circle = 651,206,400 m²
Explanation
The area of a circle = πr²
Here, r = 14400
Therefore, the area of the circle = π × 14400² = 3.14 × 14400 × 14400 = 651,206,400 m².
Problem 4
The area of the square is 207360000 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 207360000 cm²
The length of the side is √207360000 = 14400
Perimeter of the square = 4a
Here, a = 14400
Therefore, the perimeter = 4 × 14400 = 57600.
Problem 5
Find the square of 14500.
The square of 14500 is 210250000
Explanation
The square of 14500 is multiplying 14500 by 14500.
So, the square = 14500 × 14500 = 210250000
FAQs on Square of 14400
1.What is the square of 14400?
2.What is the square root of 14400?
3.Is 14400 a perfect square?
4.What are the first few multiples of 14400?
5.What is the square of 14300?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 14400?
8.How do technology and digital tools in Australia support learning Algebra and Square of 14400?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 14400.
- Perfect square: A number that is the square of an integer. For example, 14400 is a perfect square because 14400 = 120².
- Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 14400², 2 is the exponent.
- Square root: The number whose square is the given number. For example, the square root of 14400 is 120.
- Multiplication: The arithmetic operation of scaling one number by another. For example, 14400 × 14400.
- Area: The measure of space within a 2-dimensional shape. For example, the area of a square with side 14400 is 207360000.
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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
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