130 LearnersLast updated on May 30th, 2025
Square of 198
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 198.
What is the Square of 198
The square of a number is the product of the number itself.
The square of 198 is 198 × 198.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 198², where 198 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 198 is 198 × 198 = 39,204.
Square of 198 in exponential form: 198²
Square of 198 in arithmetic form: 198 × 198
How to Calculate the Value of Square of 198
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 198.
Step 1: Identify the number. Here, the number is 198.
Step 2: Multiplying the number by itself, we get, 198 × 198 = 39,204.
The square of 198 is 39,204.
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 198.
So: 198² = 198 × 198 = 39,204
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 198.
Step 1: Enter the number in the calculator Enter 198 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 198 × 198
Step 3: Press the equal to button to find the answer Here, the square of 198 is 39,204.
Tips and Tricks for the Square of 198
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 198
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 198² with (19 + 8)² or (190 + 8)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 198
Problem 1
A plot of land has an area of 39,204 m². What is the length of each side of the plot if it is square-shaped?
The area of a square = a² So, the area of a square = 39,204 m² So, the length = √39,204 = 198. The length of each side = 198 m
Explanation
The length of the square plot is 198 meters.
Because the area is 39,204 m², the length is √39,204 = 198.
Problem 2
A square garden has a length of 198 feet. If the cost to plant flowers is $2 per square foot, how much will it cost to plant the entire garden?
The length of the garden = 198 feet The cost to plant 1 square foot of garden = $2. To find the total cost to plant, we find the area of the garden, Area of the garden = area of the square = a² Here a = 198 Therefore, the area of the garden = 198² = 198 × 198 = 39,204. The cost to plant the garden = 39,204 × $2 = $78,408. The total cost = $78,408
Explanation
To find the cost to plant the garden, we multiply the area of the garden by the cost to plant per foot.
So, the total cost is $78,408.
Problem 3
Find the area of a circle whose radius is 198 meters.
The area of the circle = 123,566.64 m²
Explanation
The area of a circle = πr²
Here, r = 198
Therefore, the area of the circle = π × 198² = 3.14 × 198 × 198 = 123,566.64 m².
Problem 4
The area of a square is 39,204 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 39,204 cm²
The length of the side is √39,204 = 198
Perimeter of the square = 4a
Here, a = 198
Therefore, the perimeter = 4 × 198 = 792.
Problem 5
Find the square of 199.
The square of 199 is 39,601
Explanation
The square of 199 is multiplying 199 by 199.
So, the square = 199 × 199 = 39,601
FAQs on Square of 198
1.What is the square of 198?
2.What is the square root of 198?
3.Is 198 a prime number?
4.What are the first few multiples of 198?
5.What is the square of 197?
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 198?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 198?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 198.
- Square: The result of multiplying a number by itself.
- Prime number: A number only divisible by 1 and itself.
- Exponential form: Writing a number as a base raised to an exponent, e.g., 9².
- Square root: The value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of a whole number.
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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.
