131 LearnersLast updated on May 29th, 2025
Square of 9801
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 9801.
What is the Square of 9801
The square of a number is the product of the number itself.
The square of 9801 is 9801 × 9801.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 9801², where 9801 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 9801 is 9801 × 9801 = 96059601.
Square of 9801 in exponential form: 9801²
Square of 9801 in arithmetic form: 9801 × 9801
How to Calculate the Value of Square of 9801
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 9801.
Step 1: Identify the number. Here, the number is 9801
Step 2: Multiplying the number by itself, we get, 9801 × 9801 = 96059601.
The square of 9801 is 96059601.
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 9801
So: 9801² = 9801 × 9801 = 96059601
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 9801.
Step 1: Enter the number in the calculator Enter 9801 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 9801 × 9801
Step 3: Press the equal to button to find the answer Here, the square of 9801 is 96059601.
Tips and Tricks for the Square of 9801
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 9801
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 9801² with (9 + 8 + 0 + 1)² or (9000 + 801)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 9801
Problem 1
Find the dimensions of a square plot where the area of the square is 96059601 square meters.
The area of a square = a² So, the area of a square = 96059601 m² So, the length = √96059601 = 9801. The length of each side = 9801 meters
Explanation
The length of a square plot is 9801 meters.
Because the area is 96059601 m², the length is √96059601 = 9801.
Problem 2
A company wants to cover its square-shaped solar panel field of length 9801 meters with protective material that costs 2 dollars per square meter. How much will it cost to cover the entire field?
The length of the field = 9801 meters The cost to cover 1 square meter of the field = 2 dollars. To find the total cost to cover, we find the area of the field, Area of the field = area of the square = a² Here a = 9801 Therefore, the area of the field = 9801² = 9801 × 9801 = 96059601. The cost to cover the field = 96059601 × 2 = 192119202. The total cost = 192119202 dollars
Explanation
To find the cost to cover the field, we multiply the area of the field by the cost to cover per square meter.
So, the total cost is 192119202 dollars.
Problem 3
Find the area of a circle whose radius is 9801 meters.
The area of the circle = 301601732.14 m²
Explanation
The area of a circle = πr²
Here, r = 9801
Therefore, the area of the circle = π × 9801² = 3.14 × 9801 × 9801 = 301601732.14 m².
Problem 4
The area of a square is 96059601 square centimeters. Find the perimeter of the square.
The perimeter of the square is 39204 centimeters.
Explanation
The area of the square = a²
Here, the area is 96059601 cm²
The length of the side is √96059601 = 9801
Perimeter of the square = 4a
Here, a = 9801
Therefore, the perimeter = 4 × 9801 = 39204.
Problem 5
Find the square of 9802.
The square of 9802 is 96079204.
Explanation
The square of 9802 is multiplying 9802 by 9802.
So, the square = 9802 × 9802 = 96079204.
FAQs on Square of 9801
1.What is the square of 9801?
2.What is the square root of 9801?
3.Is 9801 a perfect square?
4.What are the first few multiples of 9801?
5.What is the square of 9800?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 9801?
8.How do technology and digital tools in United States support learning Algebra and Square of 9801?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 9801.
- Perfect square: A number that is the square of an integer. For example, 9801 is a perfect square because its square root is 99.
- Exponential form: Writing a number in the form of a power. For example, 3² where 3 is the base and 2 is the exponent.
- Square root: The inverse operation of squaring a number. For example, √144 = 12.
- Perimeter: The total length around a geometric figure, such as the boundary of a square.
- Radius: The distance from the center of a circle to its edge, used in calculating the area of a circle.
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Jaskaran Singh Saluja
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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.
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