135 LearnersLast updated on May 30th, 2025
Square of 1098
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 1098.
What is the Square of 1098
The square of a number is the product of the number itself.
The square of 1098 is 1098 × 1098.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1098², where 1098 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 1098 is 1098 × 1098 = 1,205,604.
Square of 1098 in exponential form: 1098²
Square of 1098 in arithmetic form: 1098 × 1098
How to Calculate the Value of Square of 1098
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 1098.
Step 1: Identify the number. Here, the number is 1098.
Step 2: Multiplying the number by itself, we get, 1098 × 1098 = 1,205,604.
The square of 1098 is 1,205,604.
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 1098
So: 1098² = 1098 × 1098 = 1,205,604
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 1098.
Step 1: Enter the number in the calculator Enter 1098 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 1098 × 1098
Step 3: Press the equal to button to find the answer Here, the square of 1098 is 1,205,604.
Tips and Tricks for the Square of 1098
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 1098
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 1098² with (10 + 98)² or (1000 + 98)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 1098
Problem 1
Find the length of the square, where the area of the square is 1,205,604 cm².
The area of a square = a² So, the area of a square = 1,205,604 cm² So, the length = √1,205,604 = 1098. The length of each side = 1098 cm
Explanation
The length of a square is 1098 cm.
Because the area is 1,205,604 cm² the length is √1,205,604 = 1098.
Problem 2
Sara is planning to lay tiles on her square floor of length 1098 feet. The cost to lay a square foot of tile is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 1098 feet The cost to lay 1 square foot of tile = is 5 dollars. To find the total cost to lay tiles, we find the area of the floor, Area of the floor = area of the square = a² Here a = 1098 Therefore, the area of the floor = 1098² = 1098 × 1098 = 1,205,604. The cost to lay the tiles = 1,205,604 × 5 = 6,028,020. The total cost = 6,028,020 dollars
Explanation
To find the cost to lay the tiles, we multiply the area of the floor by the cost to lay per foot.
So, the total cost is 6,028,020 dollars.
Problem 3
Find the area of a circle whose radius is 1098 meters.
The area of the circle = 3,789,854.64 m²
Explanation
The area of a circle = πr²
Here, r = 1098
Therefore, the area of the circle = π × 1098² = 3.14 × 1098 × 1098 = 3,789,854.64 m².
Problem 4
The area of the square is 1,205,604 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,205,604 cm²
The length of the side is √1,205,604 = 1098
Perimeter of the square = 4a
Here, a = 1098
Therefore, the perimeter = 4 × 1098 = 4392.
Problem 5
Find the square of 1099.
The square of 1099 is 1,208,801
Explanation
The square of 1099 is multiplying 1099 by 1099.
So, the square = 1099 × 1099 = 1,208,801
FAQs on Square of 1098
1.What is the square of 1098?
2.What is the square root of 1098?
3.Is 1098 a perfect square?
4.What are the first few multiples of 1098?
5.What is the square of 1097?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 1098?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 1098?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 1098.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Even number: An integer that is exactly divisible by 2. For example, 2, 4, 6, 8, etc.
- Odd number: An integer that is not divisible by 2. For example, 1, 3, 5, 7, etc.
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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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