128 LearnersLast updated on May 30th, 2025
Square of 898
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 898.
What is the Square of 898
The square of a number is the product of the number itself.
The square of 898 is 898 × 898.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 898², where 898 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 898 is 898 × 898 = 806,404.
Square of 898 in exponential form: 898²
Square of 898 in arithmetic form: 898 × 898
How to Calculate the Value of Square of 898
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 898
Step 1: Identify the number. Here, the number is 898
Step 2: Multiplying the number by itself, we get, 898 × 898 = 806,404.
The square of 898 is 806,404.
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 898
So: 898² = 898 × 898 = 806,404
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 898.
Step 1: Enter the number in the calculator Enter 898 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 898 × 898
Step 3: Press the equal to button to find the answer
Here, the square of 898 is 806,404.
Tips and Tricks for the Square of 898
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 898
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 898² with (8+9+8)² or (800+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 898
Problem 1
Find the length of the square, where the area of the square is 806,404 cm².
The area of a square = a² So, the area of a square = 806,404 cm² So, the length = √806,404 = 898. The length of each side = 898 cm
Explanation
The length of a square is 898 cm.
Because the area is 806,404 cm² the length is √806,404 = 898.
Problem 2
Sara is designing a square garden with a length of 898 meters. The cost to plant flowers on a square meter is 5 dollars. How much will it cost to plant the entire garden?
The length of the garden = 898 meters The cost to plant flowers on 1 square meter = 5 dollars. 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 = 898 Therefore, the area of the garden = 898² = 898 × 898 = 806,404. The cost to plant the garden = 806,404 × 5 = 4,032,020 dollars. The total cost = 4,032,020 dollars
Explanation
To find the cost to plant the garden, we multiply the area of the garden by the cost to plant per square meter.
So, the total cost is 4,032,020 dollars.
Problem 3
Find the area of a circle whose radius is 898 meters.
The area of the circle = 2,534,960.72 m²
Explanation
The area of a circle = πr²
Here, r = 898
Therefore, the area of the circle = π × 898² = 3.14 × 898 × 898 = 2,534,960.72 m².
Problem 4
The area of the square is 806,404 cm². Find the perimeter of the square.
The perimeter of the square is 3,592 cm
Explanation
The area of the square = a²
Here, the area is 806,404 cm²
The length of the side is √806,404 = 898
Perimeter of the square = 4a
Here, a = 898
Therefore, the perimeter = 4 × 898 = 3,592 cm.
Problem 5
Find the square of 899.
The square of 899 is 808,201
Explanation
The square of 899 is multiplying 899 by 899.
So, the square = 899 × 899 = 808,201
FAQs on Square of 898
1.What is the square of 898?
2.What is the square root of 898?
3.Is 898 a prime number?
4.What are the first few multiples of 898?
5.What is the square of 900?
6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?
7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Square of 898?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Square of 898?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Square 898.
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, etc.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, etc
. - Exponent: A number that indicates how many times the base is multiplied by itself. For example, in 2³, 3 is the exponent.
- Circle Area Formula: The formula used to calculate the area of a circle, which is πr².
- Square root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
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About BrightChamps in Saudi Arabia
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.
