135 LearnersLast updated on May 30th, 2025
Square of 893
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 893.
What is the Square of 893
The square of a number is the product of the number itself.
The square of 893 is 893 × 893.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 893², where 893 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 893 is 893 × 893 = 797,449.
Square of 893 in exponential form: 893²
Square of 893 in arithmetic form: 893 × 893
How to Calculate the Value of Square of 893
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 893.
Step 1: Identify the number. Here, the number is 893.
Step 2: Multiplying the number by itself, we get, 893 × 893 = 797,449.
The square of 893 is 797,449.
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 893
So: 893² = 893 × 893 = 797,449
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 893.
Step 1: Enter the number in the calculator Enter 893 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 893 × 893
Step 3: Press the equal to button to find the answer
Here, the square of 893 is 797,449.
Tips and Tricks for the Square of 893
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 893
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 893² with (8 + 9 + 3)² or (800 + 90 + 3)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 893
Problem 1
Find the length of the square, where the area of the square is 797,449 cm².
The area of a square = a² So, the area of a square = 797,449 cm² So, the length = √797,449 = 893. The length of each side = 893 cm
Explanation
The length of a square is 893 cm.
Because the area is 797,449 cm², the length is √797,449 = 893.
Problem 2
Alice wants to install a square garden with a side length of 893 meters. If the cost to install each square meter is 5 dollars, how much will it cost to install the entire garden?
The length of the garden = 893 meters The cost to install 1 square meter of garden = 5 dollars. To find the total cost to install, we find the area of the garden, Area of the garden = area of the square = a² Here a = 893 Therefore, the area of the garden = 893² = 893 × 893 = 797,449. The cost to install the garden = 797,449 × 5 = 3,987,245. The total cost = 3,987,245 dollars
Explanation
To find the cost to install the garden, we multiply the area of the garden by the cost to install per square meter.
So, the total cost is 3,987,245 dollars.
Problem 3
Find the area of a square plot whose side length is 893 meters.
The area of the square plot = 797,449 m²
Explanation
The area of a square = a²
Here, a = 893
Therefore, the area of the square plot = 893 × 893 = 797,449 m².
Problem 4
The area of the square is 797,449 cm². Find the perimeter of the square.
The perimeter of the square is 3,572 cm.
Explanation
The area of the square = a²
Here, the area is 797,449 cm²
The length of the side is √797,449 = 893
Perimeter of the square = 4a
Here, a = 893
Therefore, the perimeter = 4 × 893 = 3,572.
Problem 5
Find the square of 894.
The square of 894 is 799,236.
Explanation
The square of 894 is multiplying 894 by 894.
So, the square = 894 × 894 = 799,236.
FAQs on Square of 893
1.What is the square of 893?
2.What is the square root of 893?
3.Is 893 a prime number?
4.What are the first few multiples of 893?
5.What is the square of 892?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 893?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 893?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 893.
- Square: The result of multiplying a number by itself. For example, the square of 3 is 9.
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 3², 2 is the exponent.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
- Square root: A value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
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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
: He loves to play the quiz with kids through algebra to make kids love it.
