131 LearnersLast updated on May 30th, 2025
Square of 832
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 832.
What is the Square of 832
The square of a number is the product of the number itself.
The square of 832 is 832 × 832.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 832², where 832 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 832 is 832 × 832 = 692,224.
Square of 832 in exponential form: 832²
Square of 832 in arithmetic form: 832 × 832
How to Calculate the Value of Square of 832
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 832.
Step 1: Identify the number. Here, the number is 832.
Step 2: Multiplying the number by itself, we get, 832 × 832 = 692,224.
The square of 832 is 692,224.
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 832.
So: 832² = 832 × 832 = 692,224
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 832.
Step 1: Enter the number in the calculator Enter 832 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 832 × 832
Step 3: Press the equal to button to find the answer Here, the square of 832 is 692,224.
Tips and Tricks for the Square of 832
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 832
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 832² with (8 + 32)² or (800 + 32)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 832
Problem 1
Find the length of the square, where the area of the square is 692,224 cm².
The area of a square = a² So, the area of a square = 692,224 cm² So, the length = √692,224 = 832. The length of each side = 832 cm
Explanation
The length of a square is 832 cm.
Because the area is 692,224 cm² the length is √692,224 = 832.
Problem 2
A rectangular field has a length of 832 meters. If the width of the field is 500 meters, what is the area of the field?
The length of the field = 832 meters The width of the field = 500 meters Area of the field = length × width Area = 832 × 500 = 416,000 square meters.
Explanation
To find the area of the rectangular field, multiply the length by the width.
So, the area is 416,000 square meters.
Problem 3
Find the area of a circle whose radius is 832 meters.
The area of the circle = 2,175,232.64 m²
Explanation
The area of a circle = πr²
Here, r = 832
Therefore, the area of the circle = π × 832² = 3.14 × 832 × 832 = 2,175,232.64 m².
Problem 4
The area of the square is 692,224 cm². Find the perimeter of the square.
The perimeter of the square is 3,328 cm.
Explanation
The area of the square = a²
Here, the area is 692,224 cm²
The length of the side is √692,224 = 832
Perimeter of the square = 4a
Here, a = 832
Therefore, the perimeter = 4 × 832 = 3,328 cm.
Problem 5
Find the square of 833.
The square of 833 is 694,089.
Explanation
The square of 833 is multiplying 833 by 833.
So, the square = 833 × 833 = 694,089.
FAQs on Square of 832
1.What is the square of 832?
2.What is the square root of 832?
3.Is 832 a perfect square?
4.What is the square of 831?
5.What is the square of 833?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 832?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 832?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square 832.
- Square: The product of multiplying a number by itself.
- Perfect Square: A number that is the square of an integer.
- Exponential form: Writing a number with a base and an exponent, such as 832².
- Prime Number: A number that has no divisors other than 1 and itself.
- Square Root: A value that, when multiplied by itself, gives the original number.
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About BrightChamps in Qatar
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.
