117 LearnersLast updated on May 26th, 2025
Square of 182
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 182.
What is the Square of 182
The square of a number is the product of the number itself. The square of 182 is 182 × 182. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 182², where 182 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 182 is 182 × 182 = 33,124. Square of 182 in exponential form: 182² Square of 182 in arithmetic form: 182 × 182
How to Calculate the Value of Square of 182
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 182
Step 1: Identify the number. Here, the number is 182
Step 2: Multiplying the number by itself, we get, 182 × 182 = 33,124. The square of 182 is 33,124.
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 182 So: 182² = 182 × 182 = 33,124
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 182.
Step 1: Enter the number in the calculator Enter 182 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 182 × 182
Step 3: Press the equal to button to find the answer Here, the square of 182 is 33,124.
Tips and Tricks for the Square of 182 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 182
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 182² with (1 + 8 + 2)² or (180 + 2)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 182
Problem 1
Find the length of the square, where the area of the square is 33,124 cm².
The area of a square = a² So, the area of a square = 33,124 cm² So, the length = √33,124 = 182. The length of each side = 182 cm
Explanation
The length of a square is 182 cm.
Because the area is 33,124 cm² the length is √33,124 = 182.
Problem 2
Sara is planning to tile her square patio of length 182 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full patio?
The length of the patio = 182 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 182 Therefore, the area of the patio = 182² = 182 × 182 = 33,124. The cost to tile the patio = 33,124 × 5 = 165,620. The total cost = 165,620 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot.
So, the total cost is 165,620 dollars.
Problem 3
Find the area of a circle whose radius is 182 meters.
The area of the circle = 104,087.76 m²
Explanation
The area of a circle = πr²
Here, r = 182
Therefore, the area of the circle = π × 182²
= 3.14 × 182 × 182
= 104,087.76 m².
Problem 4
The area of the square is 33,124 cm². Find the perimeter of the square.
The perimeter of the square is 728 cm.
Explanation
The area of the square = a²
Here, the area is 33,124 cm²
The length of the side is √33,124 = 182
Perimeter of the square = 4a
Here, a = 182
Therefore, the perimeter = 4 × 182 = 728.
Problem 5
Find the square of 183.
The square of 183 is 33,489
Explanation
The square of 183 is multiplying 183 by 183.
So, the square = 183 × 183 = 33,489
FAQs on Square of 182
1.What is the square of 182?
2.What is the square root of 182?
3.Is 182 a prime number?
4.What are the first few multiples of 182?
5.What is the square of 180?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Square of 182?
8.How do technology and digital tools in Oman support learning Algebra and Square of 182?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Square 182.
- Perfect Square: A number that is the square of an integer. For example, 36 (6 × 6) is a perfect square.
- Exponent: The number that represents how many times the base is to be multiplied by itself. For example, in 182², 2 is the exponent.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 7 is a prime number.
- Multiplication: The arithmetic operation of combining groups of equal sizes. For instance, 182 × 182 equals 33,124.
- Calculator: A device or software used to perform arithmetic operations, such as finding the square of 182.
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About BrightChamps in Oman
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.
