117 LearnersLast updated on May 26th, 2025
Square of 993
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 993.
What is the Square of 993
The square of a number is the product of the number with itself. The square of 993 is 993 × 993. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 993², where 993 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 993 is 993 × 993 = 986,049.
Square of 993 in exponential form: 993²
Square of 993 in arithmetic form: 993 × 993
How to Calculate the Value of Square of 993
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 993.
Step 1: Identify the number. Here, the number is 993.
Step 2: Multiplying the number by itself, we get, 993 × 993 = 986,049.
The square of 993 is 986,049.
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 993
So: 993² = 993 × 993 = 986,049
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 993.
Step 1: Enter the number in the calculator Enter 993 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 993 × 993
Step 3: Press the equal to button to find the answer Here, the square of 993 is 986,049.
Tips and Tricks for the Square of 993
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 993
Mistakes are common among kids when doing math, especially when it involves 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 swap the digits. To avoid these, 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 incorrect formulas like (9 + 9 + 3)² or (900 + 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 square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, 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 errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So, students should engage in regular practice to avoid errors.
Solved Examples on Square of 993
Problem 1
Find the length of the square, where the area of the square is 986,049 cm².
The area of a square = a²
So, the area of a square = 986,049 cm²
So, the length = √986,049 = 993.
The length of each side = 993 cm
Explanation
The length of a square is 993 cm. Because the area is 986,049 cm², the length is √986,049 = 993.
Problem 2
Anna is planning to tile her square floor with side length 993 meters. The cost to tile a square meter is 10 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 993 meters
The cost to tile 1 square meter of the floor = 10 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 993
Therefore, the area of the floor = 993² = 993 × 993 = 986,049.
The cost to tile the floor = 986,049 × 10 = 9,860,490.
The total cost = 9,860,490 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square meter. So, the total cost is 9,860,490 dollars.
Problem 3
Find the area of a circle whose radius is 993 meters.
The area of the circle = 3,096,597.66 m²
Explanation
The area of a circle = πr²
Here, r = 993
Therefore, the area of the circle = π × 993²
= 3.14 × 993 × 993
= 3,096,597.66 m².
Problem 4
The area of the square is 986,049 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 986,049 cm²
The length of the side is √986,049 = 993
Perimeter of the square = 4a
Here, a = 993
Therefore, the perimeter = 4 × 993 = 3,972.
Problem 5
Find the square of 994.
The square of 994 is 988,036
Explanation
The square of 994 is multiplying 994 by 994. So, the square = 994 × 994 = 988,036
FAQs on Square of 993
1.What is the square of 993?
2.What is the square root of 993?
3.Is 993 a prime number?
4.What are the first few multiples of 993?
5.What is the square of 992?
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 993?
8.How do technology and digital tools in Oman support learning Algebra and Square of 993?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Square 993.
- Perfect square: A number that is the square of an integer.
- Exponential form: Writing a number in the form of a power, such as 993², where 993 is the base and 2 is the exponent.
- Square: The result of multiplying a number by itself.
- Square root: The inverse operation of squaring a number.
- Prime number: A number greater than 1 that is not divisible by any other numbers except 1 and itself. For example, 2, 3, 5, 7, etc.
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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.
