121 LearnersLast updated on May 26th, 2025
Square of 990
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 990.
What is the Square of 990
The square of a number is the product of the number itself. The square of 990 is 990 × 990. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 990², where 990 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.
For example, 5² = 25; (-5)² = 25.
The square of 990 is 990 × 990 = 980100.
Square of 990 in exponential form: 990²
Square of 990 in arithmetic form: 990 × 990
How to Calculate the Value of Square of 990
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 990.
Step 1: Identify the number. Here, the number is 990.
Step 2: Multiplying the number by itself, we get, 990 × 990 = 980100.
The square of 990 is 980100.
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 990.
So: 990² = 990 × 990 = 980100
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 990.
Step 1: Enter the number in the calculator Enter 990 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 990 × 990
Step 3: Press the equal to button to find the answer Here, the square of 990 is 980100.
Tips and Tricks for the Square of 990
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 990
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 swap the digits. To avoid this, 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 990² with (9 + 90)² or (900 + 90)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 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 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 990
Problem 1
Find the length of the square, where the area of the square is 980100 cm².
The area of a square = a²
So, the area of a square = 980100 cm²
So, the length = √980100 = 990.
The length of each side = 990 cm
Explanation
The length of a square is 990 cm. Because the area is 980100 cm² the length is √980100 = 990.
Problem 2
Sarah wants to carpet her square room of length 990 feet. The cost to carpet a foot is 4 dollars. How much will it cost to carpet the full room?
The length of the room = 990 feet The cost to carpet 1 square foot of room = 4 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 990 Therefore, the area of the room = 990² = 990 × 990 = 980100. The cost to carpet the room = 980100 × 4 = 3920400. The total cost = 3920400 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 3920400 dollars.
Problem 3
Find the area of a circle whose radius is 990 meters.
The area of the circle = 3078014 m²
Explanation
The area of a circle = πr²
Here, r = 990
Therefore, the area of the circle = π × 990²
= 3.14 × 990 × 990
= 3078014 m².
Problem 4
The area of a square is 980100 cm². Find the perimeter of the square.
The perimeter of the square is 3960 cm.
Explanation
The area of the square = a²
Here, the area is 980100 cm²
The length of the side is √980100 = 990
Perimeter of the square = 4a
Here, a = 990
Therefore, the perimeter = 4 × 990 = 3960.
Problem 5
Find the square of 991.
The square of 991 is 982081.
Explanation
The square of 991 is multiplying 991 by 991. So, the square = 991 × 991 = 982081
FAQs on Square of 990
1.What is the square of 990?
2.What is the square root of 990?
3.Is 990 a perfect square?
4.What are the first few multiples of 990?
5.What is the square of 989?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 990?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 990?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 990
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Multiplication: The process of combining two numbers to get a product. For example, 990 × 990 = 980100.
- Exponent: A number that shows how many times a base is multiplied by itself. For example, in 990², 2 is the exponent.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Area: The measure of the size of a surface. In geometry, it is usually measured in square units. For example, the area of a square with side length 990 is 990² = 980100 square units.
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About BrightChamps in United Arab Emirates
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.
