Square of 998
2026-02-28 10:00 Diff
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Last updated on August 5, 2025

The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 998.

What is the Square of 998

The square of a number is the product of the number itself. The square of 998 is 998 × 998. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 998², where 998 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 998 is 998 × 998 = 996004.

Square of 998 in exponential form: 998²

Square of 998 in arithmetic form: 998 × 998

How to Calculate the Value of Square of 998

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 998.

Step 1: Identify the number. Here, the number is 998.

Step 2: Multiplying the number by itself, we get, 998 × 998 = 996004.

The square of 998 is 996004.

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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 998

So: 998² = 998 × 998 = 996004

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 998.

Step 1: Enter the number in the calculator Enter 998 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 998 × 998

Step 3: Press the equal to button to find the answer Here, the square of 998 is 996004.

Tips and Tricks for the Square of 998

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 998

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.

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Problem 1

Find the length of the square, where the area of the square is 996004 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 996004 cm²

So, the length = √996004 = 998.

The length of each side = 998 cm

Explanation

The length of a square is 998 cm. Because the area is 996004 cm², the length is √996004 = 998.

Well explained 👍

Problem 2

Alice is planning to paint her square wall of length 998 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?

Okay, lets begin

The length of the wall = 998 feet

The cost to paint 1 square foot of wall = 5 dollars.

To find the total cost to paint, we find the area of the wall,

Area of the wall = area of the square = a²

Here a = 998 Therefore, the area of the wall = 998² = 998 × 998 = 996004. The cost to paint the wall = 996004 × 5 = 4980020. The total cost = 4980020 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 4980020 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 998 meters.

Okay, lets begin

The area of the circle = 3120872.52 m²

Explanation

The area of a circle = πr²

Here, r = 998

Therefore, the area of the circle = π × 998²

= 3.14 × 998 × 998

= 3120872.52 m².

Well explained 👍

Problem 4

The area of the square is 996004 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is

Explanation

The area of the square = a²

Here, the area is 996004 cm²

The length of the side is √996004 = 998

Perimeter of the square = 4a

Here, a = 998

Therefore, the perimeter = 4 × 998 = 3992.

Well explained 👍

Problem 5

Find the square of 999.

Okay, lets begin

The square of 999 is 998001

Explanation

The square of 999 is multiplying 999 by 999. So, the square = 999 × 999 = 998001

Well explained 👍

FAQs on Square of 998

1.What is the square of 998?

The square of 998 is 996004, as 998 × 998 = 996004.

2.What is the square root of 998?

The square root of 998 is approximately ±31.57.

3.Is 998 a perfect square?

4.What are the first few multiples of 998?

The first few multiples of 998 are 998, 1996, 2994, 3992, 4990, 5988, 6986, 7984, and so on.

5.What is the square of 999?

The square of 999 is 998001.

Important Glossaries for Square of 998.

  • Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
  • Exponential form: The way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
  • Square root: The inverse operation of the square. The square root of a number is a number whose square is the number itself.
  • Multiplication method: A method where a number is multiplied by itself to find its square.
  • Calculator method: Using a calculator to perform operations to find the square of a number.

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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.