Square of 989
2026-02-28 08:14 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. Square is used in programming, calculating areas, and so on. In the topic, we will discuss the square of 989.

What is the Square of 989

The square of a number is the product of the number itself. The square of 989 is 989 × 989. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 989², where 989 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 989 is 989 × 989 = 978121.

Square of 989 in exponential form: 989²

Square of 989 in arithmetic form: 989 × 989

How to Calculate the Value of Square of 989

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 989.

Step 1: Identify the number. Here, the number is 989.

Step 2: Multiplying the number by itself, we get, 989 × 989 = 978121.

The square of 989 is 978121.

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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 989.

So: 989² = 989 × 989 = 978121

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 989.

Step 1: Enter the number in the calculator Enter 989 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 989 × 989

Step 3: Press the equal to button to find the answer Here, the square of 989 is 978121.

Tips and Tricks for the Square of 989

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 989

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 978121 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 978121 cm²

So, the length = √978121 = 989.

The length of each side = 989 cm

Explanation

The length of a square is 989 cm. Because the area is 978121 cm², the length is √978121 = 989.

Well explained 👍

Problem 2

Sarah is planning to paint her square wall of length 989 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

Okay, lets begin

The length of the wall = 989 feet

The cost to paint 1 square foot of wall = 3 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 = 989

Therefore, the area of the wall = 989² = 989 × 989 = 978121.

The cost to paint the wall = 978121 × 3 = 2934363.

The total cost = 2934363 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 2934363 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 989 meters.

Okay, lets begin

The area of the circle = 3077925.86 m²

Explanation

The area of a circle = πr²

Here, r = 989

Therefore, the area of the circle = π × 989²

= 3.14 × 989 × 989

= 3077925.86 m².

Well explained 👍

Problem 4

The area of the square is 1396 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 148 cm.

Explanation

The area of the square = a²

Here, the area is 1396 cm²

The length of the side is √1396 = 37

Perimeter of the square = 4a

Here, a = 37

Therefore, the perimeter = 4 × 37 = 148.

Well explained 👍

Problem 5

Find the square of 990.

Okay, lets begin

The square of 990 is 980100.

Explanation

The square of 990 is multiplying 990 by 990. So, the square = 990 × 990 = 980100

Well explained 👍

FAQs on Square of 989

1.What is the square of 989?

The square of 989 is 978121, as 989 × 989 = 978121.

2.What is the square root of 989?

The square root of 989 is approximately ±31.44.

3.Is 989 a prime number?

No, 989 is not a prime number; it can be divided by numbers other than 1 and itself.

4.What are the first few multiples of 989?

The first few multiples of 989 are 989, 1978, 2967, 3956, 4945, and so on.

5.What is the square of 990?

The square of 990 is 980100.

Important Glossaries for Square 989.

  • Prime number: A number that is only divisible by 1 and the number itself. For example, 2, 3, 5, 7, 11, etc.
  • Exponential form: A way of writing numbers using a base and an exponent, such as 989².
  • Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because 12² = 144.
  • Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4.
  • Even number: A number divisible by 2, such as 4, 6, 8, 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.