Square of 984
2026-02-28 23:46 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 this topic, we will discuss the square of 984.

What is the Square of 984

The square of a number is the product of the number itself. The square of 984 is 984 × 984. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 984², where 984 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 984 is 984 × 984 = 968,256.

Square of 984 in exponential form: 984²

Square of 984 in arithmetic form: 984 × 984

How to Calculate the Value of Square of 984

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 984.

Step 1: Identify the number. Here, the number is 984.

Step 2: Multiplying the number by itself, we get, 984 × 984 = 968,256.

The square of 984 is 968,256.

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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 984.

So: 984² = 984 × 984 = 968,256.

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 984.

Step 1: Enter the number in the calculator Enter 984 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 984 × 984

Step 3: Press the equal to button to find the answer Here, the square of 984 is 968,256.

Tips and Tricks for the Square of 984

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 984

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 side length of the square, where the area of the square is 968,256 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 968,256 cm²

So, the length = √968,256 = 984.

The length of each side = 984 cm

Explanation

The length of a square is 984 cm. Because the area is 968,256 cm², the length is √968,256 = 984.

Well explained 👍

Problem 2

Sara is planning to tile her square garden of length 984 feet. The cost to tile a square foot is 2 dollars. Then how much will it cost to tile the full garden?

Okay, lets begin

The length of the garden = 984 feet

The cost to tile 1 square foot of the garden = 2 dollars.

To find the total cost to tile, we find the area of the garden,

Area of the garden = area of the square = a²

Here a = 984

Therefore, the area of the garden = 984² = 984 × 984 = 968,256.

The cost to tile the garden = 968,256 × 2 = 1,936,512.

The total cost = 1,936,512 dollars

Explanation

To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 1,936,512 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 984 meters.

Okay, lets begin

The area of the circle = 3,043,216.64 m²

Explanation

The area of a circle = πr²

Here, r = 984

Therefore, the area of the circle = π × 984²

= 3.14 × 984 × 984

= 3,043,216.64 m².

Well explained 👍

Problem 4

The area of the square is 968,256 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 3,936 cm.

Explanation

The area of the square = a²

Here, the area is 968,256 cm²

The length of the side is √968,256 = 984

Perimeter of the square = 4a

Here, a = 984

Therefore, the perimeter = 4 × 984 = 3,936.

Well explained 👍

Problem 5

Find the square of 985.

Okay, lets begin

The square of 985 is 970,225.

Explanation

The square of 985 is multiplying 985 by 985. So, the square = 985 × 985 = 970,225.

Well explained 👍

FAQs on Square of 984

1.What is the square of 984?

The square of 984 is 968,256, as 984 × 984 = 968,256.

2.What is the square root of 984?

The square root of 984 is approximately ±31.37.

3.Is 984 a perfect square?

4.What are the first few multiples of 984?

The first few multiples of 984 are 984, 1,968, 2,952, 3,936, 4,920, and so on.

5.What is the square of 983?

The square of 983 is 966,289.

Important Glossaries for Square 984

  • Square: The product of a number multiplied by itself. For example, 5² = 25.
  • Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square since it equals 12².
  • Even Number: A number divisible by 2 without a remainder. For example, 4, 6, 8, etc.
  • Odd Number: A number that is not divisible by 2. For example, 1, 3, 5, etc.
  • Area: The measure of the amount of space inside a two-dimensional boundary, like a square or a circle.

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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.