Square of 1003
2026-02-28 17:26 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 1003.

What is the Square of 1003

The square of a number is the product of the number itself. The square of 1003 is 1003 × 1003. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1003², where 1003 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 1003 is 1003 × 1003 = 1,006,009.

Square of 1003 in exponential form: 1003²

Square of 1003 in arithmetic form: 1003 × 1003

How to Calculate the Value of Square of 1003

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 1003

Step 1: Identify the number. Here, the number is 1003

Step 2: Multiplying the number by itself, we get, 1003 × 1003 = 1,006,009.

The square of 1003 is 1,006,009.

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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 1003

So: 1003² = 1003 × 1003 = 1,006,009

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 1003.

Step 1: Enter the number in the calculator Enter 1003 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 1003 × 1003

Step 3: Press the equal to button to find the answer Here, the square of 1003 is 1,006,009.

Tips and Tricks for the Square of 1003

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 1003

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 1,006,009 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 1,006,009 cm²

So, the length = √1,006,009 = 1003.

The length of each side = 1003 cm

Explanation

The length of a square is 1003 cm. Because the area is 1,006,009 cm² the length is √1,006,009 = 1003.

Well explained 👍

Problem 2

Sarah is planning to tile her square floor of length 1003 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?

Okay, lets begin

The length of the floor = 1003 feet

The cost to tile 1 square foot of floor = 5 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 = 1003

Therefore, the area of the floor = 1003² = 1003 × 1003 = 1,006,009.

The cost to tile the floor = 1,006,009 × 5 = 5,030,045.

The total cost = 5,030,045 dollars

Explanation

To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 5,030,045 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 1003 meters.

Okay, lets begin

The area of the circle = 3,164,163.14 m²

Explanation

The area of a circle = πr²

Here, r = 1003

Therefore, the area of the circle = π × 1003²

= 3.14 × 1003 × 1003

= 3,164,163.14 m².

Well explained 👍

Problem 4

The area of the square is 1,006,009 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 4,012 cm.

Explanation

The area of the square = a²

Here, the area is 1,006,009 cm²

The length of the side is √1,006,009 = 1003

Perimeter of the square = 4a

Here, a = 1003

Therefore, the perimeter = 4 × 1003 = 4,012.

Well explained 👍

Problem 5

Find the square of 1004.

Okay, lets begin

The square of 1004 is 1,008,016

Explanation

The square of 1004 is multiplying 1004 by 1004. So, the square = 1004 × 1004 = 1,008,016

Well explained 👍

FAQs on Square of 1003

1.What is the square of 1003?

The square of 1003 is 1,006,009, as 1003 × 1003 = 1,006,009.

2.What is the square root of 1003?

The square root of 1003 is ±31.684.

3.Is 1003 a prime number?

No, 1003 is not a prime number; it is divisible by numbers other than 1 and 1003.

4.What are the first few multiples of 1003?

The first few multiples of 1003 are 1003, 2006, 3009, 4012, 5015, and so on.

5.What is the square of 1002?

The square of 1002 is 1,004,004.

Important Glossaries for Square 1003.

  • Perfect square: A number that is the square of an integer. For example, 4, 9, 16.
  • Square: The product of a number multiplied by itself.
  • Exponent: The power to which a number or expression is raised.
  • Square root: A value that, when multiplied by itself, gives the original number.
  • Multiplication: The mathematical operation of scaling one number by another. 

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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.