127 LearnersLast updated on May 26th, 2025
Square of 1003
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.
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, 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 1003² with (100 + 3)² or (1000 + 3)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 it, 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 1003
Problem 1
Find the length of the square, where the area of the square is 1,006,009 cm².
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.
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?
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.
Problem 3
Find the area of a circle whose radius is 1003 meters.
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.
Problem 4
The area of the square is 1,006,009 cm². Find the perimeter of the square.
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.
Problem 5
Find the square of 1004.
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
FAQs on Square of 1003
1.What is the square of 1003?
2.What is the square root of 1003?
3.Is 1003 a prime number?
4.What are the first few multiples of 1003?
5.What is the square of 1002?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 1003?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 1003?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
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.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 1003
About BrightChamps in United Kingdom
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.
