119 LearnersLast updated on May 26th, 2025
Square of 1004
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 1004.
What is the Square of 1004
The square of a number is the product of the number itself. The square of 1004 is 1004 × 1004. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1004², where 1004 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 1004 is 1004 × 1004 = 1,008,016.
Square of 1004 in exponential form: 1004²
Square of 1004 in arithmetic form: 1004 × 1004
How to Calculate the Value of Square of 1004
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 1004.
Step 1: Identify the number. Here, the number is 1004.
Step 2: Multiplying the number by itself, we get, 1004 × 1004 = 1,008,016.
The square of 1004 is 1,008,016.
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 1004
So: 1004² = 1004 × 1004 = 1,008,016
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 1004.
Step 1: Enter the number in the calculator Enter 1004 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1004 × 1004
Step 3: Press the equal to button to find the answer Here, the square of 1004 is 1,008,016.
Tips and Tricks for the Square of 1004
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 1004
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 1004² with (1000 + 4)² or (100 + 4)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 1004
Problem 1
Find the length of the square, where the area of the square is 1,008,016 cm².
The area of a square = a²
So, the area of a square = 1,008,016 cm²
So, the length = √1,008,016 = 1004.
The length of each side = 1004 cm
Explanation
The length of a square is 1004 cm. Because the area is 1,008,016 cm², the length is √1,008,016 = 1004.
Problem 2
Emma is planning to tile her square room of length 1004 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full room?
The length of the room = 1004 feet
The cost to tile 1 square foot of the room = 5 dollars.
To find the total cost to tile, we find the area of the room,
Area of the room = area of the square = a²
Here a = 1004
Therefore, the area of the room = 1004² = 1004 × 1004
= 1,008,016.
The cost to tile the room = 1,008,016 × 5 = 5,040,080.
The total cost = 5,040,080 dollars
Explanation
To find the cost to tile the room, we multiply the area of the room by the cost to tile per foot. So, the total cost is 5,040,080 dollars.
Problem 3
Find the area of a circle whose radius is 1004 meters.
The area of the circle = 3,168,728.96 m²
Explanation
The area of a circle = πr² Here, r = 1004 Therefore, the area of the circle = π × 1004² = 3.14 × 1004 × 1004 = 3,168,728.96 m².
Problem 4
The area of the square is 1,008,016 cm². Find the perimeter of the square.
The perimeter of the square is 4,016 cm.
Explanation
The area of the square = a²
Here, the area is 1,008,016 cm²
The length of the side is √1,008,016 = 1004
Perimeter of the square = 4a
Here, a = 1004
Therefore, the perimeter = 4 × 1004 = 4,016.
Problem 5
Find the square of 1005.
The square of 1005 is 1,010,025.
Explanation
The square of 1005 is multiplying 1005 by 1005. So, the square = 1005 × 1005 = 1,010,025.
FAQs on Square of 1004
1.What is the square of 1004?
2.What is the square root of 1004?
3.Is 1004 a prime number?
4.What are the first few multiples of 1004?
5.What is the square of 1003?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 1004?
8.How do technology and digital tools in India support learning Algebra and Square of 1004?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 1004.
- Perfect Square: A number that is the square of an integer. For example, 1, 4, 9, 16, .
- Even Number: A number divisible by 2. For example, 2, 4, 6, 8.
- Prime Number: A number greater than 1 that is only divisible by 1 and itself. For example, 2, 3, 5, 7, .
- Exponential Form: Writing a number as a base raised to a power. For example, 10³ where 10 is the base and 3 is the power.
- Square Root: The inverse operation of squaring a number. For example, the square root of 16 is 4.
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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.
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