Last updated on May 26th, 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 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
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.
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.
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
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 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.
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.
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
The length of a square is 1004 cm. Because the area is 1,008,016 cm², the length is √1,008,016 = 1004.
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
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.
Find the area of a circle whose radius is 1004 meters.
The area of the circle = 3,168,728.96 m²
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.
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.
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.
Find the square of 1005.
The square of 1005 is 1,010,025.
The square of 1005 is multiplying 1005 by 1005. So, the square = 1005 × 1005 = 1,010,025.
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.
: He loves to play the quiz with kids through algebra to make kids love it.