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 the topic, we will discuss the square of 1006.
The square of a number is the product of the number by itself. The square of 1006 is 1006 × 1006. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1006², where 1006 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 1006 is 1006 × 1006 = 1,012,036.
Square of 1006 in exponential form: 1006²
Square of 1006 in arithmetic form: 1006 × 1006
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 1006
Step 1: Identify the number. Here, the number is 1006
Step 2: Multiplying the number by itself, we get, 1006 × 1006 = 1,012,036.
The square of 1006 is 1,012,036.
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 1006
So: 1006² = 1006 × 1006 = 1,012,036
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 1006.
Step 1: Enter the number in the calculator Enter 1006 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1006 × 1006
Step 3: Press the equal to button to find the answer Here, the square of 1006 is 1,012,036.
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 1,012,036 cm².
The area of a square = a²
So, the area of a square = 1,012,036 cm²
So, the length = √1,012,036 = 1006.
The length of each side = 1006 cm
The length of a square is 1006 cm. Because the area is 1,012,036 cm², the length is √1,012,036 = 1006.
Anna is planning to carpet her square room of length 1006 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 1006 feet
The cost to carpet 1 square foot of room = 5 dollars.
To find the total cost to carpet, we find the area of the room,
Area of the room = area of the square = a²
Here a = 1006
Therefore, the area of the room = 1006²
= 1006 × 1006 = 1,012,036.
The cost to carpet the room = 1,012,036 × 5 = 5,060,180.
The total cost = 5,060,180 dollars
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 5,060,180 dollars.
Find the area of a circle whose radius is 1006 meters.
The area of the circle = 3,180,085.44 m²
The area of a circle = πr²
Here, r = 1006
Therefore, the area of the circle = π × 1006²
= 3.14 × 1006 × 1006
= 3,180,085.44 m².
The area of the square is 1,012,936 cm². Find the perimeter of the square.
The perimeter of the square is 4024 cm
The area of the square = a²
Here, the area is 1,012,936 cm²
The length of the side is √1,012,936 = 1006
Perimeter of the square = 4a
Here, a = 1006
Therefore, the perimeter = 4 × 1006 = 4024.
Find the square of 1007.
The square of 1007 is 1,014,049
The square of 1007 is multiplying 1007 by 1007. So, the square = 1007 × 1007 = 1,014,049
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.