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 1001.
The square of a number is the product of the number itself. The square of 1001 is 1001 × 1001. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as \(1001^2\), where 1001 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 1001 is 1001 × 1001 = 1,002,001.
Square of 1001 in exponential form: (10012)
Square of 1001 in arithmetic form: 1001 × 1001
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 1001.
Step 1: Identify the number. Here, the number is 1001.
Step 2: Multiplying the number by itself, we get, 1001 × 1001 = 1,002,001.
The square of 1001 is 1,002,001.
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 1001.
So: (10012 = 1001 × 1001 = 1,002,001)
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 1001.
Step 1: Enter the number in the calculator. Enter 1001 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 1001 × 1001.
Step 3: Press the equal button to find the answer. Here, the square of 1001 is 1,002,001.
Tips and Tricks for the Square of 1001
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.
A square garden has an area of 1,002,001 square meters. What is the length of one side of the garden?
The area of a square = (a2)
So, the area of the square = 1,002,001 m2
So, the length = (sqrt{1,002,001} = 1001).
The length of each side = 1001 m
The length of a square garden is 1001 meters. Because the area is 1,002,001 m2, the length is (sqrt{1,002,001} = 1001).
Sarah is fencing her square field with a side length of 1001 feet. The cost to fence one foot is 5 dollars. How much will it cost to fence the entire field?
The length of the field = 1001 feet
The cost to fence 1 foot of the field = 5 dollars.
To find the total cost to fence, we find the perimeter of the field,
Perimeter of the field = 4 × side length
Here side length = 1001
Therefore, the perimeter = 4 × 1001 = 4004.
The cost to fence the field = 4004 × 5 = 20,020.
The total cost = 20,020 dollars
To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per foot. So, the total cost is 20,020 dollars.
Find the area of a circle whose radius is 1001 meters.
The area of the circle = 3,146,127.64 m2
The area of a circle = (pi r2)
Here, r = 1001
Therefore, the area of the circle = (pi × 10012 ) ≈ (3.14 × 1001 × 1001 = 3,146,127.64) m2.
A square plot has an area of 1,002,001 square feet. Find the perimeter of the plot.
The perimeter of the plot is 4,004 feet.
The area of the square = (a2)
Here, the area is 1,002,001 ft2
The length of the side is (sqrt{1,002,001} = 1001)
Perimeter of the square = 4a
Here, a = 1001
Therefore, the perimeter = 4 × 1001 = 4004.
Find the square of 1002.
The square of 1002 is 1,004,004
The square of 1002 is multiplying 1002 by 1002. So, the square = 1002 × 1002 = 1,004,004
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.