122 LearnersLast updated on May 26th, 2025
Square of 1001
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.
What is 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
How to Calculate the Value of Square of 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.
- 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 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.
Using a Formula (\(a^2\))
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)
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 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.
- 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, (sqrt{1.44} = 1.2).
- The square root of a perfect square is always a whole number. For example, (sqrt{144} = 12).
Common Mistakes to Avoid When Calculating the Square of 1001
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 swap 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 (10012) with ((10 + 1)2) or \((1000 + 1)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 errors.
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 1001
Problem 1
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
Explanation
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).
Problem 2
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
Explanation
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.
Problem 3
Find the area of a circle whose radius is 1001 meters.
The area of the circle = 3,146,127.64 m2
Explanation
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.
Problem 4
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.
Explanation
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.
Problem 5
Find the square of 1002.
The square of 1002 is 1,004,004
Explanation
The square of 1002 is multiplying 1002 by 1002. So, the square = 1002 × 1002 = 1,004,004
FAQs on Square of 1001
1.What is the square of 1001?
2.What is the square root of 1001?
3.Is 1001 a prime number?
4.What are the first few multiples of 1001?
5.What is the square of 1000?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 1001?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 1001?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 1001.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of expressing numbers as a base raised to a power. For example, (92) where 9 is the base and 2 is the power.
- Square root: The number that, when multiplied by itself, gives the original number. For example, (sqrt{144} = 12).
- Multiplication method: A method to find the square of a number by multiplying it by itself.
- Perfect square: A number that has an integer as its square root. For example, 144 is a perfect square because its square root is 12.
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About BrightChamps in United Arab Emirates
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.
