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Last updated on May 26th, 2025

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Square of 1006

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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.

Square of 1006 for Singaporean Students
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What is 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

square of 1006

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How to Calculate the Value of Square of 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.

 

  • By Multiplication Method
  • Using a Formula
  • Using a Calculator
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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 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.

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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 1006

So: 1006² = 1006 × 1006 = 1,012,036

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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 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 for the Square of 1006

 

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.
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Common Mistakes to Avoid When Calculating the Square of 1006

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

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Calculation errors:

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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.

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Solved Examples on Square of 1006

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Problem 1

Find the length of the square, where the area of the square is 1,012,036 cm².

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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

Explanation

The length of a square is 1006 cm. Because the area is 1,012,036 cm², the length is √1,012,036 = 1006.

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Problem 2

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?

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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

Explanation

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.

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Problem 3

Find the area of a circle whose radius is 1006 meters.

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The area of the circle = 3,180,085.44 m²

Explanation

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.

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Problem 4

The area of the square is 1,012,936 cm². Find the perimeter of the square.

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The perimeter of the square is 4024 cm

Explanation

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.

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Problem 5

Find the square of 1007.

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The square of 1007 is 1,014,049

Explanation

The square of 1007 is multiplying 1007 by 1007. So, the square = 1007 × 1007 = 1,014,049

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FAQs on Square of 1006

1.What is the square of 1006?

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2.What is the square root of 1006?

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3.Is 1006 a prime number?

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4.What are the first few multiples of 1006?

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5.What is the square of 1005?

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6.How does learning Algebra help students in Singapore make better decisions in daily life?

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7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 1006?

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8.How do technology and digital tools in Singapore support learning Algebra and Square of 1006?

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9.Does learning Algebra support future career opportunities for students in Singapore?

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Important Glossaries for Square 1006.

  • Perfect square: A number that is the square of an integer. For example, 25 is a perfect square because it is 5².

     
  • Exponent: The power to which a number is raised in exponential form. For example, in 1006², 2 is the exponent.

     
  • Square root: The square root is the inverse operation of the square. The square root of a number is a value that, when multiplied by itself, gives the original number.

     
  • Even number: A number that is divisible by 2. For example, 2, 4, 6, 8, 10, etc.

     
  • Multiplication: The mathematical operation of scaling one number by another. The product of multiplication of a number by itself gives its square.
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About BrightChamps in Singapore

At BrightChamps, algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to help kids all over Singapore strengthen their math skills, with today’s lesson centered on the Square of 1006 and a special focus on understanding squares—in a fun, engaging, and easy-to-follow way. Whether your child is timing a roller coaster at Universal Studios Singapore, keeping score at a local football match, or managing their allowance for the latest gadgets, algebra helps boost their confidence in daily life. Our lessons are designed to make learning simple and enjoyable. Since kids in Singapore learn in many different ways, we personalize our approach for each child. From the bustling city to the scenic gardens, BrightChamps brings math to life, making it relatable and exciting throughout Singapore. Let’s make squares an enjoyable part of every child’s math journey!
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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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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