BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon118 Learners

Last updated on May 29th, 2025

Math Whiteboard Illustration

Square of 1018

Professor Greenline Explaining Math Concepts

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 1018.

Square of 1018 for Australian Students
Professor Greenline from BrightChamps

What is the Square of 1018

The square of a number is the product of the number itself.

 

The square of 1018 is 1018 × 1018.

 

The square of a number can end in any digit, but more commonly ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 1018², where 1018 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 1018 is 1018 × 1018 = 1,036,324.

 

Square of 1018 in exponential form: 1018²

 

Square of 1018 in arithmetic form: 1018 × 1018

 

square of 1018

Professor Greenline from BrightChamps

How to Calculate the Value of Square of 1018

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 (a2)
     
  • Using a Calculator
Professor Greenline from BrightChamps

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 1018.

 

Step 1: Identify the number. Here, the number is 1018.

 

Step 2: Multiplying the number by itself, we get, 1018 × 1018 = 1,036,324.

 

The square of 1018 is 1,036,324.

Professor Greenline from BrightChamps

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 1018

So: 1018² = 1018 × 1018 = 1,036,324

Professor Greenline from BrightChamps

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 1018.

 

Step 1: Enter the number in the calculator. Enter 1018 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 1018 × 1018

 

Step 3: Press the equal to button to find the answer. Here, the square of 1018 is 1,036,324.

 

Tips and Tricks for the Square of 1018

 

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 often ends in 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.

 

  • The square root of a perfect square is always a whole number. For example, √144 = 12.
Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Square of 1018

Mistakes are common among kids when doing math, especially when finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Calculation errors:

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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.

Max from BrightChamps Saying "Hey"

Solved Examples on Square of 1018

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A garden is in the shape of a square with an area of 1,036,324 square meters. Find the length of one side of the garden.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The area of a square = a²

 

So, the area of a square = 1,036,324 m²

 

So, the length = √1,036,324 = 1018.

 

The length of each side = 1018 meters.

Explanation

The length of a square garden is 1018 meters because the area is 1,036,324 m².

 

Therefore, the length is √1,036,324 = 1018.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A square plot of land has a side length of 1018 meters. If fencing costs 5 dollars per meter, what is the cost to fence the entire plot?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The length of one side of the plot = 1018 meters

 

The cost to fence 1 meter = 5 dollars

 

To find the total cost to fence, we need the perimeter of the plot, Perimeter of the plot = 4a

 

Here a = 1018

 

Therefore, the perimeter = 4 × 1018 = 4072 meters.

 

The cost to fence the plot = 4072 × 5 = 20,360 dollars.

 

The total cost = 20,360 dollars

Explanation

To find the cost to fence the plot, we multiply the perimeter by the cost per meter.

 

So, the total cost is 20,360 dollars.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A circular pool has a radius of 1018 meters. Find the area of the pool.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The area of the pool = 3,259,198.76 m²

Explanation

The area of a circle = πr²

 

Here, r = 1018

 

Therefore, the area of the pool = π × 1018² = 3.14 × 1018 × 1018 = 3,259,198.76 m²

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

The area of a square is 1,036,324 cm². Find its perimeter.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The perimeter of the square is 4072 cm.

Explanation

The area of the square = a²

 

Here, the area is 1,036,324 cm²

 

The length of the side is √1,036,324 = 1018

 

Perimeter of the square = 4a

 

Here, a = 1018

 

Therefore, the perimeter = 4 × 1018 = 4072 cm.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Find the square of 1020.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The square of 1020 is 1,040,400.

Explanation

The square of 1020 is multiplying 1020 by 1020.

 

So, the square = 1020 × 1020 = 1,040,400.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Square of 1018

1.What is the square of 1018?

Math FAQ Answers Dropdown Arrow

2.What is the square root of 1018?

Math FAQ Answers Dropdown Arrow

3.Is 1018 a prime number?

Math FAQ Answers Dropdown Arrow

4.What are the first few multiples of 1018?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1019?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 1018?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Australia support learning Algebra and Square of 1018?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Square 1018

  • Perfect Square: A number that is the square of an integer. Example: 25 is a perfect square because it is 5².

 

  • Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. Example: In 1018², 2 is the exponent.

 

  • Square Root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number. Example: √25 = 5.

 

  • Odd Number: An integer not divisible by 2. Example: 3, 5, 7.

 

  • Even Number: An integer divisible by 2. Example: 2, 4, 6.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, algebra is more than just numbers—it unlocks countless possibilities! Our aim is to help kids all across Australia master important math skills, with today’s lesson focused on the Square of 1018 and a special emphasis on understanding squares—in a fun, clear, and engaging way. Whether your child is timing a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the newest gadgets, mastering algebra boosts their confidence for everyday challenges. Our lessons make learning simple and enjoyable. Since kids in Australia learn in various ways, we personalize our approach to suit each child. From Sydney’s vibrant streets to the beautiful beaches of the Gold Coast, BrightChamps brings math to life, making it relatable and exciting across Australia. Let’s make squares a fun part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom