141 LearnersLast updated on May 29th, 2025
Square of 1018
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.
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
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
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.
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
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.
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
Calculation errors:
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.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 1018² with (1 + 0 +1 + 8)² or (1000 + 18)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 1018
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.
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.
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?
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.
Problem 3
A circular pool has a radius of 1018 meters. Find the area of the pool.
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
Problem 4
The area of a square is 1,036,324 cm². Find its perimeter.
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.
Problem 5
Find the square of 1020.
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.
FAQs on Square of 1018
1.What is the square of 1018?
2.What is the square root of 1018?
3.Is 1018 a prime number?
4.What are the first few multiples of 1018?
5.What is the square of 1019?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 1018?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1018?
9.Does learning Algebra support future career opportunities for students in Australia?
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.
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Jaskaran Singh Saluja
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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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