118 LearnersLast updated on May 26th, 2025
Square of 1014
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 1014.
What is the Square of 1014
The square of a number is the product of the number itself. The square of 1014 is 1014 × 1014. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1014², where 1014 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 1014 is 1014 × 1014 = 1,028,196.
Square of 1014 in exponential form: 1014²
Square of 1014 in arithmetic form: 1014 × 1014
How to Calculate the Value of Square of 1014
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 1014
Step 1: Identify the number. Here, the number is 1014
Step 2: Multiplying the number by itself, we get, 1014 × 1014 = 1,028,196.
The square of 1014 is 1,028,196.
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 1014
So: 1014² = 1014 × 1014 = 1,028,196
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 1014.
Step 1: Enter the number in the calculator Enter 1014 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1014 × 1014
Step 3: Press the equal to button to find the answer Here, the square of 1014 is 1,028,196.
Tips and Tricks for the Square of 1014
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.
Common Mistakes to Avoid When Calculating the Square of 1014
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 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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 1014² with (1000 + 14)² or (101 + 4)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 error.
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 1014
Problem 1
Find the length of the square, where the area of the square is 1,028,196 cm².
The area of a square = a²
So, the area of a square = 1,028,196 cm²
So, the length = √1,028,196 = 1014.
The length of each side = 1014 cm
Explanation
The length of a square is 1014 cm. Because the area is 1,028,196 cm², the length is √1,028,196 = 1014.
Problem 2
Anna is planning to plant grass in her square garden of length 1014 feet. The cost to plant a foot is 0.5 dollars. Then how much will it cost to plant the full garden?
The length of the garden = 1014 feet
The cost to plant 1 square foot of garden = 0.5 dollars.
To find the total cost to plant, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1014
Therefore, the area of the garden = 1014²
= 1014 × 1014 = 1,028,196.
The cost to plant the garden = 1,028,196 × 0.5 = 514,098.
The total cost = 514,098 dollars
Explanation
To find the cost to plant the garden, we multiply the area of the garden by cost to plant per foot. So, the total cost is 514,098 dollars.
Problem 3
Find the area of a circle whose radius is 1014 meters.
The area of the circle = 3,230,378.16 m²
Explanation
The area of a circle = πr²
Here, r = 1014
Therefore, the area of the circle = π × 1014²
= 3.14 × 1014 × 1014
= 3,230,378.16 m².
Problem 4
The area of the square is 1,028,196 cm². Find the perimeter of the square.
The perimeter of the square is 4,056 cm.
Explanation
The area of the square = a²
Here, the area is 1,028,196 cm²
The length of the side is √1,028,196 = 1014
Perimeter of the square = 4a
Here, a = 1014
Therefore, the perimeter = 4 × 1014 = 4,056 cm.
Problem 5
Find the square of 1015.
The square of 1015 is 1,030,225.
Explanation
The square of 1015 is multiplying 1015 by 1015. So, the square = 1015 × 1015 = 1,030,225
FAQs on Square of 1014
1.What is the square of 1014?
2.What is the square root of 1014?
3.Is 1014 a prime number?
4.What are the first few multiples of 1014?
5.What is the square of 1013?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 1014?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 1014?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 1014.
- Square: The result of multiplying a number by itself.
- Exponent: A mathematical notation indicating the number of times a quantity is multiplied by itself.
- Square Root: The inverse operation of squaring a number; the number that when multiplied by itself gives the original number.
- Perfect Square: A number that is the square of an integer.
- Multiplication Method: A common method to calculate the square of a number by multiplying the number by itself.
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About BrightChamps in Singapore
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.
