125 LearnersLast updated on May 27th, 2025
Square of 1068
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 1068.
What is the Square of 1068
The square of a number is the product of the number itself.
The square of 1068 is 1068 × 1068.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1068², where 1068 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 1068 is 1068 × 1068 = 1140624.
Square of 1068 in exponential form: 1068²
Square of 1068 in arithmetic form: 1068 × 1068
How to Calculate the Value of Square of 1068
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 1068.
Step 1: Identify the number. Here, the number is 1068
Step 2: Multiplying the number by itself, we get, 1068 × 1068 = 1140624.
The square of 1068 is 1140624.
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 1068 So: 1068² = 1068 × 1068 = 1140624
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 1068.
Step 1: Enter the number in the calculator Enter 1068 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1068 × 1068
Step 3: Press the equal to button to find the answer Here, the square of 1068 is 1140624.
Tips and Tricks for the Square of 1068
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 1068
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 1068² with (1+0+6+8)² or (1000+68)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 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 1068
Problem 1
Find the side length of a square, where the area of the square is 1140624 cm².
The area of a square = a²
So, the area of a square = 1140624 cm²
So, the side length = √1140624 = 1068.
The side length of each side = 1068 cm
Explanation
The side length of a square is 1068 cm.
Because the area is 1140624 cm², the length is √1140624 = 1068.
Problem 2
Anna is planning to install tiles on her square kitchen floor of side length 1068 feet. The cost to install tiles per square foot is 5 dollars. How much will it cost to tile the full floor?
The side length of the floor = 1068 feet
The cost to install tiles per square foot of floor = 5 dollars.
To find the total cost to install tiles, we find the area of the floor,
Area of the floor = area of the square = a²
Here, a = 1068
Therefore, the area of the floor = 1068² = 1068 × 1068 = 1140624.
The cost to install tiles on the floor = 1140624 × 5 = 5703120.
The total cost = 5703120 dollars
Explanation
To find the cost to install tiles on the floor, we multiply the area of the floor by the cost to install tiles per foot.
So, the total cost is 5703120 dollars.
Problem 3
Find the area of a circle whose radius is 1068 meters.
The area of the circle = 3582173.76 m²
Explanation
The area of a circle = πr²
Here, r = 1068
Therefore, the area of the circle = π × 1068² = 3.14 × 1068 × 1068 = 3582173.76 m².
Problem 4
The area of the square is 1140624 cm². Find the perimeter of the square.
The perimeter of the square is 4272 cm
Explanation
The area of the square = a²
Here, the area is 1140624 cm²
The side length is √1140624 = 1068
Perimeter of the square = 4a
Here, a = 1068
Therefore, the perimeter = 4 × 1068 = 4272 cm.
Problem 5
Find the square of 1070.
The square of 1070 is 1144900
Explanation
The square of 1070 is multiplying 1070 by 1070.
So, the square = 1070 × 1070 = 1144900
FAQs on Square of 1068
1.What is the square of 1068?
2.What is the square root of 1068?
3.Is 1068 a prime number?
4.What are the first few multiples of 1068?
5.What is the square of 1067?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 1068?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 1068?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square of 1068.
- Perfect square: A number that is the square of an integer. For example, 64 is a perfect square because it is 8².
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 10² where 10 is the base and 2 is the power.
- Square root: The square root is the inverse operation of squaring. The square root of a number is a number whose square is the number itself.
- Multiplication method: A method to find the square of a number by multiplying the number by itself.
- Area of a square: The area is calculated as the side length squared, a².
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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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
