120 LearnersLast updated on May 26th, 2025
Square of 668
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 668.
What is the Square of 668
The square of a number is the product of the number itself. The square of 668 is 668 × 668. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 668², where 668 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 668 is 668 × 668 = 446,224.
Square of 668 in exponential form: 668²
Square of 668 in arithmetic form: 668 × 668
How to Calculate the Value of Square of 668
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 668
Step 1: Identify the number. Here, the number is 668
Step 2: Multiplying the number by itself, we get, 668 × 668 = 446,224.
The square of 668 is 446,224.
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 668
So: 668² = 668 × 668 = 446,224
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 668.
Step 1: Enter the number in the calculator Enter 668 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 668 × 668
Step 3: Press the equal to button to find the answer Here, the square of 668 is 446,224.
Tips and Tricks for the Square of 668
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 668
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 668² with (6 + 6 + 8)² or (600 + 60 + 8)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 668
Problem 1
Find the length of the square, where the area of the square is 446,224 cm².
The area of a square = a²
So, the area of a square = 446,224 cm²
So, the length = √446,224 = 668.
The length of each side = 668 cm
Explanation
The length of a square is 668 cm. Because the area is 446,224 cm², the length is √446,224 = 668.
Problem 2
Emma has a square garden with a side length of 668 meters. She wants to plant flowers along the perimeter. If each meter requires 5 plants, how many plants are needed in total?
The length of each side of the garden = 668 meters
Perimeter of the garden = 4 × 668 = 2,672 meters
Number of plants needed = 2,672 × 5 = 13,360
The total number of plants needed = 13,360
Explanation
To find the total number of plants, we calculate the perimeter of the garden and then multiply by the number of plants per meter. So, the total number of plants is 13,360.
Problem 3
Find the area of a circle whose radius is 668 meters.
The area of the circle = 1,402,544.64 m²
Explanation
The area of a circle = πr²
Here, r = 668
Therefore, the area of the circle = π × 668²
= 3.14 × 668 × 668
= 1,402,544.64 m².
Problem 4
The area of a square is 446,224 cm². Find the perimeter of the square.
The perimeter of the square is 2,672 cm
Explanation
The area of the square = a²
Here, the area is 446,224 cm²
The length of the side is √446,224 = 668
Perimeter of the square = 4a
Here, a = 668
Therefore, the perimeter = 4 × 668 = 2,672 cm.
Problem 5
Find the square of 669.
The square of 669 is 447,561
Explanation
The square of 669 is multiplying 669 by 669. So, the square = 669 × 669 = 447,561
FAQs on Square of 668
1.What is the square of 668?
2.What is the square root of 668?
3.Is 668 a prime number?
4.What are the first few multiples of 668?
5.What is the square of 667?
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 668?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 668?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square of 668.
- Prime Number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7.
- Exponential Form: Writing a number in the form of a power. For example, 9², where 9 is the base and 2 is the exponent.
- Square Root: The inverse operation of squaring a number. For example, the square root of 36 is 6.
- Perimeter: The total length around a two-dimensional shape. For example, the perimeter of a square of side length 'a' is 4a.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square of 12.
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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.
