116 LearnersLast updated on May 26th, 2025
Square of 667
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 667.
What is the Square of 667
The square of a number is the product of the number itself. The square of 667 is 667 × 667. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 667², where 667 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 667 is 667 × 667 = 444,889.
Square of 667 in exponential form: 667²
Square of 667 in arithmetic form: 667 × 667
How to Calculate the Value of Square of 667
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 667
Step 1: Identify the number. Here, the number is 667
Step 2: Multiplying the number by itself, we get, 667 × 667 = 444,889.
The square of 667 is 444,889.
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 667
So: 667² = 667 × 667 = 444,889
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 667.
Step 1: Enter the number in the calculator Enter 667 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 667 × 667
Step 3: Press the equal to button to find the answer Here, the square of 667 is 444,889.
Tips and Tricks for the Square of 667
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 667
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 667² with (6 + 6 + 7)² or (600 + 60 + 7)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 667
Problem 1
Find the side length of a square, where the area of the square is 444,889 cm².
The area of a square = a²
So, the area of a square = 444,889 cm²
So, the length = √444,889 = 667.
The length of each side = 667 cm
Explanation
The side length of a square is 667 cm. Because the area is 444,889 cm² the length is √444,889 = 667.
Problem 2
Sarah wants to tile her square patio of length 667 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire patio?
The length of the patio = 667 feet
The cost to tile 1 square foot of patio = 5 dollars.
To find the total cost to tile, we find the area of the patio,
Area of the patio = area of the square = a²
Here a = 667
Therefore, the area of the patio = 667² = 667 × 667 = 444,889.
The cost to tile the patio = 444,889 × 5 = 2,224,445.
The total cost = 2,224,445 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 2,224,445 dollars.
Problem 3
Find the area of a circle whose radius is 667 meters.
The area of the circle = 1,396,263.94 m²
Explanation
The area of a circle = πr²
Here, r = 667
Therefore, the area of the circle = π × 667²
= 3.14 × 667 × 667
= 1,396,263.94 m².
Problem 4
The area of a square is 444,889 cm². Find the perimeter of the square.
The perimeter of the square is 2,668 cm
Explanation
The area of the square = a²
Here, the area is 444,889 cm²
The length of the side is √444,889 = 667
Perimeter of the square = 4a
Here, a = 667
Therefore, the perimeter = 4 × 667 = 2,668.
Problem 5
Find the square of 668.
The square of 668 is 446,224
Explanation
The square of 668 is multiplying 668 by 668. So, the square = 668 × 668 = 446,224
FAQs on Square of 667
1.What is the square of 667?
2.What is the square root of 667?
3.Is 667 a prime number?
4.What are the first few multiples of 667?
5.What is the square of 666?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 667?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 667?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 667.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square since it is 12².
- Exponent: The exponent of a number shows how many times the number is to be multiplied by itself. In 667², 2 is the exponent.
- Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Composite Number: A natural number greater than 1 that is not prime. For example, 667 is a composite number.
- Formula: A mathematical relationship or rule expressed in symbols. For example, the formula for the area of a square is a².
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About BrightChamps in United Arab Emirates
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.
