119 LearnersLast updated on May 26th, 2025
Square of 673
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 673.
What is the Square of 673
The square of a number is the product of the number itself. The square of 673 is 673 × 673. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 673², where 673 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 673 is 673 × 673 = 452,929.
Square of 673 in exponential form: 673²
Square of 673 in arithmetic form: 673 × 673
How to Calculate the Value of Square of 673
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 673.
Step 1: Identify the number. Here, the number is 673.
Step 2: Multiplying the number by itself, we get, 673 × 673 = 452,929.
The square of 673 is 452,929.
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 673
So: 673² = 673 × 673 = 452,929
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 673.
Step 1: Enter the number in the calculator. Enter 673 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 673 × 673.
Step 3: Press the equal to button to find the answer. Here, the square of 673 is 452,929.
Tips and Tricks for the Square of 673
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 673
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 673² with (6+7+3)² or (600+70+3)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 673
Problem 1
Find the length of a square where the area is 452,929 cm².
The area of a square = a²
So, the area of a square = 452,929 cm²
So, the length = √452,929 = 673.
The length of each side = 673 cm
Explanation
The length of a square is 673 cm. Because the area is 452,929 cm², the length is √452,929 = 673.
Problem 2
A farmer wants to fence his square field of length 673 meters. The cost to fence a meter is 10 dollars. How much will it cost to fence the entire field?
The length of the field = 673 meters.
The cost to fence 1 meter of the field = 10 dollars.
To find the total cost to fence, we find the perimeter of the field,
Perimeter of the field = 4a
Here a = 673
Therefore, the perimeter of the field = 4 × 673 = 2,692.
The cost to fence the field = 2,692 × 10 = 26,920.
The total cost = 26,920 dollars.
Explanation
To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per meter. So, the total cost is 26,920 dollars.
Problem 3
Find the area of a circle whose radius is 673 meters.
The area of the circle = 1,423,459.29 m²
Explanation
The area of a circle = πr²
Here, r = 673
Therefore, the area of the circle = π × 673²
= 3.14 × 673 × 673
= 1,423,459.29 m².
Problem 4
The area of a square is 452,929 cm². Find the perimeter of the square.
The perimeter of the square is 2,692 cm.
Explanation
The area of the square = a²
Here, the area is 452,929 cm²
The length of the side is √452,929 = 673
Perimeter of the square = 4a
Here, a = 673
Therefore, the perimeter = 4 × 673 = 2,692.
Problem 5
Find the square of 674.
The square of 674 is 454,276.
Explanation
The square of 674 is multiplying 674 by 674. So, the square = 674 × 674 = 454,276.
FAQs on Square of 673
1.What is the square of 673?
2.What is the square root of 673?
3.Is 673 a prime number?
4.What are the first few multiples of 673?
5.What is the square of 672?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Square of 673?
8.How do technology and digital tools in Oman support learning Algebra and Square of 673?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Square of 673.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 673, etc.
- Exponential form: Writing a number as a base raised to a power, e.g., 9² where 9 is the base and 2 is the exponent.
- Square root: The inverse operation of the square. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 452,929 is a perfect square of 673.
- Odd number: A number not divisible by 2. For example, 673 is an odd number.
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About BrightChamps in Oman
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.
