101 LearnersLast updated on May 26th, 2025
Square of 693
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 693.
What is the Square of 693
The square of a number is the product of the number with itself. The square of 693 is 693 × 693. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as \(693^2\), where 693 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, \(5^2 = 25\); \((-5)^2 = 25\). The square of 693 is 693 × 693 = 480,249. Square of 693 in exponential form: \(693^2\) Square of 693 in arithmetic form: 693 × 693
How to Calculate the Value of Square of 693
The square of a number is found by multiplying the number by itself. Here are some 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 multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 693. Step 1: Identify the number. Here, the number is 693 Step 2: Multiply the number by itself, we get, 693 × 693 = 480,249. The square of 693 is 480,249.
Using a Formula (\(a^2\))
In this method, we use the formula \(a^2\) to find the square of the number, where \(a\) is the number. Step 1: Understanding the equation Square of a number = \(a^2\) \(a^2 = a × a\) Step 2: Identifying the number and substituting the value in the equation. Here, ‘a’ is 693 So: \(693^2 = 693 × 693 = 480,249\)
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 693. Step 1: Enter the number in the calculator. Enter 693 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 693 × 693 Step 3: Press the equal to button to find the answer. Here, the square of 693 is 480,249. Tips and Tricks for the Square of 693 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, \(6^2 = 36\). - The square of an odd number is always an odd number. For example, \(5^2 = 25\). - 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, \(\sqrt{1.44} = 1.2\). - The square root of a perfect square is always a whole number. For example, \(\sqrt{144} = 12\).
Common Mistakes to Avoid When Calculating the Square of 693
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 this, 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.
Solved Examples on Square of 693
Problem 1
Find the length of a square where the area of the square is 480,249 cm².
The area of a square = \(a^2\) So, the area of a square = 480,249 cm² So, the length = \(\sqrt{480,249} = 693\). The length of each side = 693 cm
Explanation
The length of a square is 693 cm. Because the area is 480,249 cm², the length is \(\sqrt{480,249} = 693\).
Problem 2
Anna is planning to tile her square floor of length 693 feet. The cost to tile a foot is 10 dollars. How much will it cost to tile the full floor?
The length of the floor = 693 feet The cost to tile 1 square foot of floor = 10 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = \(a^2\) Here \(a = 693\) Therefore, the area of the floor = \(693^2 = 693 × 693 = 480,249\). The cost to tile the floor = 480,249 × 10 = 4,802,490. The total cost = 4,802,490 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 4,802,490 dollars.
Problem 3
Find the area of a circle whose radius is 693 meters.
The area of the circle = 1,508,448.66 m²
Explanation
The area of a circle = \(\pi r^2\) Here, \(r = 693\) Therefore, the area of the circle = \(\pi × 693^2\) = 3.14 × 693 × 693 = 1,508,448.66 m².
Problem 4
The area of the square is 480,249 cm². Find the perimeter of the square.
The perimeter of the square is 2,772 cm
Explanation
The area of the square = \(a^2\) Here, the area is 480,249 cm² The length of the side is \(\sqrt{480,249} = 693\) Perimeter of the square = 4a Here, \(a = 693\) Therefore, the perimeter = 4 × 693 = 2,772.
Problem 5
Find the square of 694.
The square of 694 is 481,636
Explanation
The square of 694 is multiplying 694 by 694. So, the square = 694 × 694 = 481,636
FAQs on Square of 693
1.What is the square of 693?
2.What is the square root of 693?
3.Is 693 a prime number?
4.What are the first few multiples of 693?
5.What is the square of 692?
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 693?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 693?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square of 693
- Exponent: The power to which a number is raised in mathematical expressions. For example, in \(693^2\), 2 is the exponent. - Perfect square: A number that is the square of an integer. For example, 480,249 is a perfect square because it is \(693^2\). - Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 480,249 is 693. - Area: The measure of the surface of a shape. For squares, it is calculated as side length squared. - Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
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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
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