113 LearnersLast updated on May 29th, 2025
Square of 318
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 318.
What is the Square of 318
The square of a number is the product of the number itself.
The square of 318 is 318 × 318.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 318², where 318 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 318 is 318 × 318 = 101124.
Square of 318 in exponential form: 318²
Square of 318 in arithmetic form: 318 × 318
How to Calculate the Value of Square of 318
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 318.
Step 1: Identify the number. Here, the number is 318.
Step 2: Multiplying the number by itself, we get, 318 × 318 = 101124.
The square of 318 is 101124.
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 318
So: 318² = 318 × 318 = 101124
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 318.
Step 1: Enter the number in the calculator. Enter 318 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 318 × 318
Step 3: Press the equal to button to find the answer. Here, the square of 318 is 101124.
Tips and Tricks for the Square of 318
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 318
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.
Solved Examples on Square of 318
Problem 1
Find the length of the square, where the area of the square is 101124 cm².
The area of a square = a²
So, the area of a square = 101124 cm²
So, the length = √101124 = 318.
The length of each side = 318 cm
Explanation
The length of a square is 318 cm.
Because the area is 101124 cm², the length is √101124 = 318.
Problem 2
Sarah is planning to carpet her square room of length 318 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 318 feet
The cost to carpet 1 square foot of room = 5 dollars.
To find the total cost to carpet, we find the area of the room.
Area of the room = area of the square = a²
Here a = 318
Therefore, the area of the room = 318² = 318 × 318 = 101124.
The cost to carpet the room = 101124 × 5 = 505620.
The total cost = 505620 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 505620 dollars.
Problem 3
Find the area of a circle whose radius is 318 meters.
The area of the circle = 318,105.64 m²
Explanation
The area of a circle = πr²
Here, r = 318
Therefore, the area of the circle = π × 318² = 3.14 × 318 × 318 = 318,105.64 m².
Problem 4
The area of the square is 101124 cm². Find the perimeter of the square.
The perimeter of the square is 1272 cm.
Explanation
The area of the square = a²
Here, the area is 101124 cm²
The length of the side is √101124 = 318
Perimeter of the square = 4a
Here, a = 318
Therefore, the perimeter = 4 × 318 = 1272.
Problem 5
Find the square of 319.
The square of 319 is 101761.
Explanation
The square of 319 is multiplying 319 by 319.
So, the square = 319 × 319 = 101761.
FAQs on Square of 318
1.What is the square of 318?
2.What is the square root of 318?
3.Is 318 a prime number?
4.What are the first few multiples of 318?
5.What is the square of 317?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 318?
8.How do technology and digital tools in United States support learning Algebra and Square of 318?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 318.
- Square: The product of a number multiplied by itself. For example, the square of 4 is 16.
- Exponential form: A mathematical notation indicating the number of times a number is multiplied by itself. For example, 3².
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 49 is 7.
- Multiplication method: A method of finding the square of a number by multiplying the number by itself.
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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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