116 LearnersLast updated on May 26th, 2025
Square of 338
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 338.
What is the Square of 338
The square of a number is the product of the number itself. The square of 338 is 338 × 338. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 338², where 338 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 338 is 338 × 338 = 114,244. Square of 338 in exponential form: 338² Square of 338 in arithmetic form: 338 × 338
How to Calculate the Value of Square of 338
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 338.
Step 1: Identify the number. Here, the number is 338.
Step 2: Multiplying the number by itself, we get, 338 × 338 = 114,244. The square of 338 is 114,244.
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 338. So: 338² = 338 × 338 = 114,244
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 338.
Step 1: Enter the number in the calculator. Enter 338 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 338 × 338.
Step 3: Press the equal to button to find the answer. Here, the square of 338 is 114,244.
Tips and Tricks for the Square of 338 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 338
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 338² with (3+3+8)² or (330+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 errors.
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 338
Problem 1
A square garden has an area of 114,244 square meters. Find the length of one side of the garden.
The area of a square = a² So, the area of a square = 114,244 m² So, the length = √114,244 = 338. The length of each side = 338 meters
Explanation
The length of a square garden is 338 meters.
Because the area is 114,244 m², the length is √114,244 = 338.
Problem 2
A painter is painting a square ceiling of length 338 feet. The cost to paint a square foot is 4 dollars. How much will it cost to paint the full ceiling?
The length of the ceiling = 338 feet The cost to paint 1 square foot of ceiling = 4 dollars. To find the total cost to paint, we find the area of the ceiling, Area of the ceiling = area of the square = a² Here a = 338 Therefore, the area of the ceiling = 338² = 338 × 338 = 114,244. The cost to paint the ceiling = 114,244 × 4 = 456,976. The total cost = 456,976 dollars
Explanation
To find the cost to paint the ceiling, we multiply the area of the ceiling by the cost to paint per foot.
So, the total cost is 456,976 dollars.
Problem 3
Find the area of a circle whose radius is 338 meters.
The area of the circle = 359,289.94 m²
Explanation
The area of a circle = πr²
Here, r = 338
Therefore, the area of the circle = π × 338² = 3.14 × 338 × 338 = 359,289.94 m².
Problem 4
The area of a square is 114,244 cm². Find the perimeter of the square.
The perimeter of the square is 1,352 cm.
Explanation
The area of the square = a²
Here, the area is 114,244 cm²
The length of the side is √114,244 = 338
Perimeter of the square = 4a
Here, a = 338
Therefore, the perimeter = 4 × 338 = 1,352 cm.
Problem 5
Find the square of 339.
The square of 339 is 114,921.
Explanation
The square of 339 is multiplying 339 by 339.
So, the square = 339 × 339
= 114,921.
FAQs on Square of 338
1.What is the square of 338?
2.What is the square root of 338?
3.Is 338 a prime number?
4.What are the first few multiples of 338?
5.What is the square of 337?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 338?
8.How do technology and digital tools in India support learning Algebra and Square of 338?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 338
- Square: The product of multiplying a number by itself. For example, 338² = 114,244.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponential Form: A way of expressing numbers as a base raised to a power. For example, 338² represents 338 raised to the power of 2.
- Square Root: The number that produces a specified quantity when multiplied by itself. For example, the square root of 114,244 is 338.
- Perimeter: The total length of the sides or edges of a polygon. For a square, it is 4 times the length of one side.
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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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