117 LearnersLast updated on May 30th, 2025
Square of 383
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 this topic, we will discuss the square of 383.
What is the Square of 383
The square of a number is the product of the number itself.
The square of 383 is 383 × 383.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 383², where 383 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 383 is 383 × 383 = 146689.
Square of 383 in exponential form: 383²
Square of 383 in arithmetic form: 383 × 383
How to Calculate the Value of Square of 383
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 383.
Step 1: Identify the number. Here, the number is 383.
Step 2: Multiplying the number by itself, we get: 383 × 383 = 146689.
The square of 383 is 146689.
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 383.
So: 383² = 383 × 383 = 146689
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 383.
Step 1: Enter the number in the calculator Enter 383 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 383 × 383.
Step 3: Press the equal to button to find the answer.
Here, the square of 383 is 146689.
Tips and Tricks for the Square of 383
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 383
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 383
Problem 1
Find the length of the square, where the area of the square is 146689 cm².
The area of a square = a² So, the area of a square = 146689 cm² So, the length = √146689 = 383. The length of each side = 383 cm
Explanation
The length of a square is 383 cm.
Because the area is 146689 cm², the length is √146689 = 383.
Problem 2
Sarah wants to set up a square garden with a length of 383 meters. If the cost to plant flowers in a square meter is 10 dollars, how much will it cost to plant the entire garden?
The length of the garden = 383 meters The cost to plant flowers in 1 square meter of garden = 10 dollars. To find the total cost to plant, we find the area of the garden, Area of the garden = area of the square = a² Here a = 383 Therefore, the area of the garden = 383² = 383 × 383 = 146689. The cost to plant the garden = 146689 × 10 = 1466890. The total cost = 1466890 dollars.
Explanation
To find the cost to plant the garden, we multiply the area of the garden by the cost to plant per meter.
So, the total cost is 1,466,890 dollars.
Problem 3
Find the area of a circle whose radius is 383 meters.
The area of the circle = 460,764.43 m²
Explanation
The area of a circle = πr²
Here, r = 383
Therefore, the area of the circle = π × 383² = 3.14 × 383 × 383 = 460,764.43 m².
Problem 4
The area of the square is 148896 cm². Find the perimeter of the square.
The perimeter of the square is 1536 cm.
Explanation
The area of the square = a²
Here, the area is 148896 cm²
The length of the side is √148896 = 386
Perimeter of the square = 4a
Here, a = 386
Therefore, the perimeter = 4 × 386 = 1544.
Problem 5
Find the square of 384.
The square of 384 is 147456.
Explanation
The square of 384 is multiplying 384 by 384.
So, the square = 384 × 384 = 147456.
FAQs on Square of 383
1.What is the square of 383?
2.What is the square root of 383?
3.Is 383 a prime number?
4.What are the first few multiples of 383?
5.What is the square of 382?
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 383?
8.How do technology and digital tools in United States support learning Algebra and Square of 383?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 383.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 383, …
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Multiplication method: A technique used to find 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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