135 LearnersLast updated on May 30th, 2025
Square of 389
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 389.
What is the Square of 389
The square of a number is the product of the number itself. The square of 389 is 389 × 389.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 389², where 389 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 389 is 389 × 389 = 151,321.
Square of 389 in exponential form: 389²
Square of 389 in arithmetic form: 389 × 389
How to Calculate the Value of Square of 389
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 389.
Step 1: Identify the number. Here, the number is 389.
Step 2: Multiplying the number by itself, we get, 389 × 389 = 151,321.
The square of 389 is 151,321.
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 389.
So: 389² = 389 × 389 = 151,321.
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 389.
Step 1: Enter the number in the calculator Enter 389 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 389 × 389.
Step 3: Press the equal to button to find the answer
Here, the square of 389 is 151,321.
Tips and Tricks for the Square of 389
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 389
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 389² with (3 + 8 + 9)² or (300 + 80 + 9)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 389
Problem 1
Find the length of the square, where the area of the square is 151,321 cm².
The area of a square = a² So, the area of a square = 151,321 cm² So, the length = √151,321 = 389. The length of each side = 389 cm
Explanation
The length of a square is 389 cm.
Because the area is 151,321 cm² the length is √151,321 = 389.
Problem 2
Alice is planning to paint her square wall of length 389 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 389 feet The cost to paint 1 square foot of wall = is 5 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 389 Therefore, the area of the wall = 389² = 389 × 389 = 151,321. The cost to paint the wall = 151,321 × 5 = 756,605. The total cost = 756,605 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot.
So, the total cost is 756,605 dollars.
Problem 3
Find the area of a circle whose radius is 389 meters.
The area of the circle = 475,291.18 m²
Explanation
The area of a circle = πr²
Here, r = 389
Therefore, the area of the circle = π × 389² = 3.14 × 389 × 389 = 475,291.18 m².
Problem 4
The area of the square is 151,321 cm². Find the perimeter of the square.
The perimeter of the square is 1,556 cm.
Explanation
The area of the square = a²
Here, the area is 151,321 cm²
The length of the side is √151,321 = 389
Perimeter of the square = 4a
Here, a = 389
Therefore, the perimeter = 4 × 389 = 1,556.
Problem 5
Find the square of 390.
The square of 390 is 152,100
Explanation
The square of 390 is multiplying 390 by 390.
So, the square = 390 × 390 = 152,100
FAQs on Square of 389
1.What is the square of 389?
2.What is the square root of 389?
3.Is 389 a prime number?
4.What are the first few multiples of 389?
5.What is the square of 388?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 389?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 389?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 389.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, …
- Exponential form: A way of writing numbers that involve a base and an exponent. For example, 9² where 9 is the base and 2 is the exponent.
- Square: The product of a number multiplied by itself. For example, 4 × 4 = 16.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Square root: The inverse operation of squaring a number. For example, the square root of 16 is 4.
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About BrightChamps in Vietnam
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.
