114 LearnersLast updated on May 30th, 2025
Square of 387
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 387.
What is the Square of 387
The square of a number is the product of the number by itself.
The square of 387 is 387 × 387.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 387², where 387 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive.
For example, 5²=25; (-5)²=25.
The square of 387 is 387 × 387 = 149,769.
Square of 387 in exponential form: 387²
Square of 387 in arithmetic form: 387 × 387
How to Calculate the Value of Square of 387
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 387.
Step 1: Identify the number. Here, the number is 387
Step 2: Multiplying the number by itself, we get, 387 × 387 = 149,769.
The square of 387 is 149,769.
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 387 So: 387² = 387 × 387 = 149,769
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 387.
Step 1: Enter the number in the calculator Enter 387 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 387 × 387
Step 3: Press the equal to button to find the answer Here, the square of 387 is 149,769.
Tips and Tricks for the Square of 387
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 387
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 387
Problem 1
Find the length of the square, where the area of the square is 149,769 cm².
The area of a square = a² So, the area of a square = 149,769 cm² So, the length = √149,769 = 387. The length of each side = 387 cm
Explanation
The length of a square is 387 cm.
Because the area is 149,769 cm², the length is √149,769 = 387.
Problem 2
Sarah is planning to tile her square floor of length 387 feet. The cost to tile a foot is 10 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 387 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 = a² Here a = 387 Therefore, the area of the floor = 387² = 387 × 387 = 149,769. The cost to tile the floor = 149,769 × 10 = 1,497,690. The total cost = 1,497,690 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 1,497,690 dollars.
Problem 3
Find the area of a circle whose radius is 387 meters.
The area of the circle = 470,144.43 m²
Explanation
The area of a circle = πr²
Here, r = 387
Therefore, the area of the circle = π × 387² = 3.14 × 387 × 387 = 470,144.43 m².
Problem 4
The area of the square is 149,769 cm². Find the perimeter of the square.
The perimeter of the square is 1,548 cm.
Explanation
The area of the square = a²
Here, the area is 149,769 cm²
The length of the side is √149,769 = 387
Perimeter of the square = 4a
Here, a = 387
Therefore, the perimeter = 4 × 387 = 1,548.
Problem 5
Find the square of 388.
The square of 388 is 150,544.
Explanation
The square of 388 is multiplying 388 by 388.
So, the square = 388 × 388 = 150,544.
FAQs on Square of 387
1.What is the square of 387?
2.What is the square root of 387?
3.Is 387 a prime number?
4.What are the first few multiples of 387?
5.What is the square of 386?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 387?
8.How do technology and digital tools in Canada support learning Algebra and Square of 387?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square of 387
- Prime number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Exponential form: Exponential form is a way of expressing a number as a base raised to an exponent. For example, 9², where 9 is the base and 2 is the exponent.
- Square root: The square root is a value that, when multiplied by itself, gives the original number.
- Perfect square: A perfect square is a number that is the square of an integer.
- Multiplication method: A method to find the square 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
: He loves to play the quiz with kids through algebra to make kids love it.
