120 LearnersLast updated on May 26th, 2025
Square of 137
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 137.
What is the Square of 137
The square of a number is the product of the number itself. The square of 137 is 137 × 137. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 137², where 137 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 137 is 137 × 137 = 18,769. Square of 137 in exponential form: 137² Square of 137 in arithmetic form: 137 × 137
How to Calculate the Value of Square of 137
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 137.
Step 1: Identify the number. Here, the number is 137.
Step 2: Multiplying the number by itself, we get, 137 × 137 = 18,769. The square of 137 is 18,769.
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 137. So: 137² = 137 × 137 = 18,769
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 137.
Step 1: Enter the number in the calculator. Enter 137 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 137 × 137.
Step 3: Press the equal to button to find the answer. Here, the square of 137 is 18,769.
Tips and Tricks for the Square of 137 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 137
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 in using the formula.
The formula to find the square of the number is a². Students may incorrectly use (13 + 7)² or (130 + 7)² instead of 137². 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 137
Problem 1
A square garden has an area of 18,769 square meters. What is the length of one side of the garden?
The area of a square = a² So, the area of the square = 18,769 m² So, the length = √18,769 = 137. The length of each side = 137 m
Explanation
The length of the square garden is 137 meters because the area is 18,769 m², and the length is √18,769 = 137.
Problem 2
A square billboard has a side length of 137 feet. If the cost to paint a square foot is 4 dollars, what is the total cost to paint the billboard?
The length of the billboard = 137 feet The cost to paint 1 square foot = 4 dollars. To find the total cost, calculate the area of the billboard, Area = a² Here a = 137 Therefore, the area = 137² = 137 × 137 = 18,769. The cost to paint the billboard = 18,769 × 4 = 75,076. The total cost = 75,076 dollars
Explanation
To find the cost to paint the billboard, multiply the area of the billboard by the cost to paint per foot.
So, the total cost is 75,076 dollars.
Problem 3
Find the area of a circular park with a radius of 137 meters.
The area of the circle = 59,046.57 m²
Explanation
The area of a circle = πr² Here, r = 137
Therefore, the area of the circle = π × 137²
= 3.14 × 137 × 137
= 59,046.57 m².
Problem 4
The area of a square is 18,976 cm². Find the perimeter of the square.
The perimeter of the square is 548 cm.
Explanation
The area of the square = a²
Here, the area is 18,976 cm²
The length of the side is √18,976 = 138
Perimeter of the square = 4a
Here, a = 138
Therefore, the perimeter = 4 × 138 = 552 cm.
Problem 5
Find the square of 138.
The square of 138 is 19,044.
Explanation
The square of 138 is multiplying 138 by 138.
So, the square = 138 × 138 = 19,044
FAQs on Square of 137
1.What is the square of 137?
2.What is the square root of 137?
3.Is 137 a prime number?
4.What are the first few multiples of 137?
5.What is the square of 136?
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 137?
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Important Glossaries for Square 137.
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 137, …
- Exponential form: Writing a number in the form of a power, such as 137² where 137 is the base and 2 is the power.
- Square root: The inverse operation of squaring, where the square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 16, 25, 36, …
- Odd number: A number that is not divisible by 2. For example, 1, 3, 5, 7, 137, …
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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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