121 LearnersLast updated on May 26th, 2025
Square of 139
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 139.
What is the Square of 139
The square of a number is the product of the number itself. The square of 139 is 139 × 139. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 139², where 139 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 139 is 139 × 139 = 19,321. Square of 139 in exponential form: 139² Square of 139 in arithmetic form: 139 × 139
How to Calculate the Value of Square of 139
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 139.
Step 1: Identify the number. Here, the number is 139.
Step 2: Multiplying the number by itself, we get, 139 × 139 = 19,321. The square of 139 is 19,321.
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 139. So: 139² = 139 × 139 = 19,321
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 139.
Step 1: Enter the number in the calculator Enter 139 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 139 × 139
Step 3: Press the equal to button to find the answer Here, the square of 139 is 19,321.
Tips and Tricks for the Square of 139 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 139
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 swap 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 using the formula.
The formula to find the square of the number is a². Instead, students may use 139² with (13 + 9)² or (130 + 9)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 139
Problem 1
Find the length of the square, where the area of the square is 19,321 cm².
The area of a square = a² So, the area of a square = 19,321 cm² So, the length = √19,321 = 139. The length of each side = 139 cm
Explanation
The length of a square is 139 cm. Because the area is 19,321 cm² the length is √19,321 = 139.
Problem 2
Anna is planning to tile her square kitchen floor of length 139 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 139 feet The cost to tile 1 square foot of floor = 5 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 = 139 Therefore, the area of the floor = 139² = 139 × 139 = 19,321. The cost to tile the floor = 19,321 × 5 = 96,605. The total cost = 96,605 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 96,605 dollars.
Problem 3
Find the area of a circle whose radius is 139 meters.
The area of the circle = 60,752.26 m²
Explanation
The area of a circle = πr²
Here, r = 139
Therefore, the area of the circle = π × 139²
= 3.14 × 139 × 139
= 60,752.26 m².
Problem 4
The area of the square is 19,321 cm². Find the perimeter of the square.
The perimeter of the square is 556 cm.
Explanation
The area of the square = a²
Here, the area is 19,321 cm²
The length of the side is √19,321 = 139
Perimeter of the square = 4a
Here, a = 139
Therefore, the perimeter = 4 × 139 = 556.
Problem 5
Find the square of 140.
The square of 140 is 19,600.
Explanation
The square of 140 is multiplying 140 by 140.
So, the square = 140 × 140 = 19,600.
FAQs on Square of 139
1.What is the square of 139?
2.What is the square root of 139?
3.Is 139 a prime number?
4.What are the first few multiples of 139?
5.What is the square of 138?
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 139?
8.How do technology and digital tools in United States support learning Algebra and Square of 139?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 139.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, 36, 49, ...
- Exponential form: A mathematical notation indicating the number of times a number is multiplied by itself. For example, 139² where 139 is the base and 2 is the exponent.
- Area: The measurement of the surface of a shape. For example, the area of a square is calculated as side².
- Inverse operations: Operations that reverse the effect of each other. For example, squaring and square rooting are inverse operations.
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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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