136 LearnersLast updated on May 28th, 2025
Square of 1239
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 1239.
What is the Square of 1239
The square of a number is the product of the number itself.
The square of 1239 is 1239 × 1239.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1239², where 1239 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 1239 is 1239 × 1239 = 1,535,721.
Square of 1239 in exponential form: 1239²
Square of 1239 in arithmetic form: 1239 × 1239
How to Calculate the Value of Square of 1239
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 (a2)
- 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 1239.
Step 1: Identify the number. Here, the number is 1239
Step 2: Multiplying the number by itself, we get, 1239 × 1239 = 1,535,721.
The square of 1239 is 1,535,721.
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 1239
So: 1239² = 1239 × 1239 = 1,535,721
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 1239.
Step 1: Enter the number in the calculator. Enter 1239 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1239 × 1239
Step 3: Press the equal to button to find the answer. Here, the square of 1239 is 1,535,721.
Tips and Tricks for the Square of 1239
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 1239
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 1239² with (1 + 2 + 3 + 9)² or (1200 + 39)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 1239
Problem 1
Find the length of the square, where the area of the square is 1,535,721 cm².
The area of a square = a²
So, the area of a square = 1,535,721 cm²
So, the length = √1,535,721 = 1239.
The length of each side = 1239 cm
Explanation
The length of a square is 1239 cm.
Because the area is 1,535,721 cm², the length is √1,535,721 = 1239.
Problem 2
A farmer is planning to fence his square field of length 1239 meters. The cost to fence a meter is 10 dollars. Then how much will it cost to fence the full field?
The length of the field = 1239 meters
The cost to fence 1 square meter of field = 10 dollars.
To find the total cost to fence, we find the perimeter of the field.
Perimeter of the field = 4a
Here a = 1239
Therefore, the perimeter = 4 × 1239 = 4956 meters.
The cost to fence the field = 4956 × 10 = 49,560.
The total cost = 49,560 dollars
Explanation
To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per meter.
So, the total cost is 49,560 dollars.
Problem 3
Find the area of a circle whose radius is 1239 meters.
The area of the circle = 4,822,123.74 m²
Explanation
The area of a circle = πr²
Here, r = 1239
Therefore, the area of the circle = π × 1239² = 3.14 × 1239 × 1239 = 4,822,123.74 m².
Problem 4
The area of the square is 1,535,721 cm². Find the perimeter of the square.
The perimeter of the square is 4956 cm.
Explanation
The area of the square = a²
Here, the area is 1,535,721 cm²
The length of the side is √1,535,721 = 1239
Perimeter of the square = 4a
Here, a = 1239
Therefore, the perimeter = 4 × 1239 = 4956 cm.
Problem 5
Find the square of 1240.
The square of 1240 is 1,537,600
Explanation
The square of 1240 is multiplying 1240 by 1240.
So, the square = 1240 × 1240 = 1,537,600
FAQs on Square of 1239
1.What is the square of 1239?
2.What is the square root of 1239?
3.Is 1239 a prime number?
4.What are the first few multiples of 1239?
5.What is the square of 1238?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 1239?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1239?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square of 1239.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- 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.
- Circle area formula: The formula to find the area of a circle is πr², where r is the radius.
- Perimeter: The total length around a two-dimensional shape. For a square, it is 4 times the length of its side.
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Jaskaran Singh Saluja
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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.
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