125 LearnersLast updated on May 26th, 2025
Square of 1139
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1139.
What is the Square of 1139
The square of a number is the product of the number with itself. The square of 1139 is 1139 × 1139. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1139², where 1139 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 1139 is 1139 × 1139 = 1,297,321.
Square of 1139 in exponential form: 1139²
Square of 1139 in arithmetic form: 1139 × 1139
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How to Calculate the Value of Square of 1139
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1139.
Step 1: Identify the number. Here, the number is 1139.
Step 2: Multiplying the number by itself, we get: 1139 × 1139 = 1,297,321.
The square of 1139 is 1,297,321.
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 1139. So: 1139² = 1139 × 1139 = 1,297,321
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 1139.
Step 1: Enter the number in the calculator. Enter 1139 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1139 × 1139.
Step 3: Press the equal to button to find the answer. Here, the square of 1139 is 1,297,321.
Tips and Tricks for the Square of 1139
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 1139
Mistakes are common among kids when doing math, especially when it involves 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 steps or swap digits. To avoid these, students should double-check their answers. 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 when using the formula.
The formula to find the square of the number is a². Instead, students may incorrectly use expressions like (11+39)² or (110+39)². Students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion. To avoid this, students should understand 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 parentheses when finding the square of a number can lead to errors. Students should understand parentheses and perform 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 practice regularly to avoid errors.
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Solved Examples on Square of 1139
Problem 1
Find the length of the square, where the area of the square is 1,297,321 cm².
The area of a square = a²
So, the area of a square = 1,297,321 cm²
The length = √1,297,321 = 1139.
The length of each side = 1139 cm
Explanation
The length of a square is 1139 cm.
Because the area is 1,297,321 cm², the length is √1,297,321 = 1139.
Problem 2
Alex is planning to tile his square garden of length 1139 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the full garden?
The length of the garden = 1139 feet
The cost to tile 1 square foot of the garden = 5 dollars.
To find the total cost to tile, we find the area of the garden:
Area of the garden = area of the square = a²
Here a = 1139
Therefore, the area of the garden = 1139² = 1139 × 1139 = 1,297,321.
The cost to tile the garden = 1,297,321 × 5 = 6,486,605 dollars.
The total cost = 6,486,605 dollars.
Explanation
To find the cost to tile the garden, multiply the area of the garden by the cost to tile per foot. So, the total cost is 6,486,605 dollars.
Problem 3
Find the area of a circle whose radius is 1139 meters.
The area of the circle = 4,073,007.38 m²
Explanation
The area of a circle = πr²
Here, r = 1139
Therefore, the area of the circle = π × 1139² = 3.14 × 1139 × 1139 = 4,073,007.38 m².
Problem 4
The area of the square is 1,297,321 cm². Find the perimeter of the square.
The perimeter of the square is 4,556 cm.
Explanation
The area of the square = a²
Here, the area is 1,297,321 cm²
The length of the side is √1,297,321 = 1139
Perimeter of the square = 4a
Here, a = 1139
Therefore, the perimeter = 4 × 1139 = 4,556 cm.
Problem 5
Find the square of 1140.
The square of 1140 is 1,299,600.
Explanation
The square of 1140 is found by multiplying 1140 by 1140.
So, the square = 1140 × 1140 = 1,299,600.
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FAQs on Square of 1139
1.What is the square of 1139?
2.What is the square root of 1139?
3.Is 1139 a prime number?
4.What are the first few multiples of 1139?
5.What is the square of 1140?
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 1139?
8.How do technology and digital tools in United States support learning Algebra and Square of 1139?
9.Does learning Algebra support future career opportunities for students in United States?
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Important Glossaries for Square of 1139.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of writing numbers using a base and an exponent. For example, 9² where 9 is the base and 2 is the exponent.
- Square root: The inverse operation of squaring a number. 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, 25 is a perfect square because it is 5².
- Arithmetic operations: Basic mathematical operations including addition, subtraction, multiplication, and division.
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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.
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