121 LearnersLast updated on May 26th, 2025
Square of 1142
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 1142.
What is the Square of 1142
The square of a number is the product of the number itself. The square of 1142 is 1142 × 1142. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1142², where 1142 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 1142 is 1142 × 1142 = 1,304,164.
Square of 1142 in exponential form: 1142²
Square of 1142 in arithmetic form: 1142 × 1142
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How to Calculate the Value of Square of 1142
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 1142.
Step 1: Identify the number. Here, the number is 1142.
Step 2: Multiplying the number by itself, we get, 1142 × 1142 = 1,304,164.
The square of 1142 is 1,304,164.
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 1142. So: 1142² = 1142 × 1142 = 1,304,164
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 1142.
Step 1: Enter the number in the calculator Enter 1142 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1142 × 1142
Step 3: Press the equal to button to find the answer Here, the square of 1142 is 1,304,164.
Tips and Tricks for the Square of 1142
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 1142
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 114² with (1 + 1 + 4)² or (110 + 32)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.
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Solved Examples on Square of 1142
Problem 1
A field has an area of 1,304,164 m². Find the side length of the field if it is square-shaped.
The area of a square = a²
So, the area of the field = 1,304,164 m²
So, the length = √1,304,164 = 1142.
The length of each side = 1142 m
Explanation
The length of the field is 1142 m.
Because the area is 1,304,164 m², the length is √1,304,164 = 1142.
Problem 2
A square garden has a side length of 1142 meters. If fencing costs 5 dollars per meter, what is the total cost to fence the entire garden?
The length of the garden = 1142 meters
The cost to fence 1 meter = 5 dollars
The perimeter of the garden = 4a,
where a = 1142
Therefore, the perimeter = 4 × 1142 = 4568 meters
The total cost to fence the garden = 4568 × 5 = 22,840 dollars
Explanation
To find the cost to fence the garden, multiply the perimeter by the cost per meter. So, the total cost is 22,840 dollars.
Problem 3
A circular pond has a radius of 1142 meters. Calculate its area.
The area of the pond = 4,096,252.56 m²
Explanation
The area of a circle = πr²
Here, r = 1142
Therefore, the area of the pond = π × 1142² = 3.14 × 1142 × 1142 = 4,096,252.56 m²
Problem 4
The area of a square is 1,304,164 cm². Find the length of its diagonal.
The diagonal of the square is approximately 1614.69 cm
Explanation
The area of the square = a²
Here, the area is 1,304,164 cm²
The length of the side is √1,304,164 = 1142 cm
Diagonal of the square = a√2 Here, a = 1142
Therefore, the diagonal = 1142 × √2 ≈ 1614.69 cm
Problem 5
Find the square of 1143.
The square of 1143 is 1,306,449
Explanation
The square of 1143 is multiplying 1143 by 1143.
So, the square = 1143 × 1143 = 1,306,449
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FAQs on Square of 1142
1.What is the square of 1142?
2.What is the square root of 1142?
3.Is 1142 a prime number?
4.What are the first few multiples of 1142?
5.What is the square of 1141?
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Important Glossaries for Square 1142.
- Square: The square of a number is the product of the number itself. For example, 5² = 25.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7.
- Exponential form: A way of writing numbers using a base and an exponent, such as 92 where 9 is the base and 2 is the power.
- Square root: The inverse operation of the square. The square root of a number is another number whose square is the original number, like √144 = 12.
- Perimeter: The total distance around the edge of a two-dimensional shape. For example, the perimeter of a square is 4 times its side length.
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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.
