125 LearnersLast updated on May 26th, 2025
Square of 1171
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 1171.
What is the Square of 1171
The square of a number is the product of the number itself. The square of 1171 is 1171 × 1171. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1171², where 1171 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 1171 is 1171 × 1171 = 1,371,841.
Square of 1171 in exponential form: 1171²
Square of 1171 in arithmetic form: 1171 × 1171
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How to Calculate the Value of Square of 1171
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 1171.
Step 1: Identify the number. Here, the number is 1171
Step 2: Multiplying the number by itself, we get, 1171 × 1171 = 1,371,841.
The square of 1171 is 1,371,841.
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 1171 So: 1171² = 1171 × 1171 = 1,371,841
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 1171.
Step 1: Enter the number in the calculator Enter 1171 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 1171 × 1171
Step 3: Press the equal to button to find the answer Here, the square of 1171 is 1,371,841.
Tips and Tricks for the Square of 1171
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 1171
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 1171² with (1+1+7+1)² or (1100+71)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 1171
Problem 1
Find the length of the square, where the area of the square is 1,371,841 cm².
The area of a square = a²
So, the area of a square = 1,371,841 cm²
So, the length = √1,371,841 = 1171.
The length of each side = 1171 cm
Explanation
The length of a square is 1171 cm.
Because the area is 1,371,841 cm² the length is √1,371,841 = 1171.
Problem 2
Linda is planning to cover her square garden, each side of which is 1171 meters long, with grass. The cost to cover a square meter is 5 dollars. Then how much will it cost to cover the full garden?
The length of the garden = 1171 meters
The cost to cover 1 square meter of garden = 5 dollars.
To find the total cost to cover, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1171
Therefore, the area of the garden = 1171² = 1171 × 1171 = 1,371,841.
The cost to cover the garden = 1,371,841 × 5 = 6,859,205.
The total cost = 6,859,205 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per square meter. So, the total cost is 6,859,205 dollars.
Problem 3
Find the area of a circle whose radius is 1171 meters.
The area of the circle = 4,312,115.86 m²
Explanation
The area of a circle = πr²
Here, r = 1171
Therefore, the area of the circle = π × 1171² = 3.14 × 1171 × 1171 = 4,312,115.86 m².
Problem 4
The area of the square is 1,371,841 cm². Find the perimeter of the square.
The perimeter of the square is 4,684 cm
Explanation
The area of the square = a²
Here, the area is 1,371,841 cm²
The length of the side is √1,371,841 = 1171
Perimeter of the square = 4a
Here, a = 1171
Therefore, the perimeter = 4 × 1171 = 4,684 cm.
Problem 5
Find the square of 1172.
The square of 1172 is 1,374,384
Explanation
The square of 1172 is multiplying 1172 by 1172.
So, the square = 1172 × 1172 = 1,374,384
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FAQs on Square of 1171
1.What is the square of 1171?
2.What is the square root of 1171?
3.Is 1171 a prime number?
4.What are the first few multiples of 1171?
5.What is the square of 1170?
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Important Glossaries for Square 1171.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, and 11.
- Exponential form: A way of writing numbers using bases and exponents. For example, 9² means 9 raised to the power of 2.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because 6² = 36.
- Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 49 is 7.
- Odd number: A number not divisible by 2. For example, 1, 3, 5, 7, and 9.
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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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: He loves to play the quiz with kids through algebra to make kids love it.
