125 LearnersLast updated on May 26th, 2025
Square of 1170
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 1170.
What is the Square of 1170
The square of a number is the product of the number itself. The square of 1170 is 1170 × 1170. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1170², where 1170 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 1170 is 1170 × 1170 = 1,368,900.
Square of 1170 in exponential form: 1170²
Square of 1170 in arithmetic form: 1170 × 1170
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How to Calculate the Value of Square of 1170
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 1170.
Step 1: Identify the number. Here, the number is 1170
Step 2: Multiplying the number by itself, we get, 1170 × 1170 = 1,368,900.
The square of 1170 is 1,368,900.
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 1170 So: 1170² = 1170 × 1170 = 1,368,900
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 1170.
Step 1: Enter the number in the calculator Enter 1170 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1170 × 1170
Step 3: Press the equal to button to find the answer Here, the square of 1170 is 1,368,900.
Tips and Tricks for the Square of 1170
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 1170
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 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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use (1+1+7+0)² or (1100+70)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 1170
Problem 1
Find the length of the square, where the area of the square is 1,368,900 cm².
The area of a square = a²
So, the area of a square = 1,368,900 cm²
So, the length = √1,368,900 = 1,170.
The length of each side = 1,170 cm
Explanation
The length of a square is 1,170 cm.
Because the area is 1,368,900 cm² the length is √1,368,900 = 1,170.
Problem 2
Anna is planning to tile her square garden of length 1,170 feet. The cost to lay a tile per square foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 1,170 feet
The cost to lay tile per square foot of 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 = 1,170
Therefore, the area of the garden = 1,170² = 1,368,900.
The cost to tile the garden = 1,368,900 × 5 = 6,844,500.
The total cost = 6,844,500 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to lay tile per square foot. So, the total cost is 6,844,500 dollars.
Problem 3
Find the area of a circle whose radius is 1,170 meters.
The area of the circle = 4,301,070.9 m²
Explanation
The area of a circle = πr²
Here, r = 1,170
Therefore, the area of the circle = π × 1,170² = 3.14 × 1,170 × 1,170 = 4,301,070.9 m².
Problem 4
The area of the square is 1,396,900 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,396,900 cm²
The length of the side is √1,396,900 = 1,180
Perimeter of the square = 4a
Here, a = 1,180
Therefore, the perimeter = 4 × 1,180 = 4,720.
Problem 5
Find the square of 1,171.
The square of 1,171 is 1,371,241
Explanation
The square of 1,171 is multiplying 1,171 by 1,171.
So, the square = 1,171 × 1,171 = 1,371,241
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FAQs on Square of 1170
1.What is the square of 1170?
2.What is the square root of 1170?
3.Is 1170 a perfect square?
4.What are the first few multiples of 1170?
5.What is the square of 1169?
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Important Glossaries for Square 1170.
- Square: The result of multiplying a number by itself. For example, 2² = 4.
- Exponential form: A way of expressing numbers using a base and an exponent, such as 1170².
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square since 12² = 144.
- Square root: The inverse operation of squaring a number, denoted by √. For example, √144 = 12.
- Even number: A number divisible by 2, such as 4 or 6.
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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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: He loves to play the quiz with kids through algebra to make kids love it.
