113 LearnersLast updated on May 26th, 2025
Square of 1187
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 1187.
What is the Square of 1187
The square of a number is the product of the number by itself. The square of 1187 is 1187 × 1187. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1187², where 1187 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 1187 is 1187 × 1187 = 1,409,569.
Square of 1187 in exponential form: 1187²
Square of 1187 in arithmetic form: 1187 × 1187
How to Calculate the Value of Square of 1187
The square of a number is multiplying the number by itself. Let's learn how to find the square of a number. These are 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 1187.
Step 1: Identify the number. Here, the number is 1187
Step 2: Multiplying the number by itself, we get, 1187 × 1187 = 1,409,569.
The square of 1187 is 1,409,569.
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 1187
So: 1187² = 1187 × 1187 = 1,409,569
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 1187.
Step 1: Enter the number in the calculator Enter 1187 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1187 × 1187
Step 3: Press the equal to button to find the answer
Here, the square of 1187 is 1,409,569.
Tips and Tricks for the Square of 1187
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 1187
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 this, 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 when using the formula.
The formula to find the square of the number is a². Instead, students may mistakenly use 1187² with (1 + 1 + 8 + 7)² or (1100 + 87)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, 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 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.
Solved Examples on Square of 1187
Problem 1
Find the length of the square, where the area of the square is 1,409,569 cm².
The area of a square = a²
So, the area of a square = 1,409,569 cm²
So, the length = √1,409,569 = 1187.
The length of each side = 1187 cm
Explanation
The length of a square is 1187 cm. Because the area is 1,409,569 cm², the length is √1,409,569 = 1187.
Problem 2
Sarah is planning to tile her square floor with a length of 1187 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 1187 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 1187
Therefore, the area of the floor = 1187² = 1187 × 1187 = 1,409,569.
The cost to tile the floor = 1,409,569 × 5 = 7,047,845.
The total cost = 7,047,845 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 7,047,845 dollars.
Problem 3
Find the area of a circle whose radius is 1187 meters.
The area of the circle = 4,426,279.66 m²
Explanation
The area of a circle = πr²
Here, r = 1187
Therefore, the area of the circle = π × 1187²
= 3.14 × 1187 × 1187
= 4,426,279.66 m².
Problem 4
The area of the square is 1,409,569 cm². Find the perimeter of the square.
The perimeter of the square is 4748 cm.
Explanation
The area of the square = a²
Here, the area is 1,409,569 cm²
The length of the side is √1,409,569 = 1187
Perimeter of the square = 4a
Here, a = 1187
Therefore, the perimeter = 4 × 1187 = 4748.
Problem 5
Find the square of 1188.
The square of 1188 is 1,411,344.
Explanation
The square of 1188 is multiplying 1188 by 1188. So, the square = 1188 × 1188 = 1,411,344.
FAQs on Square of 1187
1.What is the square of 1187?
2.What is the square root of 1187?
3.Is 1187 a prime number?
4.What are the first few multiples of 1187?
5.What is the square of 1186?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 1187?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 1187?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square of 1187.
- Prime Number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, .
- 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.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Odd Number: A number not divisible by 2. For example, 1, 3, 5, 7, .
- Inverse Operations: Operations that reverse the effect of each other. For example, squaring and square rooting are inverse operations.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 1187
About BrightChamps in Qatar
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.
