112 LearnersLast updated on May 26th, 2025
Square of -11
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and more. In this topic, we will discuss the square of -11.
What is the Square of -11
The square of a number is the product of the number by itself. The square of -11 is -11 × -11. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-11)², where -11 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 -11 is -11 × -11 = 121.
Square of -11 in exponential form: (-11)²
Square of -11 in arithmetic form: -11 × -11
How to Calculate the Value of Square of -11
The square of a number is found by 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of -11.
Step 1: Identify the number. Here, the number is -11.
Step 2: Multiplying the number by itself, we get, -11 × -11 = 121.
The square of -11 is 121.
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 -11 So: (-11)² = -11 × -11 = 121
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 -11.
Step 1: Enter the number in the calculator Enter -11 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -11 × -11
Step 3: Press the equal to button to find the answer Here, the square of -11 is 121.
Tips and Tricks for the Square of -11: 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 -11
Mistakes are common among kids when doing math, especially when 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 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.
Solved Examples on Square of -11
Problem 1
Find the length of the square, where the area of the square is 121 cm².
The area of a square = a²
So, the area of a square = 121 cm²
So, the length = √121 = 11.
The length of each side = 11 cm
Explanation
The length of a square is 11 cm. Because the area is 121 cm² the length is √121 = 11.
Problem 2
Sarah is planning to paint her square wall of length 11 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 11 feet
The cost to paint 1 square foot of wall = 3 dollars.
To find the total cost to paint, we find the area of the wall,
Area of the wall = area of the square = a²
Here a = 11
Therefore, the area of the wall = 11² = 11 × 11 = 121.
The cost to paint the wall = 121 × 3 = 363.
The total cost = 363 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 363 dollars.
Problem 3
Find the area of a circle whose radius is 11 meters.
The area of the circle = 380.13 m²
Explanation
The area of a circle = πr²
Here, r = 11
Therefore, the area of the circle = π × 11² = 3.14 × 11 × 11 = 380.13 m².
Problem 4
The area of the square is 144 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 144 cm²
The length of the side is √144 = 12
Perimeter of the square = 4a
Here, a = 12
Therefore, the perimeter = 4 × 12 = 48.
Problem 5
Find the square of 12.
The square of 12 is 144
Explanation
The square of 12 is multiplying 12 by 12. So, the square = 12 × 12 = 144
FAQs on Square of -11
1.What is the square of -11?
2.What is the square root of -11?
3.Is -11 a prime number?
4.What are the first few multiples of 11?
5.What is the square of 10?
Important Glossaries for Square -11.
- Negative number: A number that is less than zero. For example, -1, -2, -3, etc.
- Imaginary number: A number that when squared gives a negative result, represented as a multiple of the imaginary unit i, where i² = -1.
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, etc.
- Prime number: A positive integer greater than 1 that has no positive divisors other than 1 and itself.
- Exponential form: A way of writing numbers using a base and an exponent. For example, 2³ where 2 is the base and 3 is the exponent.
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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.
