114 LearnersLast updated on May 26th, 2025
Square of -12
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 -12.
What is the Square of -12
The square of a number is the product of the number by itself. The square of -12 is -12 × -12. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-12)², where -12 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 -12 is -12 × -12 = 144.
Square of -12 in exponential form: (-12)²
Square of -12 in arithmetic form: -12 × -12
How to Calculate the Value of Square of -12
The square of a number is found by multiplying the number by itself. 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 -12.
Step 1: Identify the number. Here, the number is -12.
Step 2: Multiplying the number by itself, we get, -12 × -12 = 144. The square of -12 is 144.
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 -12. So: (-12)² = -12 × -12 = 144
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 -12.
Step 1: Enter the number in the calculator Enter -12 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -12 × -12
Step 3: Press the equal button to find the answer Here, the square of -12 is 144.
Tips and Tricks for the Square of -12: 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 -12
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.
Solved Examples on Square of -12
Problem 1
Find the length of the square, where the area of the square is 144 cm².
The area of a square = a²
So, the area of a square = 144 cm²
So, the length = √144 = 12.
The length of each side = 12 cm
Explanation
The length of a square is 12 cm. Because the area is 144 cm², the length is √144 = 12.
Problem 2
John is planning to tile his square patio of length 12 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full patio?
The length of the patio = 12 feet
The cost to tile 1 square foot of the patio = 5 dollars.
To find the total cost to tile, we find the area of the patio,
Area of the patio = area of the square = a²
Here a = 12
Therefore, the area of the patio = 12² = 12 × 12 = 144.
The cost to tile the patio = 144 × 5 = 720.
The total cost = 720 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 720 dollars.
Problem 3
Find the area of a circle whose radius is 12 meters.
The area of the circle = 452.16 m²
Explanation
The area of a circle = πr²
Here, r = 12
Therefore, the area of the circle = π × 12² = 3.14 × 12 × 12 = 452.16 m².
Problem 4
The area of the square is 144 cm². Find the perimeter of the square.
The perimeter of the square is 48 cm
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 13.
The square of 13 is 169
Explanation
The square of 13 is multiplying 13 by 13. So, the square = 13 × 13 = 169
FAQs on Square of -12
1.What is the square of -12?
2.What is the square root of -12?
3.Is -12 a prime number?
4.What are the first few multiples of 12?
5.What is the square of 11?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of -12?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of -12?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of -12.
- Imaginary number: A number that when squared gives a negative result. For example, i, where i² = -1.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9², where 9 is the base and 2 is the power.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Square: The result of multiplying a number by itself. For example, the square of 3 is 9.
- Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
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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.
