118 LearnersLast updated on May 26th, 2025
Square of -2
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 -2.
What is the Square of -2
The square of a number is the product of the number with itself. The square of -2 is -2 × -2. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-2)², where -2 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 -2 is -2 × -2 = 4.
Square of -2 in exponential form: (-2)²
Square of -2 in arithmetic form: -2 × -2
How to Calculate the Value of Square of -2
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 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 -2.
Step 1: Identify the number. Here, the number is -2.
Step 2: Multiplying the number by itself, we get, -2 × -2 = 4.
The square of -2 is 4.
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 -2 So: (-2)² = -2 × -2 = 4
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 -2.
Step 1: Enter the number in the calculator Enter -2 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -2 × -2
Step 3: Press the equal to button to find the answer Here, the square of -2 is 4.
Tips and Tricks for the Square of -2: 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 -2
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 3 is 9, and the square root of 9 is ±3.
Solved Examples on Square of -2
Problem 1
Find the area of a square where the side length is -2 cm.
The area of a square = a²
So, the side length = -2 cm.
The area = (-2)² = 4 cm².
The area of the square is 4 cm².
Explanation
The side length of a square is -2 cm.
The area is calculated as (-2)² = 4 cm², which is always positive.
Problem 2
A painter needs to paint a square board with a side length of -2 meters. If the cost to paint one square meter is 5 dollars, how much will it cost to paint the board?
The side length of the board = -2 meters.
The cost to paint 1 square meter = 5 dollars.
To find the total cost to paint, we find the area of the board,
Area of the board = a²
Here a = -2
Therefore, the area = (-2)² = 4.
The cost to paint the board = 4 × 5 = 20.
The total cost = 20 dollars.
Explanation
To find the cost to paint the board, we multiply the area of the board by the cost to paint per square meter. So, the total cost is 20 dollars.
Problem 3
Find the area of a circle whose radius is -2 meters.
The area of the circle = 12.56 m²
Explanation
The area of a circle = πr²
Here, r = -2
Therefore, the area of the circle = π × (-2)² = 3.14 × 4 = 12.56 m².
Problem 4
The area of a square is 4 cm². Find the perimeter of the square.
The perimeter of the square is 8 cm.
Explanation
The area of the square = a²
Here, the area is 4 cm² The length of the side is √4 = 2
Perimeter of the square = 4a
Here, a = 2
Therefore, the perimeter = 4 × 2 = 8 cm.
Problem 5
Find the square of -3.
The square of -3 is 9.
Explanation
The square of -3 is multiplying -3 by -3. So, the square = -3 × -3 = 9.
FAQs on Square of -2
1.What is the square of -2?
2.What is the square root of 4?
3.Is -2 a prime number?
4.What are some properties of squaring a negative number?
5.What is the square of 3?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of -2?
8.How do technology and digital tools in United States support learning Algebra and Square of -2?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of -2.
- Perfect square: A number that is the square of an integer. For example, 4 is a perfect square because it is 2².
- Inverse operation: An operation that reverses the effect of another operation. For example, squaring and square rooting are inverse operations.
- Base: In exponentiation, the base is the number that is multiplied by itself. For example, in (-2)², -2 is the base.
- Exponent: The power to which a number is raised in exponential expressions. For example, in (-2)², 2 is the exponent.
- Parentheses: Symbols used in mathematics to group numbers or variables, indicating the order of operations.
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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
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