113 LearnersLast updated on May 26th, 2025
Square of 2
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 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 2², 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: 2²
Square of 2 in arithmetic form: 2 × 2
How to Calculate the Value of Square of 2
The square of a number involves multiplying the number by itself. Let’s learn how to find the square of a number using common methods.
- 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: 2² = 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 comes to 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 5 is 25, and the square root of 25 is ±5.
Solved Examples on Square of 2
Problem 1
Find the side length of a square, where the area of the square is 4 cm².
The area of a square = a²
So, the area of a square = 4 cm²
So, the length = √4 = 2.
The length of each side = 2 cm
Explanation
The length of a square is 2 cm.
Because the area is 4 cm², the length is √4 = 2.
Problem 2
Lisa is planning to cover her square table of length 2 feet with fabric. The cost to cover a foot of fabric is 3 dollars. How much will it cost to cover the full table?
The length of the table = 2 feet
The cost to cover 1 square foot of table = 3 dollars.
To find the total cost to cover, we find the area of the table,
Area of the table = area of the square = a²
Here a = 2 Therefore, the area of the table = 2² = 2 × 2 = 4.
The cost to cover the table = 4 × 3 = 12.
The total cost = 12 dollars
Explanation
To find the cost to cover the table, we multiply the area of the table by the cost to cover per foot. So, the total cost is 12 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 × 2² = 3.14 × 2 × 2 = 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.
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 2?
3.Is 2 a prime number?
4.What are the first few multiples of 2?
5.What is the square of 3?
Important Glossaries for Square 2.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc.
- Exponential form: A way of writing a number in the form of a power. For example, 2² where 2 is the base and 2 is the exponent.
- Square root: The inverse operation of squaring. The square root of a number is a number whose square is the original number.
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, etc.
- Even number: A number divisible by 2 without any remainder, such as 2, 4, 6, etc.
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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.
