102 LearnersLast updated on May 26th, 2025
Square of 3.5
The product of multiplying a number 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 3.5.
What is the Square of 3.5
The square of a number is the product of the number with itself. The square of 3.5 is 3.5 × 3.5. The square of a number can end in any digit, depending on the number. We write it in math as \(3.5^2\), where 3.5 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, \(5^2 = 25\); \((-5)^2 = 25\). The square of 3.5 is 3.5 × 3.5 = 12.25. Square of 3.5 in exponential form: \(3.5^2\) Square of 3.5 in arithmetic form: 3.5 × 3.5
How to Calculate the Value of Square of 3.5
The square of a number is found by 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 3.5. Step 1: Identify the number. Here, the number is 3.5. Step 2: Multiplying the number by itself, we get, 3.5 × 3.5 = 12.25. The square of 3.5 is 12.25.
Using a Formula (\(a^2\))
In this method, we use the formula \(a^2\) to find the square of the number, where \(a\) is the number. Step 1: Understanding the equation Square of a number = \(a^2\) \(a^2 = a × a\) Step 2: Identifying the number and substituting the value in the equation. Here, ‘a’ is 3.5 So: \(3.5^2 = 3.5 × 3.5 = 12.25\)
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 3.5. Step 1: Enter the number in the calculator Enter 3.5 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 3.5 × 3.5 Step 3: Press the equal button to find the answer Here, the square of 3.5 is 12.25. Tips and Tricks for the Square of 3.5 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, \(6^2 = 36\) The square of an odd number is always an odd number. For example, \(5^2 = 25\) The last digit of the square of a number can be any digit. If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, \(\sqrt{1.44} = 1.2\) The square root of a perfect square is always a whole number. For example, \(\sqrt{144} = 12\).
Common Mistakes to Avoid When Calculating the Square of 3.5
Mistakes are common among students when doing math, especially when finding the square of a number. Let’s learn some common mistakes to master squaring 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 their answers. They can double-check by finding the square root of the solution they found. For example, the square of 2.5 is 6.25, and the square root of 6.25 is ±2.5.
Solved Examples on Square of 3.5
Problem 1
Find the length of the square, where the area of the square is 12.25 cm².
The area of a square = \(a^2\) So, the area of the square = 12.25 cm² So, the length = √12.25 = 3.5. The length of each side = 3.5 cm
Explanation
The length of a square is 3.5 cm. Because the area is 12.25 cm², the length is √12.25 = 3.5.
Problem 2
Tom is planning to paint his square wall of length 3.5 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 = 3.5 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 = \(a^2\) Here \(a = 3.5\) Therefore, the area of the wall = \(3.5^2 = 3.5 × 3.5 = 12.25\). The cost to paint the wall = 12.25 × 3 = 36.75. The total cost = 36.75 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 36.75 dollars.
Problem 3
Find the area of a circle whose radius is 3.5 meters.
The area of the circle = 38.48 m²
Explanation
The area of a circle = \(\pi r^2\) Here, \(r = 3.5\) Therefore, the area of the circle = \(\pi × 3.5^2\) = 3.14 × 3.5 × 3.5 = 38.48 m².
Problem 4
The area of the square is 12.25 cm². Find the perimeter of the square.
The perimeter of the square is 14 cm.
Explanation
The area of the square = \(a^2\) Here, the area is 12.25 cm² The length of the side is √12.25 = 3.5 Perimeter of the square = 4a Here, \(a = 3.5\) Therefore, the perimeter = 4 × 3.5 = 14 cm.
Problem 5
Find the square of 4.
The square of 4 is 16.
Explanation
The square of 4 is multiplying 4 by 4. So, the square = 4 × 4 = 16.
FAQs on Square of 3.5
1.What is the square of 3.5?
2.What is the square root of 3.5?
3.Is 3.5 a whole number?
4.What are the first few multiples of 3.5?
5.What is the square of 3?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 3.5?
8.How do technology and digital tools in India support learning Algebra and Square of 3.5?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 3.5.
Square: The result of multiplying a number by itself. For example, the square of 5 is 25. Exponential form: A way of writing numbers using a base and an exponent. For example, \(3.5^2\), where 3.5 is the base, and 2 is the exponent. Decimal number: A number that contains a fractional part separated by a decimal point. For example, 3.5. Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is \(4^2\). Square root: A value that, when multiplied by itself, gives the original number. For example, the square root of 25 is ±5.
Explore More algebra
Previous to Square of 3.5
About BrightChamps in India
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.
