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414 LearnersLast updated on August 5, 2025
Square of 3.2
What is the Square of 3.2
The square of a number is the product of the number by itself. The square of 3.2 is 3.2 × 3.2. The square of a number can end in any digit. We write it in math as 3.2², where 3.2 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 3.2 is 3.2 × 3.2 = 10.24. Square of 3.2 in exponential form: 3.2² Square of 3.2 in arithmetic form: 3.2 × 3.2
How to Calculate the Value of Square of 3.2
The square of a number is 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 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 3.2. Step 1: Identify the number. Here, the number is 3.2. Step 2: Multiplying the number by itself, we get, 3.2 × 3.2 = 10.24. The square of 3.2 is 10.24.
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Using a Formula (a²)
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 3.2. Step 1: Enter the number in the calculator Enter 3.2 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 3.2 × 3.2 Step 3: Press the equal to button to find the answer Here, the square of 3.2 is 10.24. Tips and Tricks for the Square of 3.2 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 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, √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 3.2
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 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 2.5 is 6.25, and the square root of 6.25 is ±2.5.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 3.2² with (3 + 0.2)² or (3 + 0.2)². So, students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So, students should do regular practice to avoid errors.
Solved Examples on Square of 3.2
Problem 1
Find the length of a square, where the area of the square is 10.24 cm².
The area of a square = a² So, the area of a square = 10.24 cm² So, the length = √10.24 = 3.2. The length of each side = 3.2 cm
Explanation
The length of a square is 3.2 cm. Because the area is 10.24 cm², the length is √10.24 = 3.2.
Problem 2
Sarah is planning to paint her square table top of length 3.2 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full table top?
The length of the table top = 3.2 feet The cost to paint 1 square foot of the table top = 5 dollars. To find the total cost to paint, we find the area of the table top, Area of the table top = area of the square = a² Here a = 3.2 Therefore, the area of the table top = 3.2² = 3.2 × 3.2 = 10.24. The cost to paint the table top = 10.24 × 5 = 51.2. The total cost = 51.2 dollars
Explanation
To find the cost to paint the table top, we multiply the area of the table top by the cost to paint per foot. So, the total cost is 51.2 dollars.
Problem 3
Find the area of a circle whose radius is 3.2 meters.
The area of the circle = 32.15 m²
Explanation
The area of a circle = πr² Here, r = 3.2 Therefore, the area of the circle = π × 3.2² = 3.14 × 3.2 × 3.2 = 32.15 m².
Problem 4
The area of the square is 10.24 cm². Find the perimeter of the square.
The perimeter of the square is 12.8 cm.
Explanation
The area of the square = a² Here, the area is 10.24 cm² The length of the side is √10.24 = 3.2 Perimeter of the square = 4a Here, a = 3.2 Therefore, the perimeter = 4 × 3.2 = 12.8 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 3.2
1.What is the square of 3.2?
2.What is the square root of 3.2?
3.Is 3.2 a whole number?
4.What are the first few multiples of 3.2?
5.What is the square of 3?
Important Glossaries for Square of 3.2.
Decimal number: A number that has a fractional part separated from the integer part by a decimal point. Exponential form: A way of expressing numbers as a base raised to a power. For example, 3.2² where 3.2 is the base and 2 is the exponent. Multiplication: The mathematical operation of scaling one number by another. Perimeter: The total length around a two-dimensional shape. Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3.
Vikrant Sharma
About the Author
Vikrant is a passionate Mathematics teacher with over 5 years of teaching experience in both conventional and Vedic Maths. His student-focused approach combines clear concepts with motivation and encouragement, helping students build confidence and develo
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
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