103 LearnersLast updated on June 6th, 2025
Square of 6.4
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 6.4.
What is the Square of 6.4
The square of a number is the product of the number itself. The square of 6.4 is 6.4 × 6.4. The square of a number can end in any decimal digit. We write it in math as 6.4², where 6.4 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 6.4 is 6.4 × 6.4 = 40.96.
Square of 6.4 in exponential form: 6.4²
Square of 6.4 in arithmetic form: 6.4 × 6.4
How to Calculate the Value of Square of 6.4
The square of a number is multiplying the number by itself. Let’s learn how to find the square of a number. These are 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 6.4
Step 1: Identify the number. Here, the number is 6.4
Step 2: Multiplying the number by itself, we get, 6.4 × 6.4 = 40.96.
The square of 6.4 is 40.96.
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 6.4
So: 6.4² = 6.4 × 6.4 = 40.96
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 6.4.
Step 1: Enter the number in the calculator Enter 6.4 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×)
That is 6.4 × 6.4
Step 3: Press the equal to button to find the answer Here, the square of 6.4 is 40.96.
Tips and Tricks for the Square of 6.4
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 a number with a fractional part may not be a whole number. For example, 6.4² = 40.96
- 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 6.4
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 steps or swap digits. To avoid this, 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 6.4
Problem 1
A garden has a square-shaped area of 40.96 m². Find the length of each side of the garden.
The area of a square = a²
So, the area of a square = 40.96 m²
So, the length = √40.96 = 6.4.
The length of each side = 6.4 m
Explanation
The length of a square is 6.4 m. Because the area is 40.96 m², the length is √40.96 = 6.4.
Problem 2
Lucy is painting a square canvas of side length 6.4 ft. The cost to paint a square foot is 5 dollars. How much will it cost to paint the entire canvas?
The length of the canvas = 6.4 ft
The cost to paint 1 square foot of canvas = 5 dollars.
To find the total cost to paint, we find the area of the canvas,
Area of the canvas = area of the square = a²
Here a = 6.4
Therefore, the area of the canvas = 6.4² = 6.4 × 6.4 = 40.96.
The cost to paint the canvas = 40.96 × 5 = 204.8.
The total cost = 204.8 dollars
Explanation
To find the cost to paint the canvas, we multiply the area of the canvas by the cost to paint per square foot. So, the total cost is 204.8 dollars.
Problem 3
Find the area of a circle whose radius is 6.4 meters.
The area of the circle = 128.6144 m²
Explanation
The area of a circle = πr²
Here, r = 6.4
Therefore, the area of the circle = π × 6.4²
= 3.14 × 6.4 × 6.4 = 128.6144 m².
Problem 4
The area of a square is 40.96 cm². Find the perimeter of the square.
The perimeter of the square is 25.6 cm
Explanation
The area of the square = a²
Here, the area is 40.96 cm² y
The length of the side is √40.96 = 6.4
Perimeter of the square = 4a
Here, a = 6.4
Therefore, the perimeter = 4 × 6.4 = 25.6.
Problem 5
Find the square of 7.
The square of 7 is 49
Explanation
The square of 7 is multiplying 7 by 7.
So, the square = 7 × 7 = 49
FAQs on Square of 6.4
1.What is the square of 6.4?
2.What is the square root of 6.4?
3.Is 6.4 a rational number?
4.What are the first few multiples of 6.4?
5.What is the square of 7?
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 6.4?
8.How do technology and digital tools in United States support learning Algebra and Square of 6.4?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 6.4.
- Rational number: A number that can be expressed as a fraction of two integers. For example, 6.4 is 64/10.
- Exponential form: A way of writing numbers using bases and exponents, such as 6.4².
- Square root: The inverse operation of squaring, finding a number whose square is the given number.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Area: The measure of the surface enclosed within a shape, often expressed in square units.
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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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