101 LearnersLast updated on June 6th, 2025
Square of 5.2
The product of multiplying a number by itself is the square of that number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 5.2.
What is the Square of 5.2
The square of a number is the product of the number with itself. The square of 5.2 is 5.2 × 5.2. The square of a number can end in any digit depending on the number. We write it in math as 5.22, where 5.2 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.
For example, 52 = 25; (-5)2 = 25.
The square of 5.2 is 5.2 × 5.2 = 27.04.
Square of 5.2 in exponential form: 5.22
Square of 5.2 in arithmetic form: 5.2 × 5.2
How to Calculate the Value of the Square of 5.2
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 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 multiply the number by itself to find the square. The product here is the square of the number. Let's find the square of 5.2.
Step 1: Identify the number. Here, the number is 5.2.
Step 2: Multiplying the number by itself, we get, 5.2 × 5.2 = 27.04.
The square of 5.2 is 27.04.
Using a Formula (\(a^2\))
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 5.2. So: (5.22 = 5.2 × 5.2 = 27.04)
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 5.2.
Step 1: Enter the number in the calculator Enter 5.2 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 5.2 × 5.2 Step 3: Press the equal to button to find the answer Here, the square of 5.2 is 27.04.
Tips and Tricks for the Square of 5.2
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, (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 5.2
Mistakes are common among students when doing math, especially when it involves 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 steps or swap 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 5 is 25, and the square root of 25 is ±5.
Solved Examples on Square of 5.2
Problem 1
A rectangular garden has a length of 5.2 meters and a width of 5.2 meters. What is the area of the garden?
The area of the garden = length × width = 5.2 m × 5.2 m = 27.04 m²
Explanation
The garden is a square with sides of 5.2 meters, so the area is calculated by multiplying the side length by itself, resulting in an area of 27.04 m².
Problem 2
A square table has a side length of 5.2 feet. If the cost to cover each square foot is 4 dollars, how much will it cost to cover the entire table?
The length of the table = 5.2 feet
The cost to cover 1 square foot = 4 dollars.
To find the total cost, we find the area of the table:
Area of the table = side²
= (5.22)
= 27.04 sq ft.
The cost to cover the table = 27.04 × 4 = 108.16 dollars.
Explanation
To find the cost to cover the table, we multiply the area by the cost per square foot. So, the total cost is 108.16 dollars.
Problem 3
A circular pond has a radius of 5.2 meters. What is the area of the pond?
The area of the pond = 84.95 m²
Explanation
The area of a circle = (pi r2)
Here, (r = 5.2)
Therefore, the area of the circle = (pi × 5.2 × 5.2)
= 3.14 × 5.2 × 5.2
= 84.95 m².
Problem 4
The area of a square field is 27.04 m². What is the perimeter of the field?
The perimeter of the field is 20.8 meters.
Explanation
The area of the square = (a2)
Here, the area is 27.04 m²
The length of a side is (sqrt{27.04} = 5.2)
Perimeter of the square = 4a
Here, (a = 5.2)
Therefore, the perimeter = 4 × 5.2 = 20.8 meters.
Problem 5
Find the square of 6.2.
The square of 6.2 is 38.44.
Explanation
The square of 6.2 is found by multiplying 6.2 by 6.2.
So, the square = 6.2 × 6.2 = 38.44.
FAQs on Square of 5.2
1.What is the square of 5.2?
2.What is the square root of 5.2?
3.Is 5.2 a rational number?
4.What are the first few multiples of 5.2?
5.What is the square of 5.0?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 5.2?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 5.2?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square of 5.2
- Rational number: A number that can be expressed as a fraction \(\frac{a}{b}\) where \(a\) and \(b\) are integers and \(b \neq 0\).
- Exponential form: Writing a number using a base and an exponent, such as (5.22).
- Square root: The inverse operation of squaring a number, represented by (sqrt{}).
- Perfect square: A number that is the square of an integer.
- Multiplication: The mathematical operation of scaling one number by another.
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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.
