116 LearnersLast updated on May 26th, 2025
Square of 2.8
The product of multiplying a number by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 2.8.
What is the Square of 2.8
The square of a number is the product of the number itself. The square of 2.8 is 2.8 × 2.8. The square of a number can end in any digit depending on the decimal. We write it in math as 2.8², where 2.8 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 2.8 is 2.8 × 2.8 = 7.84.
Square of 2.8 in exponential form: 2.8²
Square of 2.8 in arithmetic form: 2.8 × 2.8
How to Calculate the Value of Square of 2.8
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 2.8
Step 1: Identify the number. Here, the number is 2.8
Step 2: Multiplying the number by itself, we get, 2.8 × 2.8 = 7.84.
The square of 2.8 is 7.84.
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 2.8 So: 2.8² = 2.8 × 2.8 = 7.84
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 2.8.
Step 1: Enter the number in the calculator Enter 2.8 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 2.8 × 2.8
Step 3: Press the equal to button to find the answer Here, the square of 2.8 is 7.84.
Tips and Tricks for the Square of 2.8: 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 whole 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 2.8
Mistakes are common among kids when doing math, especially when it is 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 else by swapping 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.
Solved Examples on Square of 2.8
Problem 1
Find the area of a square plot if each side measures 2.8 meters.
The area of a square = a²
Here, a = 2.8 meters
Area = 2.8 × 2.8 = 7.84 m²
Explanation
The area of a square is calculated by squaring the length of one side. Thus, the area is 7.84 m² for a side length of 2.8 meters.
Problem 2
A garden measures 2.8 meters on each side. If the cost to plant flowers is 4 dollars per square meter, what is the total cost?
The length of the garden side = 2.8 meters
The cost to plant flowers = 4 dollars per square meter.
To find the total cost, we find the area of the garden,
Area of the garden = a²
Here a = 2.8
Therefore, the area = 2.8² = 7.84 m²
The cost to plant the garden = 7.84 × 4 = 31.36 dollars.
Explanation
To find the total cost, multiply the area by the cost per square meter. The total cost is 31.36 dollars.
Problem 3
Find the circumference of a circle with a diameter of 2.8 meters.
The circumference of the circle = 8.8 meters
Explanation
The circumference of a circle = πd
Here, d = 2.8
Therefore, the circumference = π × 2.8 ≈ 3.14 × 2.8 = 8.8 meters.
Problem 4
The area of a square is 7.84 m². Find the length of each side.
The length of each side is 2.8 meters.
Explanation
The area of the square = a²
Here, the area is 7.84 m²
The length of the side is √7.84 = 2.8
Problem 5
Find the square of 3.0.
The square of 3.0 is 9.0
Explanation
The square of 3.0 is multiplying 3.0 by 3.0. So, the square = 3.0 × 3.0 = 9.0
FAQs on Square of 2.8
1.What is the square of 2.8?
2.What is the square root of 2.8?
3.Is 2.8 a rational number?
4.What are the first few multiples of 2.8?
5.What is the square of 2.5?
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 2.8?
8.How do technology and digital tools in United States support learning Algebra and Square of 2.8?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 2.8.
- Decimal number: A number that contains a whole part and a fractional part separated by a decimal point. For example, 2.8.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 2.8² where 2.8 is the base and 2 is the power.
- Square: The square of a number is the result of multiplying the number by itself.
- Square root: The square root is the inverse operation of the square. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Rational number: A number that can be expressed as the quotient or fraction of two integers, with a non-zero denominator. For example, 2.8 can be expressed as 28/10.
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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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