101 LearnersLast updated on June 6th, 2025
Square of 7.8
The product of multiplying a number by itself is the square of that number. Squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 7.8.
What is the Square of 7.8
The square of a number is the product of the number itself. The square of 7.8 is 7.8 × 7.8. The square of a number often ends in 0, 1, 4, 5, 6, or 9. We write it in math as 7.8², where 7.8 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.
For example, 5² = 25; -5² = 25.
The square of 7.8 is 7.8 × 7.8 = 60.84.
Square of 7.8 in exponential form: 7.8²
Square of 7.8 in arithmetic form: 7.8 × 7.8
How to Calculate the Value of Square of 7.8
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 7.8:
Step 1: Identify the number. Here, the number is 7.8.
Step 2: Multiplying the number by itself, we get: 7.8 × 7.8 = 60.84.
The square of 7.8 is 60.84.
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 7.8
So: 7.8² = 7.8 × 7.8 = 60.84
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 7.8.
Step 1: Enter the number in the calculator Enter 7.8 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 7.8 × 7.8
Step 3: Press the equal to button to find the answer Here, the square of 7.8 is 60.84.
Tips and Tricks for the Square of 7.8
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 number is often 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 7.8
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 swap 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 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of 7.8
Problem 1
Find the length of a rectangular garden where the area is 60.84 m², and the width is 7.8 m.
The area of the rectangle = length × width
So, the area = 60.84 m²
Width = 7.8 m
Therefore, length = Area / Width
= 60.84 / 7.8
= 7.8 m
The length of the rectangle = 7.8 m
Explanation
The length of the rectangle is 7.8 m. The area is 60.84 m², so the length is 60.84 / 7.8 = 7.8.
Problem 2
Sarah wants to tile her square kitchen floor with tiles that measure 7.8 inches on each side. If each tile costs $2, how much will it cost to tile the entire floor?
Each side of the tile = 7.8 inches
Cost per tile = $2
To find the total cost, we find the area of one tile: Area = 7.8² = 60.84 square inches per tile
Since each tile covers 60.84 square inches and costs $2:
Total cost = Area × Cost per square inch = 60.84 × 2 = $121.68
Explanation
To find the cost to tile the floor, we multiply the area of one tile by the cost per tile. So, the total cost is $121.68.
Problem 3
Find the area of a semicircle whose diameter is 7.8 meters.
The area of the semicircle = 23.92 m²
Explanation
The radius of the circle = Diameter / 2 = 7.8 / 2 = 3.9 m
The area of the circle = πr² = π × 3.9 × 3.9 = 47.84 m²
Therefore, the area of the semicircle = 47.84 / 2 = 23.92 m²
Problem 4
The area of a square is 60.84 cm². Find the perimeter of the square.
The perimeter of the square is 31.2 cm.
Explanation
The area of the square = a²
Here, the area is 60.84 cm²
The length of the side is √60.84 = 7.8 cm
Perimeter of the square = 4a
Here, a = 7.8
Therefore, the perimeter = 4 × 7.8 = 31.2 cm
Problem 5
Find the square of 9.
The square of 9 is 81.
Explanation
The square of 9 is multiplying 9 by 9.
So, the square = 9 × 9 = 81.
FAQs on Square of 7.8
1.What is the square of 7.8?
2.What is the square root of 7.8?
3.Is 7.8 a rational number?
4.What are the first few multiples of 7.8?
5.What is the square of 8?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 7.8?
8.How do technology and digital tools in Australia support learning Algebra and Square of 7.8?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 7.8.
- Rational number: A number that can be expressed as the quotient or fraction of two integers.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Semicircle: A semicircle is half of a circle. The area of a semicircle is half the area of a full circle.
- Perimeter: The perimeter is the total length around a two-dimensional shape. For a square, it is four times the length of one side.
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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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