116 LearnersLast updated on May 26th, 2025
Square of 1.3
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 1.3.
What is the Square of 1.3
The square of a number is the product of the number by itself. The square of 1.3 is 1.3 × 1.3. The square of a number often ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1.3², where 1.3 is the base and 2 is the exponent. The square of a positive or negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 1.3 is 1.3 × 1.3 = 1.69.
Square of 1.3 in exponential form: 1.3²
Square of 1.3 in arithmetic form: 1.3 × 1.3
How to Calculate the Value of Square of 1.3
The square of a number is found by multiplying the number by itself. Let’s explore how to find the square of a number. These are common methods used to find it.
- 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 1.3.
Step 1: Identify the number. Here, the number is 1.3.
Step 2: Multiply the number by itself, we get, 1.3 × 1.3 = 1.69. The square of 1.3 is 1.69.
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 1.3 So: 1.3² = 1.3 × 1.3 = 1.69
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 1.3.
Step 1: Enter the number in the calculator Enter 1.3 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1.3 × 1.3
Step 3: Press the equal button to find the answer. Here, the square of 1.3 is 1.69.
Tips and Tricks for the Square of 1.3: Tips and tricks can make it easier 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 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 1.3
Mistakes are common among students 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 their answers. 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 1.3
Problem 1
If the side of a square is 1.3 meters, what is the area of the square?
The area of a square = a²
So, the side of the square is 1.3 meters.
The area = 1.3 × 1.3 = 1.69 m².
Explanation
The area of the square is 1.69 m², as the side length is 1.3 meters, and the area is 1.3² = 1.69.
Problem 2
A small garden has a square shape with a side length of 1.3 meters. If planting flowers costs $4 per square meter, what is the total cost to plant the entire garden?
The side length of the garden = 1.3 meters.
The cost to plant 1 square meter = $4.
To find the total cost, calculate the area of the garden.
Area of the garden = area of the square = a²
Here a = 1.3
Therefore, the area = 1.3² = 1.3 × 1.3 = 1.69 m².
The cost to plant the garden = 1.69 × 4 = $6.76.
The total cost = $6.76.
Explanation
To find the total cost to plant the garden, multiply the area of the garden by the cost to plant per square meter. So, the total cost is $6.76.
Problem 3
Find the area of a circle whose radius is 1.3 meters.
The area of the circle = 5.31 m².
Explanation
The area of a circle = πr²
Here, r = 1.3
Therefore, the area of the circle = π × 1.3² = 3.14 × 1.3 × 1.3 = 5.31 m².
Problem 4
The area of a square is 1.69 cm². Find the perimeter of the square.
The perimeter of the square is 5.2 cm.
Explanation
The area of the square = a²
Here, the area is 1.69 cm².
The length of the side is √1.69 = 1.3 cm.
Perimeter of the square = 4a Here, a = 1.3
Therefore, the perimeter = 4 × 1.3 = 5.2 cm.
Problem 5
Find the square of 1.4.
The square of 1.4 is 1.96.
Explanation
The square of 1.4 is found by multiplying 1.4 by 1.4.
So, the square = 1.4 × 1.4 = 1.96.
FAQs on Square of 1.3
1.What is the square of 1.3?
2.What is the square root of 1.3?
3.Is 1.3 a rational number?
4.What are the first few multiples of 1.3?
5.What is the square of 1.2?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 1.3?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 1.3?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 1.3.
- Rational Number: A number that can be expressed as a fraction where both the numerator and the denominator are integers.
- Exponential Form: A way of expressing a number as a base raised to a power, like 1.3².
- Square Root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Decimal: A number with a fractional part separated by a decimal point, like 1.3.
- Multiplication: The arithmetic operation of scaling one number by another, often used to calculate squares, like 1.3 × 1.3.
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About BrightChamps in Vietnam
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.
