138 LearnersLast updated on May 26th, 2025
Square of 1.5
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 1.5.
What is the Square of 1.5
The square of a number is the product of the number with itself. The square of 1.5 is 1.5 × 1.5. The square of a number always ends in 0, 1, 4, 5, 6, or 9 when rounded to the nearest integer. We write it in math as 1.5², where 1.5 is the base and 2 is the exponent. The square of a positive number is always positive.
The square of 1.5 is 1.5 × 1.5 = 2.25.
Square of 1.5 in exponential form: 1.5²
Square of 1.5 in arithmetic form: 1.5 × 1.5
How to Calculate the Value of Square of 1.5
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 1.5.
Step 1: Identify the number. Here, the number is 1.5
Step 2: Multiplying the number by itself, we get, 1.5 × 1.5 = 2.25.
The square of 1.5 is 2.25.
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 1.5 So: 1.5² = 1.5 × 1.5 = 2.25
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 1.5.
Step 1: Enter the number in the calculator Enter 1.5 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 1.5 × 1.5
Step 3: Press the equal button to find the answer Here, the square of 1.5 is 2.25.
Tips and Tricks for the Square of 1.5: 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 a decimal or fraction can be calculated similarly to whole numbers.
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9 when rounded to the nearest integer.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √2.25 = 1.5
- The square root of a perfect square is always a whole number.
Common Mistakes to Avoid When Calculating the Square of 1.5
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 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 1.5 is 2.25, and the square root of 2.25 is ±1.5.
Solved Examples on Square of 1.5
Problem 1
Find the side length of a square, where the area of the square is 2.25 cm².
The area of a square = a²
So, the area of a square = 2.25 cm²
So, the length = √2.25 = 1.5.
The length of each side = 1.5 cm
Explanation
The length of a square is 1.5 cm.
Because the area is 2.25 cm², the length is √2.25 = 1.5.
Problem 2
Sarah is planning to paint her square table top of length 1.5 feet. The cost to paint a square foot is 3 dollars. How much will it cost to paint the full table top?
The length of the table top = 1.5 feet
The cost to paint 1 square foot of the table top = 3 dollars.
To find the total cost to paint, we find the area of the table top,
Area of the table top = area of the square = a²
Here a = 1.5
Therefore, the area of the table top = 1.5² = 1.5 × 1.5 = 2.25.
The cost to paint the table top = 2.25 × 3 = 6.75.
The total cost = 6.75 dollars
Explanation
To find the cost to paint the table top, we multiply the area of the table top by the cost to paint per square foot. So, the total cost is 6.75 dollars.
Problem 3
Find the area of a circle whose radius is 1.5 meters.
The area of the circle = 7.065 m²
Explanation
The area of a circle = πr²
Here, r = 1.5
Therefore, the area of the circle = π × 1.5² = 3.14 × 1.5 × 1.5 = 7.065 m².
Problem 4
The area of the square is 2.25 cm². Find the perimeter of the square.
The perimeter of the square is 6 cm.
Explanation
The area of the square = a²
Here, the area is 2.25 cm²
The length of the side is √2.25 = 1.5
Perimeter of the square = 4a
Here, a = 1.5
Therefore, the perimeter = 4 × 1.5 = 6.
Problem 5
Find the square of 2.
The square of 2 is 4.
Explanation
The square of 2 is multiplying 2 by 2. So, the square = 2 × 2 = 4.
FAQs on Square of 1.5
1.What is the square of 1.5?
2.What is the square root of 1.5?
3.Is 1.5 a rational number?
4.What is 1.5 as a percentage?
5.What is the square of 3?
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 1.5?
8.How do technology and digital tools in United States support learning Algebra and Square of 1.5?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 1.5
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole, such as 1/2 or 3/4.
- Decimal: A fraction written in a special form. Instead of writing 1/2, you can express it as 0.5.
- Rational number: A number that can be expressed as the quotient or fraction of two integers, such as 3/2 or 0.75.
- Exponent: A mathematical operation, written as a small number to the right and above a number, indicating how many times to multiply the number by itself.
- Perfect square: A number that is the square of an integer. For instance, 4 is a perfect square because it is 2 squared.
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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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