150 LearnersLast updated on May 26th, 2025
Square of 1.6
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 1.6.
What is the Square of 1.6
The square of a number is the product of the number by itself. The square of 1.6 is 1.6 × 1.6. We write it in math as 1.6², where 1.6 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, (5)² = 25; (-5)² = 25.
The square of 1.6 is 1.6 × 1.6 = 2.56.
Square of 1.6 in exponential form: 1.6²
Square of 1.6 in arithmetic form: 1.6 × 1.6
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How to Calculate the Value of Square of 1.6
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 1.6.
Step 1: Identify the number. Here, the number is 1.6
Step 2: Multiplying the number by itself, we get, 1.6 × 1.6 = 2.56.
The square of 1.6 is 2.56.
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 1.6 So: 1.6² = 1.6 × 1.6 = 2.56
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 1.6.
Step 1: Enter the number in the calculator Enter 1.6 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1.6 × 1.6
Step 3: Press the equal to button to find the answer Here, the square of 1.6 is 2.56.
Tips and Tricks for the Square of 1.6: 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 number may not always be a whole number. For example, (1.2)² = 1.44
- The square of a positive number is always positive. For example, (2)² = 4
- The square of a negative number is also positive. For example, (-2)² = 4
- 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, √4 = 2.
Common Mistakes to Avoid When Calculating the Square of 1.6
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 1.5 is 2.25, and the square root of 2.25 is ±1.5.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use (1+0.6)² or (1.5+0.1)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 2 is 4 and the square root of 4 is ±2.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
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Solved Examples on Square of 1.6
Problem 1
Find the area of a square plot where the side is 1.6 meters.
The area of a square = a²
The side of the square = 1.6 meters
So, the area = 1.6² = 1.6 × 1.6 = 2.56 m²
Explanation
The area of the square is 2.56 m² because the side length of the square is 1.6 meters. Hence, the area is 1.6 × 1.6 = 2.56 m².
Problem 2
A square garden has a side length of 1.6 meters. If the cost to plant flowers is $5 per square meter, what is the total cost to plant the garden?
The side of the garden = 1.6 meters
The cost to plant per square meter = $5
To find the total cost to plant, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1.6
Therefore, the area of the garden = 1.6² = 1.6 × 1.6 = 2.56 m²
The cost to plant the garden = 2.56 × 5 = $12.80
The total cost = $12.80
Explanation
To find the cost to plant the garden, we multiply the area of the garden by the cost to plant per square meter. So, the total cost is $12.80.
Problem 3
Find the area of a circle whose radius is 1.6 meters.
The area of the circle = 8.042 m²
Explanation
The area of a circle = πr²
Here, r = 1.6
Therefore, the area of the circle = π × 1.6² = 3.14 × 1.6 × 1.6 = 8.042 m².
Problem 4
The area of a square is 2.56 cm². Find the perimeter of the square.
The perimeter of the square is 6.4 cm
Explanation
The area of the square = a²
Here, the area is 2.56 cm²
The length of the side is √2.56 = 1.6
Perimeter of the square = 4a
Here, a = 1.6
Therefore, the perimeter = 4 × 1.6 = 6.4 cm.
Problem 5
Find the square of 1.7.
The square of 1.7 is 2.89
Explanation
The square of 1.7 is multiplying 1.7 by 1.7. So, the square = 1.7 × 1.7 = 2.89
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FAQs on Square of 1.6
1.What is the square of 1.6?
2.What is the square root of 1.6?
3.Is 1.6 a prime number?
4.What is the square of 2?
5.Can a decimal number be a perfect square?
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Important Glossaries for Square 1.6.
- Decimal number: A number that contains a decimal point. For example, 1.6, 2.5, etc.
- Exponential form: Writing a number in the form of a power. For example, 1.6² where 1.6 is the base and 2 is the exponent.
- 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.
- Perfect square: A number that is the square of an integer. For example, 9 is a perfect square because it is 3².
- Perimeter: The total distance around the edge of a geometric figure, often measured in the same unit as the side lengths.
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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.
