122 LearnersLast updated on May 26th, 2025
Square of 1.63
The product of multiplying a number by itself is the square of that number. Squaring is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1.63.
What is the Square of 1.63
The square of a number is the product of the number itself. The square of 1.63 is 1.63 × 1.63. The square of a number can end in any digit. We write it in math as (1.632), where 1.63 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 1.63 is 1.63 × 1.63 = 2.6569.
Square of 1.63 in exponential form: (1.632)
Square of 1.63 in arithmetic form: 1.63 × 1.63
How to Calculate the Value of Square of 1.63
The square of a number is found by 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1.63.
Step 1: Identify the number. Here, the number is 1.63.
Step 2: Multiplying the number by itself, we get, 1.63 × 1.63 = 2.6569.
The square of 1.63 is 2.6569.
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 1.63. So: (1.632 = 1.63 × 1.63 = 2.6569)
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 1.63.
Step 1: Enter the number in the calculator Enter 1.63 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1.63 × 1.63
Step 3: Press the equal button to find the answer Here, the square of 1.63 is 2.6569.
Tips and Tricks for the Square of 1.63: 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 can be any digit.
- 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 1.63
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 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of 1.63
Problem 1
Find the distance traveled in meters if a car moves at a constant speed of 1.63 meters per second for 1.63 seconds.
The distance traveled = speed × time
So, the distance traveled = 1.63 m/s × 1.63 s = 2.6569 meters.
Explanation
The distance traveled by the car is 2.6569 meters.
Because the speed is 1.63 m/s and the time is 1.63 seconds,
the distance is 1.63 × 1.63 = 2.6569 meters.
Problem 2
A square garden has a side length of 1.63 meters. What is the cost to cover the garden with soil, if the cost per square meter is 5 dollars?
The side length of the garden = 1.63 meters
The cost to cover 1 square meter of garden = 5 dollars.
To find the total cost to cover, we find the area of the garden,
Area of the garden = area of the square = (a2)
Here (a = 1.63)
Therefore, the area of the garden = (1.632 = 1.63 × 1.63 = 2.6569)
The cost to cover the garden = 2.6569 × 5 = 13.2845 dollars.
The total cost = 13.2845 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per square meter. So, the total cost is 13.2845 dollars.
Problem 3
Find the area of a circle whose radius is 1.63 meters.
The area of the circle = 8.3419 m²
Explanation
The area of a circle = (pi r2)
Here, (r = 1.63)
Therefore, the area of the circle = (pi × 1.63 × 1.63) = 3.14 × 2.6569 = 8.3419 m².
Problem 4
The area of a rectangular field is 2.6569 m². If the width is 1.63 meters, find the perimeter of the rectangle.
The perimeter of the rectangle is 7.26 meters.
Explanation
The area of the rectangle = length × width
Here, the area is 2.6569 m² and the width is 1.63 meters.
Length = area/width = 2.6569/1.63 = 1.63 meters.
Perimeter of the rectangle = 2 × (length + width)
Here, length = 1.63 meters and width = 1.63 meters.
Therefore, the perimeter = 2 × (1.63 + 1.63) = 2 × 3.26 = 6.52 meters.
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 1.63
1.What is the square of 1.63?
2.What is the square root of 1.63?
3.Is 1.63 a rational number?
4.What are the first few multiples of 1.63?
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 1.63?
8.How do technology and digital tools in United States support learning Algebra and Square of 1.63?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 1.63.
- Rational number: A number that can be expressed as a fraction of two integers. For example, 1.63 can be written as (163/100).
- Exponential form: A mathematical notation indicating the number of times a number is multiplied by itself. For example, (1.632) where 1.63 is the base and 2 is the exponent.
- Square root: The square root is 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.
- Perfect square: A number that is the square of an integer. For example, 9 is a perfect square because it is (32).
- Decimal number: A number that has a decimal point, representing a fraction of a whole. For example, 1.63 is a decimal number.
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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.
