118 LearnersLast updated on May 26th, 2025
Square of 1016
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1016.
What is the Square of 1016
The square of a number is the product of the number with itself. The square of 1016 is 1016 × 1016. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1016², where 1016 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 1016 is 1016 × 1016 = 1032256.
Square of 1016 in exponential form: 1016²
Square of 1016 in arithmetic form: 1016 × 1016
How to Calculate the Value of Square of 1016
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 1016.
Step 1: Identify the number. Here, the number is 1016.
Step 2: Multiplying the number by itself, we get, 1016 × 1016 = 1032256.
The square of 1016 is 1032256.
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 1016
So: 1016² = 1016 × 1016 = 1032256
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 1016.
Step 1: Enter the number in the calculator Enter 1016 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1016 × 1016
Step 3: Press the equal to button to find the answer Here, the square of 1016 is 1032256.
Tips and Tricks for the Square of 1016
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 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 1016
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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 1016² with (1 + 0 + 1 + 6)² or (1000 + 16)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 5 is 25 and the square root of 25 is ±5.
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 error.
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.
Solved Examples on Square of 1016
Problem 1
Find the length of a square, where the area of the square is 1032256 cm².
The area of a square = a² So, the area of a square = 1032256 cm² So, the length = √1032256 = 1016. The length of each side = 1016 cm
Explanation
The length of a square is 1016 cm. Because the area is 1032256 cm², the length is √1032256 = 1016.
Problem 2
Anna is planning to paint her square garden of length 1016 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full garden?
The length of the garden = 1016 feet
The cost to paint 1 square foot of the garden = 3 dollars.
To find the total cost to paint, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1016
Therefore, the area of the garden = 1016² = 1016 × 1016 = 1032256.
The cost to paint the garden = 1032256 × 3 = 3096768.
The total cost = 3096768 dollars
Explanation
To find the cost to paint the garden, we multiply the area of the garden by the cost to paint per foot. So, the total cost is 3096768 dollars.
Problem 3
Find the area of a circle whose radius is 1016 meters.
The area of the circle = 3,243,676.64 m²
Explanation
The area of a circle = πr²
Here, r = 1016
Therefore, the area of the circle = π × 1016²
= 3.14 × 1016 × 1016
= 3243676.64 m².
Problem 4
The area of a square is 1040400 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1040400 cm²
The length of the side is √1040400 = 1020
Perimeter of the square = 4a
Here, a = 1020
Therefore, the perimeter = 4 × 1020 = 4080.
Problem 5
Find the square of 38.
The square of 38 is 1444.
Explanation
The square of 38 is multiplying 38 by 38. So, the square = 38 × 38 = 1444.
FAQs on Square of 1016
1.What is the square of 1016?
2.What is the square root of 1016?
3.Is 1016 a prime number?
4.What are the first few multiples of 1016?
5.What is the square of 36?
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 1016?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1016?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 1016
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it equals 6².
- Exponent: An exponent refers to the number that indicates how many times to multiply the base by itself. For instance, in 1016², 2 is the exponent.
- Multiplication: A mathematical operation where a number is added to itself a certain number of times.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 37 is a prime number.
- Calculator: An electronic device or software used for performing mathematical calculations, such as finding squares quickly.
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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.
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