127 LearnersLast updated on May 27th, 2025
Square of 1071
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In the topic, we will discuss the square of 1071.
What is the Square of 1071
The square of a number is the product of the number itself.
The square of 1071 is 1071 × 1071.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1071², where 1071 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 1071 is 1071 × 1071 = 1,147,041.
Square of 1071 in exponential form: 1071²
Square of 1071 in arithmetic form: 1071 × 1071
How to Calculate the Value of the Square of 1071
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 (a2)
- 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 1071.
Step 1: Identify the number. Here, the number is 1071.
Step 2: Multiplying the number by itself, we get, 1071 × 1071 = 1,147,041.
The square of 1071 is 1,147,041.
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 1071. So: 1071² = 1071 × 1071 = 1,147,041
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 1071.
Step 1: Enter the number in the calculator Enter 1071 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1071 × 1071
Step 3: Press the equal to button to find the answer Here, the square of 1071 is 1,147,041.
Tips and Tricks for the Square of 1071
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 1071
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 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 1071² with (1 + 0 + 7 + 1)² or (1000 + 70 + 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 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 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.
Solved Examples on Square of 1071
Problem 1
Find the length of the square, where the area of the square is 1,147,041 cm².
The area of a square = a²
So, the area of a square = 1,147,041 cm²
So, the length = √1,147,041 = 1071.
The length of each side = 1071 cm
Explanation
The length of a square is 1071 cm.
Because the area is 1,147,041 cm², the length is √1,147,041 = 1071.
Problem 2
Alice is planning to plant grass in her square garden of length 1071 feet. The cost to plant grass per square foot is 2 dollars. Then how much will it cost to plant grass in the full garden?
The length of the garden = 1071 feet
The cost to plant grass per square foot of garden = 2 dollars.
To find the total cost to plant grass, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1071
Therefore, the area of the garden = 1071² = 1071 × 1071 = 1,147,041.
The cost to plant grass in the garden = 1,147,041 × 2 = 2,294,082.
The total cost = 2,294,082 dollars
Explanation
To find the cost to plant grass, we multiply the area of the garden by the cost to plant per square foot.
So, the total cost is 2,294,082 dollars.
Problem 3
Find the area of a circle whose radius is 1071 meters.
The area of the circle = 3,603,936.94 m²
Explanation
The area of a circle = πr²
Here, r = 1071
Therefore, the area of the circle = π × 1071² = 3.14 × 1071 × 1071 = 3,603,936.94 m².
Problem 4
The area of the square is 1,147,041 cm². Find the perimeter of the square.
The perimeter of the square is 4284 cm
Explanation
The area of the square = a²
Here, the area is 1,147,041 cm²
The length of the side is √1,147,041 = 1071
Perimeter of the square = 4a
Here, a = 1071
Therefore, the perimeter = 4 × 1071 = 4284 cm.
Problem 5
Find the square of 1072.
The square of 1072 is 1,149,184
Explanation
The square of 1072 is multiplying 1072 by 1072.
So, the square = 1072 × 1072 = 1,149,184
FAQs on Square of 1071
1.What is the square of 1071?
2.What is the square root of 1071?
3.Is 1071 a prime number?
4.What are the first few multiples of 1071?
5.What is the square of 1070?
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 1071?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1071?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square of 1071.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: A number that shows how many times the base is multiplied by itself. For example, in 1071², 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 number whose square is the number itself.
- Multiplication: The mathematical operation of scaling one number by another. It is used to find the square of a number by multiplying the number by itself.
- Perimeter: The total length of the boundaries of a shape. For a square, it is calculated as 4 times the length of its side.
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Jaskaran Singh Saluja
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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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