125 LearnersLast updated on May 27th, 2025
Square of 1077
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 1077.
What is the Square of 1077
The square of a number is the product of the number and itself.
The square of 1077 is 1077 × 1077.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1077², where 1077 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 1077 is 1077 × 1077 = 1,160,529.
Square of 1077 in exponential form: 1077²
Square of 1077 in arithmetic form: 1077 × 1077
How to Calculate the Value of Square of 1077
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1077.
Step 1: Identify the number. Here, the number is 1077.
Step 2: Multiply the number by itself, we get, 1077 × 1077 = 1,160,529.
The square of 1077 is 1,160,529.
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 1077. So: 1077² = 1077 × 1077 = 1,160,529
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 1077.
Step 1: Enter the number in the calculator Enter 1077 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1077 × 1077
Step 3: Press the equal sign to find the answer Here, the square of 1077 is 1,160,529.
Tips and Tricks for the Square of 1077
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 1077
Mistakes are common among students when doing math, especially when 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 steps or swap 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 1077² incorrectly as (1+0+7+7)² or (1000+77)². So students should check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square and square root
Not understanding the concept of a square and square root can lead to confusion. To avoid it, students should understand 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 parentheses when finding the square of a number can lead to errors. So students should understand parentheses and perform 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 practice regularly to avoid errors.
Solved Examples on Square of 1077
Problem 1
Find the length of a square where the area of the square is 1,160,529 cm².
The area of a square = a²
So, the area of a square = 1,160,529 cm²
So, the length = √1,160,529 = 1077.
The length of each side = 1077 cm
Explanation
The length of a square is 1077 cm.
Because the area is 1,160,529 cm², the length is √1,160,529 = 1077.
Problem 2
Emma is planning to tile her square floor with tiles of length 1077 inches. The cost of one tile is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 1077 inches
The cost of 1 tile = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 1077
Therefore, the area of the floor = 1077² = 1077 × 1077 = 1,160,529.
The cost to tile the floor = 1,160,529 × 5 = 5,802,645.
The total cost = 5,802,645 dollars.
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost of one tile.
So, the total cost is 5,802,645 dollars.
Problem 3
Find the area of a circle whose radius is 1077 meters.
The area of the circle = 3,642,032.46 m²
Explanation
The area of a circle = πr²
Here, r = 1077
Therefore, the area of the circle = π × 1077² = 3.14 × 1077 × 1077 = 3,642,032.46 m².
Problem 4
The area of a square is 1,160,529 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,160,529 cm²
The length of the side is √1,160,529 = 1077
Perimeter of the square = 4a
Here, a = 1077
Therefore, the perimeter = 4 × 1077 = 4308.
Problem 5
Find the square of 1080.
The square of 1080 is 1,166,400.
Explanation
The square of 1080 is multiplying 1080 by 1080.
So, the square = 1080 × 1080 = 1,166,400.
FAQs on Square of 1077
1.What is the square of 1077?
2.What is the square root of 1077?
3.Is 1077 a prime number?
4.What are the first few multiples of 1077?
5.What is the square of 1078?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 1077?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 1077?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 1077.
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Square Root: The square root of a number is a value that, when multiplied by itself, gives the number. For example, the square root of 25 is 5.
- Multiplication: An arithmetic operation used to find the total of adding a number to itself a certain number of times.
- Exponent: A number that shows how many times a base is to be multiplied by itself.
- Formula: A mathematical relationship or rule expressed in symbols. For example, a² for the square of a number.
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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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