127 LearnersLast updated on May 26th, 2025
Square of 877
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 877.
What is the Square of 877
The square of a number is the product of the number itself. The square of 877 is 877 × 877. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 877², where 877 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 877 is 877 × 877 = 769129.
Square of 877 in exponential form: 877²
Square of 877 in arithmetic form: 877 × 877
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How to Calculate the Value of Square of 877
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 877.
Step 1: Identify the number. Here, the number is 877.
Step 2: Multiplying the number by itself, we get, 877 × 877 = 769129.
The square of 877 is 769129.
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 877. So: 877² = 877 × 877 = 769129
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 877.
Step 1: Enter the number in the calculator Enter 877 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 877 × 877
Step 3: Press the equal to button to find the answer Here, the square of 877 is 769129.
Tips and Tricks for the Square of 877
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.
- 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 877
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 877² with (8+7+7)² or (800+70+7)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.
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Solved Examples on Square of 877
Problem 1
Find the length of the square, where the area of the square is 769129 cm².
The area of a square = a²
So, the area of a square = 769129 cm²
So, the length = √769129 = 877.
The length of each side = 877 cm
Explanation
The length of a square is 877 cm.
Because the area is 769129 cm² the length is √769129 = 877.
Problem 2
Alex wants to tile his square courtyard of length 877 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full courtyard?
The length of the courtyard = 877 feet
The cost to tile 1 square foot of courtyard = is 5 dollars.
To find the total cost to tile, we find the area of the courtyard,
Area of the courtyard = area of the square = a²
Here a = 877
Therefore, the area of the courtyard = 877² = 877 × 877 = 769129.
The cost to tile the courtyard = 769129 × 5 = 3845645.
The total cost = 3845645 dollars
Explanation
To find the cost to tile the courtyard, we multiply the area of the courtyard by the cost to tile per foot. So, the total cost is 3845645 dollars.
Problem 3
Find the area of a circle whose radius is 877 meters.
The area of the circle = 2,414,172.49 m²
Explanation
The area of a circle = πr²
Here, r = 877
Therefore, the area of the circle = π × 877² = 3.14 × 877 × 877 = 2,414,172.49 m².
Problem 4
The area of the square is 769129 cm². Find the perimeter of the square.
The perimeter of the square is 3508 cm.
Explanation
The area of the square = a²
Here, the area is 769129 cm²
The length of the side is √769129 = 877
Perimeter of the square = 4a
Here, a = 877
Therefore, the perimeter = 4 × 877 = 3508.
Problem 5
Find the square of 878.
The square of 878 is 771684.
Explanation
The square of 878 is multiplying 878 by 878. So, the square = 878 × 878 = 771684.
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FAQs on Square of 877
1.What is the square of 877?
2.What is the square root of 877?
3.Is 877 a prime number?
4.What are the first few multiples of 877?
5.What is the square of 876?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 877?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 877?
9.Does learning Algebra support future career opportunities for students in Vietnam?
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Important Glossaries for Square of 877.
- Prime number: A number that is only divisible by 1 and itself. For example, 877 is a prime number.
- Exponential form: A method of expressing numbers as a base raised to a power. For example, 877² where 877 is the base.
- Square: The result of multiplying a number by itself. For example, the square of 877 is 769129.
- Calculator: An electronic device used for performing mathematical calculations.
- Formula: A mathematical relationship or rule expressed in symbols. For example, a² = a × a is used to calculate the square of a 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.
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