125 LearnersLast updated on May 26th, 2025
Square of 875
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 875.
What is the Square of 875
The square of a number is the product of the number itself. The square of 875 is 875 × 875. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 875², where 875 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 875 is 875 × 875 = 765625.
Square of 875 in exponential form: 875²
Square of 875 in arithmetic form: 875 × 875
How to Calculate the Value of the Square of 875
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 875.
Step 1: Identify the number. Here, the number is 875.
Step 2: Multiplying the number by itself, we get, 875 × 875 = 765625.
The square of 875 is 765625.
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 875. So: 875² = 875 × 875 = 765625
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 875.
Step 1: Enter the number in the calculator Enter 875 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 875 × 875
Step 3: Press the equal to button to find the answer Here, the square of 875 is 765625.
Tips and Tricks for the Square of 875
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 875
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.
Solved Examples on Square of 875
Problem 1
Find the length of a square, where the area of the square is 765625 cm².
The area of a square = a²
So, the area of a square = 765625 cm²
So, the length = √765625 = 875.
The length of each side = 875 cm
Explanation
The length of a square is 875 cm.
Because the area is 765625 cm², the length is √765625 = 875.
Problem 2
Sarah wants to cover her square garden, which is 875 feet on each side, with grass. The cost to cover one square foot is 2 dollars. How much will it cost to cover the full garden?
The length of the garden = 875 feet
The cost to cover 1 square foot of the garden = 2 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 = 875
Therefore, the area of the garden = 875² = 875 × 875 = 765625.
The cost to cover the garden = 765625 × 2 = 1531250.
The total cost = 1531250 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 1531250 dollars.
Problem 3
Find the area of a circle whose radius is 875 meters.
The area of the circle = 2,405,890.625 m²
Explanation
The area of a circle = πr²
Here, r = 875
Therefore, the area of the circle = π × 875² = 3.14 × 875 × 875 = 2405890.625 m².
Problem 4
The area of the square is 765625 cm². Find the perimeter of the square.
The perimeter of the square is 3500 cm.
Explanation
The area of the square = a²
Here, the area is 765625 cm²
The length of the side is √765625 = 875
Perimeter of the square = 4a
Here, a = 875
Therefore, the perimeter = 4 × 875 = 3500 cm.
Problem 5
Find the square of 876.
The square of 876 is 767376.
Explanation
The square of 876 is multiplying 876 by 876.
So, the square = 876 × 876 = 767376.
FAQs on Square of 875
1.What is the square of 875?
2.What is the square root of 875?
3.Is 875 a perfect square?
4.What is the square of 874?
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 875?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 875?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 875.
- Perfect square: A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 8², 2 is the exponent.
- Area: The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle.
- Square root: The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication: The arithmetic operation of combining groups of equal sizes; one of the four basic operations in arithmetic.
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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.
