123 LearnersLast updated on May 26th, 2025
Square of 867
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 this topic, we will discuss the square of 867.
What is the Square of 867
The square of a number is the product of the number itself. The square of 867 is 867 × 867. The square of a number can end in various digits. We write it in math as 867², where 867 is the base and 2 is the exponent. The square of both positive and negative numbers is always positive. For example, 5² = 25; -5² = 25.
The square of 867 is 867 × 867 = 751,689.
Square of 867 in exponential form: 867²
Square of 867 in arithmetic form: 867 × 867
How to Calculate the Value of Square of 867
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 867.
Step 1: Identify the number. Here, the number is 867.
Step 2: Multiplying the number by itself, we get, 867 × 867 = 751,689.
The square of 867 is 751,689.
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 867. So: 867² = 867 × 867 = 751,689.
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 867.
Step 1: Enter the number in the calculator. Enter 867 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 867 × 867.
Step 3: Press the equal button to find the answer. Here, the square of 867 is 751,689.
Tips and Tricks for the Square of 867
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 can vary.
- 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 867
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 867
Problem 1
Find the length of the square, where the area of the square is 751,689 cm².
The area of a square = a²
So, the area of a square = 751,689 cm²
So, the length = √751,689 = 867.
The length of each side = 867 cm.
Explanation
The length of a square is 867 cm.
Because the area is 751,689 cm², the length is √751,689 = 867.
Problem 2
Sarah is planning to tile her square floor with a length of 867 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 867 feet
The cost to tile 1 square foot of floor = 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 = 867
Therefore, the area of the floor = 867² = 867 × 867 = 751,689.
The cost to tile the floor = 751,689 × 5 = 3,758,445.
The total cost = 3,758,445 dollars.
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 3,758,445 dollars.
Problem 3
Find the area of a circle whose radius is 867 meters.
The area of the circle = 2,362,385.06 m²
Explanation
The area of a circle = πr²
Here, r = 867
Therefore, the area of the circle = π × 867² = 3.14 × 867 × 867 = 2,362,385.06 m².
Problem 4
The area of the square is 751,689 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 751,689 cm²
The length of the side is √751,689 = 867
Perimeter of the square = 4a
Here, a = 867
Therefore, the perimeter = 4 × 867 = 3,468.
Problem 5
Find the square of 868.
The square of 868 is 753,424
Explanation
The square of 868 is multiplying 868 by 868. So, the square = 868 × 868 = 753,424
FAQs on Square of 867
1.What is the square of 867?
2.What is the square root of 867?
3.Is 867 a prime number?
4.What are the first few multiples of 867?
5.What is the square of 866?
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 867?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 867?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 867
- Perfect square: A perfect square is a number that is the square of an integer.
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 867², 2 is the exponent.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Multiplication: A mathematical operation where a number is added to itself a certain number of times.
- Prime number: A number that is only divisible by 1 and itself, having exactly two distinct positive divisors.
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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.
