117 LearnersLast updated on May 26th, 2025
Square of 367
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 367.
What is the Square of 367
The square of a number is the product of the number itself. The square of 367 is 367 × 367. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 367², where 367 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 367 is 367 × 367 = 134689. Square of 367 in exponential form: 367² Square of 367 in arithmetic form: 367 × 367
How to Calculate the Value of Square of 367
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 367 Step 1: Identify the number. Here, the number is 367 Step 2: Multiplying the number by itself, we get, 367 × 367 = 134689. The square of 367 is 134689.
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 367 So: 367² = 367 × 367 = 134689
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 367. Step 1: Enter the number in the calculator Enter 367 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 367 × 367 Step 3: Press the equal to button to find the answer Here, the square of 367 is 134689. Tips and Tricks for the Square of 367 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 367
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 swap 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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 367² with (3+6+7)² or (300+60+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 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 367
Problem 1
A square garden has an area of 134689 m². What is the length of each side of the garden?
The area of a square = a² So, the area of a square = 134689 m² So, the length = √134689 = 367. The length of each side = 367 m
Explanation
The length of a square garden is 367 m. Because the area is 134689 m², the length is √134689 = 367.
Problem 2
Sarah is tiling her square kitchen floor, which has a length of 367 inches. If each tile costs 2 dollars, how much will it cost to tile the entire floor?
The length of the floor = 367 inches The cost to tile 1 square inch of the floor = 2 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 = 367 Therefore, the area of the floor = 367² = 367 × 367 = 134689. The cost to tile the floor = 134689 × 2 = 269378. The total cost = 269378 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per inch. So, the total cost is 269378 dollars.
Problem 3
Find the area of a circle whose radius is 367 meters.
The area of the circle = 423879.86 m²
Explanation
The area of a circle = πr² Here, r = 367 Therefore, the area of the circle = π × 367² = 3.14 × 367 × 367 = 423879.86 m².
Problem 4
The area of a square is 134689 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a² Here, the area is 134689 cm² The length of the side is √134689 = 367 Perimeter of the square = 4a Here, a = 367 Therefore, the perimeter = 4 × 367 = 1468.
Problem 5
Find the square of 368.
The square of 368 is 135424.
Explanation
The square of 368 is multiplying 368 by 368. So, the square = 368 × 368 = 135424
FAQs on Square of 367
1.What is the square of 367?
2.What is the square root of 367?
3.Is 367 a prime number?
4.What are the first few multiples of 367?
5.What is the square of 366?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 367?
8.How do technology and digital tools in Canada support learning Algebra and Square of 367?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square 367.
Prime number: A number that is only divisible by 1 and itself. For example, 367. Exponential form: The way of writing a number in the form of a power. For example, 367² where 367 is the base and 2 is the power. Square root: The inverse operation of the square. The square root of a number is a number whose square is the original number. Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12². Area: The measure of space inside a two-dimensional shape, such as a square or circle.
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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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