128 LearnersLast updated on May 26th, 2025
Square of 371
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 371.
What is the Square of 371
The square of a number is the product of the number with itself. The square of 371 is 371 × 371. The square of a number often ends in 0, 1, 4, 5, 6, or 9. In mathematics, we write it as 371², where 371 is the base and 2 is the exponent. The square of both positive and negative numbers is always positive. For example, 5² = 25; (-5)² = 25. The square of 371 is 371 × 371 = 137,641. Square of 371 in exponential form: 371² Square of 371 in arithmetic form: 371 × 371
How to Calculate the Value of Square of 371
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number. Here are common methods to find the square of a number: 1. By Multiplication Method 2. Using a Formula 3. Using a Calculator
By the Multiplication Method
In this method, multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 371. Step 1: Identify the number. Here, the number is 371. Step 2: Multiply the number by itself: 371 × 371 = 137,641. The square of 371 is 137,641.
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: Understand the equation. Square of a number = a² a² = a × a Step 2: Identify the number and substitute it into the equation. Here, ‘a’ is 371. So: 371² = 371 × 371 = 137,641
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 371. Step 1: Enter the number into the calculator. Enter 371 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 371 × 371. Step 3: Press the equal button to find the answer. Here, the square of 371 is 137,641. Tips and Tricks for the Square of 371 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 371
Mistakes are common among children 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 this, students should double-check their answers. They can verify by finding the square root of their solution. For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors while using the formula.
The formula to find the square of a number is a². Instead, students may mistakenly use (3 + 7)² or (30 + 7)² for 371². Students should use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of squares and square roots can lead to confusion. To avoid this, students should understand that squaring and square rooting are inverse operations. For example, 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. Students should understand how to use parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master squaring a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 371
Problem 1
Find the length of a square where the area is 137,641 cm².
The area of a square = a². So, the area = 137,641 cm². Thus, the length = √137,641 = 371. The length of each side = 371 cm.
Explanation
The length of the square is 371 cm because the area is 137,641 cm², so the length is √137,641 = 371.
Problem 2
Sarah wants to cover her square garden with tiles. The length of each side is 371 meters. Each square meter of tile costs 4 dollars. How much will it cost to tile the entire garden?
The length of the garden = 371 meters. The cost to tile 1 square meter = 4 dollars. To find the total cost to tile, we find the area of the garden. Area of the garden = a². Here a = 371. Therefore, the area of the garden = 371² = 371 × 371 = 137,641. The cost to tile the garden = 137,641 × 4 = 550,564. The total cost = 550,564 dollars.
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per square meter. So, the total cost is 550,564 dollars.
Problem 3
Find the area of a circle whose diameter is 742 meters.
The area of the circle = 431,999.94 m²
Explanation
The area of a circle = πr². Here, the diameter is 742, so the radius r = 742/2 = 371. Therefore, the area of the circle = π × 371² = 3.14 × 371 × 371 = 431,999.94 m².
Problem 4
The area of a square is 137,641 cm². Find the perimeter of the square.
The perimeter of the square is 1,484 cm.
Explanation
The area of the square = a². Here, the area is 137,641 cm². The length of the side is √137,641 = 371. Perimeter of the square = 4a. Here, a = 371. Therefore, the perimeter = 4 × 371 = 1,484.
Problem 5
Find the square of 372.
The square of 372 is 138,384.
Explanation
The square of 372 is multiplying 372 by itself. So, the square = 372 × 372 = 138,384.
FAQs on Square of 371
1.What is the square of 371?
2.What is the square root of 371?
3.Is 371 a prime number?
4.What are the first few multiples of 371?
5.What is the square of 370?
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 371?
8.How do technology and digital tools in Canada support learning Algebra and Square of 371?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square of 371
1. Prime number: A number that is only divisible by 1 and itself. 2. Exponential form: Writing a number as a base raised to a power, like 371², where 371 is the base and 2 is the exponent. 3. Square root: The inverse operation of squaring; a number that when multiplied by itself gives the original number. 4. Perfect square: A number that is the square of an integer. 5. Multiples: Numbers obtained by multiplying a given number by integers.
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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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