110 LearnersLast updated on May 26th, 2025
Square of 370
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 370.
What is the Square of 370
The square of a number is the product of the number itself. The square of 370 is 370 × 370. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 370², where 370 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 370 is 370 × 370 = 136,900. Square of 370 in exponential form: 370² Square of 370 in arithmetic form: 370 × 370
How to Calculate the Value of the Square of 370
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 370 Step 1: Identify the number. Here, the number is 370 Step 2: Multiplying the number by itself, we get, 370 × 370 = 136,900. The square of 370 is 136,900.
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 370 So: 370² = 370 × 370 = 136,900
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 370. Step 1: Enter the number in the calculator Enter 370 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 370 × 370 Step 3: Press the equal to button to find the answer Here, the square of 370 is 136,900. Tips and Tricks for the Square of 370 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 370
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 using the formula.
The formula to find the square of the number is a². Instead, students may use 370² with (3 + 7 + 0)² or (300 + 70)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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.
Solved Examples on Square of 370
Problem 1
Find the length of the square, where the area of the square is 136,900 cm².
The area of a square = a² So, the area of a square = 136,900 cm² So, the length = √136,900 = 370. The length of each side = 370 cm
Explanation
The length of a square is 370 cm. Because the area is 136,900 cm² the length is √136,900 = 370.
Problem 2
Lisa is planning to paint her square garden wall of length 370 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 370 feet The cost to paint 1 square foot of the wall = 2 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 370 Therefore, the area of the wall = 370² = 370 × 370 = 136,900. The cost to paint the wall = 136,900 × 2 = 273,800. The total cost = 273,800 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot. So, the total cost is 273,800 dollars.
Problem 3
Find the area of a circle whose radius is 370 meters.
The area of the circle = 430,066.6 m²
Explanation
The area of a circle = πr² Here, r = 370 Therefore, the area of the circle = π × 370² = 3.14 × 370 × 370 = 430,066.6 m².
Problem 4
The area of the square is 139,600 cm². Find the perimeter of the square.
The perimeter of the square is 1,480 cm.
Explanation
The area of the square = a² Here, the area is 139,600 cm² The length of the side is √139,600 = 374 Perimeter of the square = 4a Here, a = 374 Therefore, the perimeter = 4 × 374 = 1,496.
Problem 5
Find the square of 371.
The square of 371 is 137,641
Explanation
The square of 371 is multiplying 371 by 371. So, the square = 371 × 371 = 137,641
FAQs on Square of 370
1.What is the square of 370?
2.What is the square root of 370?
3.Is 370 a perfect square?
4.What are the first few multiples of 370?
5.What is the square of 369?
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 370?
8.How do technology and digital tools in Canada support learning Algebra and Square of 370?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square 370.
Perfect square: A number that is the square of an integer. For example, 4, 9, 16, 25, etc. Exponential form: The way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power. 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 method: A technique used to find the square of a number by multiplying the number by itself. Perimeter: The total length of the edges of a geometric figure. For a square, it is four times the length of one side.
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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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