121 LearnersLast updated on May 26th, 2025
Square of 350
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 350.
What is the Square of 350
The square of a number is the product of the number with itself. The square of 350 is 350 × 350. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 350², where 350 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 350 is 350 × 350 = 122500. Square of 350 in exponential form: 350² Square of 350 in arithmetic form: 350 × 350
How to Calculate the Value of Square of 350
The square of a number involves multiplying the number by itself. Let’s learn how to find the square of a number. These are 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 350. Step 1: Identify the number. Here, the number is 350. Step 2: Multiplying the number by itself, we get, 350 × 350 = 122500. The square of 350 is 122500.
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 350. So: 350² = 350 × 350 = 122500
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 350. Step 1: Enter the number in the calculator Enter 350 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 350 × 350 Step 3: Press the equal to button to find the answer Here, the square of 350 is 122500. Tips and Tricks for the Square of 350 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 350
Mistakes are common among kids when doing math, especially when it comes to 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 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 350² with (3 + 5 + 0)² or (300 + 50)². Students should check and use the correct formula and double-check the answers to avoid 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 this, students should understand 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 perform operations in the correct order to avoid mistakes.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
Solved Examples on Square of 350
Problem 1
Find the length of the square, where the area of the square is 122500 cm².
The area of a square = a² So, the area of a square = 122500 cm² So, the length = √122500 = 350. The length of each side = 350 cm
Explanation
The length of a square is 350 cm. Because the area is 122500 cm², the length is √122500 = 350.
Problem 2
Sarah is planning to tile her square patio of length 350 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full patio?
The length of the patio = 350 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 350 Therefore, the area of the patio = 350² = 350 × 350 = 122500. The cost to tile the patio = 122500 × 5 = 612500. The total cost = 612500 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 612500 dollars.
Problem 3
Find the area of a circle whose radius is 350 meters.
The area of the circle = 384845.5 m²
Explanation
The area of a circle = πr² Here, r = 350 Therefore, the area of the circle = π × 350² = 3.14 × 350 × 350 = 384845.5 m².
Problem 4
The area of the square is 122500 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a² Here, the area is 122500 cm² The length of the side is √122500 = 350 Perimeter of the square = 4a Here, a = 350 Therefore, the perimeter = 4 × 350 = 1400.
Problem 5
Find the square of 351.
The square of 351 is 123201
Explanation
The square of 351 is multiplying 351 by 351. So, the square = 351 × 351 = 123201
FAQs on Square of 350
1.What is the square of 350?
2.What is the square root of 350?
3.Is 350 a prime number?
4.What are the first few multiples of 350?
5.What is the square of 349?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 350?
8.How do technology and digital tools in Australia support learning Algebra and Square of 350?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 350.
Perfect square: A number that is the square of an integer. For example, 122500 is a perfect square because it is 350². Exponent: The power to which a number is raised. For example, in 350², 2 is the exponent. Square root: The number which produces a specified number when multiplied by itself. For example, the square root of 122500 is 350. Multiplication: The process of combining quantities. In the context of squaring, it is the process of multiplying a number by itself. Circle area: The area enclosed by a circle, calculated by πr² where r is the radius.
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Jaskaran Singh Saluja
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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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