132 LearnersLast updated on May 29th, 2025
Square of 28900
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 28900.
What is the Square of 28900
The square of a number is the product of the number itself.
The square of 28900 is 28900 × 28900.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 28900², where 28900 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 28900 is 28900 × 28900 = 835210000.
Square of 28900 in exponential form: 28900²
Square of 28900 in arithmetic form: 28900 × 28900
How to Calculate the Value of Square of 28900
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 28900.
Step 1: Identify the number. Here, the number is 28900.
Step 2: Multiply the number by itself, we get, 28900 × 28900 = 835210000.
The square of 28900 is 835210000.
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 28900.
So: 28900² = 28900 × 28900 = 835210000
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 28900.
Step 1: Enter the number in the calculator Enter 28900 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 28900 × 28900
Step 3: Press the equals button to find the answer Here, the square of 28900 is 835210000.
Tips and Tricks for the Square of 28900
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 28900
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 this, 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 28900² with (28000 + 900)² or similar incorrect expressions. 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. To avoid it, 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. Students should understand parentheses and perform operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 28900
Problem 1
Find the length of the square, where the area of the square is 835210000 cm².
The area of a square = a² So, the area of a square = 835210000 cm² So, the length = √835210000 = 28900. The length of each side = 28900 cm
Explanation
The length of a square is 28900 cm because the area is 835210000 cm².
The length is √835210000 = 28900.
Problem 2
Sarah wants to tile her square garden of side 28900 meters. The cost to tile a square meter is 5 dollars. How much will it cost to tile the entire garden?
The length of the garden = 28900 meters The cost to tile 1 square meter = 5 dollars. To find the total cost to tile, we find the area of the garden, Area of the garden = area of the square = a² Here a = 28900 Therefore, the area of the garden = 28900² = 28900 × 28900 = 835210000. The cost to tile the garden = 835210000 × 5 = 4176050000. The total cost = 4176050000 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 4176050000 dollars.
Problem 3
Find the area of a circle whose radius is 28900 meters.
The area of the circle = 2624661900 m²
Explanation
The area of a circle = πr²
Here, r = 28900
Therefore, the area of the circle = π × 28900² = 3.14 × 28900 × 28900 = 2624661900 m².
Problem 4
The area of the square is 835210000 cm². Find the perimeter of the square.
The perimeter of the square is 115600 cm
Explanation
The area of the square = a²
Here, the area is 835210000 cm²
The length of the side is √835210000 = 28900
Perimeter of the square = 4a
Here, a = 28900
Therefore, the perimeter = 4 × 28900 = 115600 cm.
Problem 5
Find the square of 29000.
The square of 29000 is 841000000
Explanation
The square of 29000 is multiplying 29000 by 29000.
So, the square = 29000 × 29000 = 841000000
FAQs on Square of 28900
1.What is the square of 28900?
2.What is the square root of 28900?
3.Is 28900 a perfect square?
4.What are the first few multiples of 28900?
5.What is the square of 28800?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 28900?
8.How do technology and digital tools in United States support learning Algebra and Square of 28900?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 28900
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, etc.
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 5², 2 is the exponent.
- Square root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Multiplication method: A method of finding the square of a number by multiplying the number by itself.
- Perimeter: The total distance around the edge of a geometric figure, such as a square.
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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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