129 LearnersLast updated on May 26th, 2025
Square of 89
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 89.
What is the Square of 89
The square of a number is the product of the number itself. The square of 89 is 89 × 89. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 89², where 89 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 89 is 89 × 89 = 7921. Square of 89 in exponential form: 89² Square of 89 in arithmetic form: 89 × 89
How to Calculate the Value of Square of 89
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 89. Step 1: Identify the number. Here, the number is 89. Step 2: Multiplying the number by itself, we get, 89 × 89 = 7921. The square of 89 is 7921.
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 89. So: 89² = 89 × 89 = 7921
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 89. Step 1: Enter the number in the calculator Enter 89 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 89 × 89 Step 3: Press the equal to button to find the answer Here, the square of 89 is 7921. Tips and Tricks for the Square of 89 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, √2 = 1.414 - 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 89
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 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 89² with (8+9)² or (80+9)². So students should check and use the correct formula and double-check the answers to avoid all confusion.
Mistake 3
Confusing the square and the square root.
Not understanding the concept of the 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 perform 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 practice regularly to avoid errors.
Solved Examples on Square of 89
Problem 1
Find the length of a square where the area of the square is 7921 cm².
The area of a square = a² So, the area of a square = 7921 cm² So, the length = √7921 = 89. The length of each side = 89 cm
Explanation
The length of a square is 89 cm. Because the area is 7921 cm², the length is √7921 = 89.
Problem 2
Sarah is planning to fence her square garden of length 89 meters. The cost to fence a meter is 5 dollars. How much will it cost to fence the entire garden?
The length of the garden = 89 meters The cost to fence 1 meter of the garden = 5 dollars. To find the total cost to fence, we find the perimeter of the garden, Perimeter of the garden = 4a Here a = 89 Therefore, the perimeter of the garden = 4 × 89 = 356. The cost to fence the garden = 356 × 5 = 1780. The total cost = 1780 dollars
Explanation
To find the cost to fence the garden, we multiply the perimeter of the garden by the cost to fence per meter. So, the total cost is 1780 dollars.
Problem 3
Find the area of a circle whose radius is 89 meters.
The area of the circle = 24,891.06 m²
Explanation
The area of a circle = πr² Here, r = 89 Therefore, the area of the circle = π × 89² = 3.14 × 89 × 89 = 24891.06 m².
Problem 4
The area of a square is 7921 cm². Find the perimeter of the square.
The perimeter of the square is 356 cm.
Explanation
The area of the square = a² Here, the area is 7921 cm² The length of the side is √7921 = 89 Perimeter of the square = 4a Here, a = 89 Therefore, the perimeter = 4 × 89 = 356.
Problem 5
Find the square of 90.
The square of 90 is 8100.
Explanation
The square of 90 is multiplying 90 by 90. So, the square = 90 × 90 = 8100.
FAQs on Square of 89
1.What is the square of 89?
2.What is the square root of 89?
3.Is 89 a prime number?
4.What are the first few multiples of 89?
5.What is the square of 88?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 89?
8.How do technology and digital tools in Thailand support learning Algebra and Square of 89?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Square of 89.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, 13, etc. - Exponential form: A way of writing numbers using a base and an exponent, such as 89², where 89 is the base and 2 is the exponent. - Square root: The inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the original number. - Perfect square: A number that has an integer as its square root. For example, 25 is a perfect square because its square root is 5. - Perimeter: The total length of the sides or edges of a geometric figure, such as a square or rectangle.
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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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
