123 LearnersLast updated on May 27th, 2025
Square of 1989
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and more. In this topic, we will discuss the square of 1989.
What is the Square of 1989
The square of a number is the product of the number itself.
The square of 1989 is 1989 × 1989.
The square of a number can end in 0, 1, 4, 5, 6, or 9.
We write it in math as 1989², where 1989 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 1989 is 1989 × 1989 = 3,956,721.
Square of 1989 in exponential form: 1989²
Square of 1989 in arithmetic form: 1989 × 1989
How to Calculate the Value of Square of 1989
The square of a number is determined by multiplying the number by itself. Here are common methods used to find the square of a number:
- By Multiplication Method
- Using a Formula (a2)
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 1989.
Step 1: Identify the number. Here, the number is 1989.
Step 2: Multiplying the number by itself, we get, 1989 × 1989 = 3,956,721.
The square of 1989 is 3,956,721.
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 1989. So: 1989² = 1989 × 1989 = 3,956,721
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 1989.
Step 1: Enter the number in the calculator. Enter 1989 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1989 × 1989.
Step 3: Press the equal to button to find the answer. Here, the square of 1989 is 3,956,721.
Tips and Tricks for the Square of 1989
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 1989
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 a number is a². Instead, students might mistakenly use (1+9+8+9)² or (1900+89)². Students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion. To avoid this, students should understand that squaring and square roots are inverse operations. 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 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 1989
Problem 1
Find the length of the square, where the area of the square is 3,956,721 cm².
The area of a square = a²
So, the area of a square = 3,956,721 cm²
So, the length = √3,956,721 = 1989.
The length of each side = 1989 cm
Explanation
The length of a square is 1989 cm because the area is 3,956,721 cm², and the length is √3,956,721 = 1989.
Problem 2
Sarah is planning to tile her square floor, which has a length of 1989 feet. The cost to tile one square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 1989 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 1989
Therefore, the area of the floor = 1989² = 1989 × 1989 = 3,956,721.
The cost to tile the floor = 3,956,721 × 5 = 19,783,605.
The total cost = 19,783,605 dollars
Explanation
To find the cost to tile the floor, multiply the area of the floor by the cost to tile per foot.
So, the total cost is 19,783,605 dollars.
Problem 3
Find the area of a circle whose radius is 1989 meters.
The area of the circle = 12,432,720.66 m²
Explanation
The area of a circle = πr²
Here, r = 1989
Therefore, the area of the circle = π × 1989² = 3.14 × 1989 × 1989 = 12,432,720.66 m².
Problem 4
The area of the square is 3,956,721 cm². Find the perimeter of the square.
The perimeter of the square is 7,956 cm
Explanation
The area of the square = a²
Here, the area is 3,956,721 cm²
The length of the side is √3,956,721 = 1989
Perimeter of the square = 4a
Here, a = 1989
Therefore, the perimeter = 4 × 1989 = 7,956.
Problem 5
Find the square of 1990.
The square of 1990 is 3,960,100
Explanation
The square of 1990 is found by multiplying 1990 by 1990.
So, the square = 1990 × 1990 = 3,960,100.
FAQs on Square of 1989
1.What is the square of 1989?
2.What is the square root of 1989?
3.Is 1989 a prime number?
4.What are the first few multiples of 1989?
5.What is the square of 1991?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 1989?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 1989?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square of 1989.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of writing numbers using a base and an exponent, such as 10² where 10 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 is the square of an integer. For example, 36 is a perfect square because it is 6².
- Perimeter: The total distance around the edge of a two-dimensional shape. For a square, it is calculated as 4 times the side length.
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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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