116 LearnersLast updated on May 26th, 2025
Square of 981
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 981.
What is the Square of 981
The square of a number is the product of the number itself. The square of 981 is 981 × 981. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 981², where 981 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 981 is 981 × 981 = 962,361.
Square of 981 in exponential form: 981²
Square of 981 in arithmetic form: 981 × 981
How to Calculate the Value of Square of 981
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 981
Step 1: Identify the number. Here, the number is 981
Step 2: Multiplying the number by itself, we get, 981 × 981 = 962,361.
The square of 981 is 962,361.
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 981
So: 981² = 981 × 981 = 962,361
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 981.
Step 1: Enter the number in the calculator Enter 981 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 981 × 981
Step 3: Press the equal to button to find the answer Here, the square of 981 is 962,361.
Tips and Tricks for the Square of 981
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 981
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 981² with (9+8+1)² or (900+80+1)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 981
Problem 1
Find the length of the square, where the area of the square is 962,361 cm².
The area of a square = a²
So, the area of a square = 962,361 cm²
So, the length = √962,361 = 981.
The length of each side = 981 cm
Explanation
The length of a square is 981 cm. Because the area is 962,361 cm², the length is √962,361 = 981.
Problem 2
Sarah is designing a square garden of length 981 feet. The cost to plant flowers per square foot is 5 dollars. Then how much will it cost to plant the full garden?
The length of the garden = 981 feet
The cost to plant 1 square foot of garden = 5 dollars.
To find the total cost to plant, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 981
Therefore, the area of the garden = 981² = 981 × 981 = 962,361.
The cost to plant the garden = 962,361 × 5 = 4,811,805.
The total cost = 4,811,805 dollars
Explanation
To find the cost to plant the garden, we multiply the area of the garden by the cost to plant per foot. So, the total cost is 4,811,805 dollars.
Problem 3
Find the area of a circle whose radius is 981 meters.
The area of the circle = 3,023,274.74 m²
Explanation
The area of a circle = πr²
Here, r = 981
Therefore, the area of the circle = π × 981²
= 3.14 × 981 × 981
= 3,023,274.74 m².
Problem 4
The area of the square is 962,361 cm². Find the perimeter of the square.
The perimeter of the square is 3,924 cm.
Explanation
The area of the square = a²
Here, the area is 962,361 cm²
The length of the side is √962,361 = 981
Perimeter of the square = 4a
Here, a = 981
Therefore, the perimeter = 4 × 981 = 3,924.
Problem 5
Find the square of 982.
The square of 982 is 964,324.
Explanation
The square of 982 is multiplying 982 by 982. So, the square = 982 × 982 = 964,324
FAQs on Square of 981
1.What is the square of 981?
2.What is the square root of 981?
3.Is 981 a prime number?
4.What is the square of 980?
5.What is the square of 982?
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 981?
8.How do technology and digital tools in Canada support learning Algebra and Square of 981?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square 981.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: A number that indicates how many times the base is multiplied by itself. For example, in 981², 2 is the exponent.
- Odd number: A number that is not divisible by 2. For example, 1, 3, 5, 7, 9, etc.
- Even number: A number that is divisible by 2. For example, 2, 4, 6, 8, 10, etc.
- Square root: The inverse operation of squaring a number, resulting in a value that, when multiplied by itself, gives the original number.
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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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