123 LearnersLast updated on May 26th, 2025
Square of 973
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 973.
What is the Square of 973
The square of a number is the product of the number with itself. The square of 973 is 973 × 973. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 973², where 973 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 973 is 973 × 973 = 946,729.
Square of 973 in exponential form: 973²
Square of 973 in arithmetic form: 973 × 973
How to Calculate the Value of Square of 973
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 973.
Step 1: Identify the number. Here, the number is 973.
Step 2: Multiplying the number by itself, we get, 973 × 973 = 946,729.
The square of 973 is 946,729.
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 973. So: 973² = 973 × 973 = 946,729
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 973.
Step 1: Enter the number in the calculator Enter 973 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 973 × 973.
Step 3: Press the equal to button to find the answer Here, the square of 973 is 946,729.
Tips and Tricks for the Square of 973
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 973
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 973² with (9 + 7 + 3)² or (900 + 70 + 3)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square with 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 errors.
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 973
Problem 1
Find the length of the square, where the area of the square is 946,729 cm².
The area of a square = a²
So, the area of a square = 946,729 cm²
So, the length = √946,729 = 973.
The length of each side = 973 cm
Explanation
The length of a square is 973 cm.
Because the area is 946,729 cm², the length is √946,729 = 973.
Problem 2
Sarah is planning to tile her square garden with sides of length 973 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire garden?
The length of the garden = 973 feet
The cost to tile 1 square foot of garden = 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 = 973
Therefore, the area of the garden = 973² = 973 × 973 = 946,729.
The cost to tile the garden = 946,729 × 5 = 4,733,645.
The total cost = 4,733,645 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 4,733,645 dollars.
Problem 3
Find the area of a circle whose radius is 973 meters.
The area of the circle = 2,973,082.46 m²
Explanation
The area of a circle = πr²
Here, r = 973
Therefore, the area of the circle = π × 973² = 3.14 × 973 × 973 = 2,973,082.46 m².
Problem 4
The area of the square is 946,729 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 946,729 cm²
The length of the side is √946,729 = 973
Perimeter of the square = 4a
Here, a = 973
Therefore, the perimeter = 4 × 973 = 3,892.
Problem 5
Find the square of 974.
The square of 974 is 948,676
Explanation
The square of 974 is multiplying 974 by 974.
So, the square = 974 × 974 = 948,676
FAQs on Square of 973
1.What is the square of 973?
2.What is the square root of 973?
3.Is 973 a prime number?
4.What are the first few multiples of 973?
5.What is the square of 972?
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 973?
8.How do technology and digital tools in United States support learning Algebra and Square of 973?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 973.
- Prime number: A number that is only divisible by 1 and itself.
- Exponential form: Writing a number as a base raised to a power, such as 973².
- Square root: The number that, when multiplied by itself, gives the original number.
- Perfect square: A number that has an integer as its square root.
- Odd number: An integer not divisible by 2.
Explore More algebra
Previous to Square of 973
About BrightChamps in United States
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.
