Table of Contents
983 squared, (983)2, is the number you get when multiplying 983 times 983.
It can also be looked at as exponentiation involving the base 983 and the exponent 2.
The term is usually pronounced nine hundred eighty-three times nine hundred eighty-three or nine hundred eighty-three squared.
The square of 983 is a perfect square because the number is the product of the two equal integers 983.
It can be written as 983 × 983 or in exponential form.
Read on to learn everything about the number nine hundred eighty-three squared, including useful identities.
Calculator
(983)2 = 966,289
983 × 983 = 966,289
The inverse operation of squaring nine hundred eighty-three is extracting the square root of 983, explained here.
In the next section we elaborate on what is 983 squared and there you can also find our calculator.
What is 983 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 983 has an area of 966,289.
983 squared equals the sum of the first 983 odd numbers:
In addition, the number can be calculated from 982 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(983)2 = 9822 + 982 + 983 = 9822 + 1965 = 966,289
It can be also be computed from 982 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(983)2 = 2 x 9822 – 9812 + 2 = 2 x 964324 – 962361 + 2 = 966,289
The difference between the perfect square of 983 and its predecessor, 982, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 983 – 1 = 1965 = (983)2 – 9822 = 966,289 – 964324 = 1965
983 is odd, and the square numbers of odd numbers are also odd: (2n + 1)2 = 4 × (n2 + n) + 1.
Squares of odd numbers like 983 are of the form 8n + 1, because (2n + 1)2 = 4n × (n + 1) + 1;
n × (n + 1) is an even number.
If you want to calculate the square of any number, not only integers like 983, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 983 is, for example: square of 985.
If something remains unclear do not hesitate getting in touch with us.
We are constantly trying to improve our site, and truly appreciate your feedback.
The following table contains the squares of numbers close to 983.
Table
| Number | Square |
|---|---|
| 978 | 956,484 |
| 979 | 958,441 |
| 980 | 960,400 |
| 981 | 962,361 |
| 982 | 964,324 |
| 983 | 966,289 |
| 984 | 968,256 |
| 985 | 970,225 |
| 986 | 972,196 |
| 987 | 974,169 |
| 988 | 976,144 |
Nine Hundred Eighty-Three Squared
By reading so far you know all about squaring the number 983 and calculating it using recursive methods, or as sum, product or by exponentiation.
983 squared is equivalent to 966,289.
If you were searching for what is 983 squared in math or if you typed whats 983 squared in the search engine you now have all the answers, too.
The same goes for searches like square983, and 983 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 983 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
983 squared = 983 × 983 = (983)2 = 966,289.
The exponentiation form is mostly used to denote nine hundred eighty-three squared.
If this article about the square of 983 has been of help to you then please share it by means of the social buttons.
And should you want to leave a comment related to 983 squared use the form below.
Websites which are related to this one can be found in the “recommended sites” section in the sidebar.
Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.
And come back soon!
Thanks for your visit.
– Article written by Mark, last updated on November 26th, 2023