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989 squared, (989)2, is the number you get when multiplying 989 times 989.
It can also be looked at as exponentiation involving the base 989 and the exponent 2.
The term is usually pronounced nine hundred eighty-nine times nine hundred eighty-nine or nine hundred eighty-nine squared.
The square of 989 is a perfect square because the number is the product of the two equal integers 989.
It can be written as 989 × 989 or in exponential form.
Read on to learn everything about the number nine hundred eighty-nine squared, including useful identities.
Calculator
(989)2 = 978,121
989 × 989 = 978,121
The inverse operation of squaring nine hundred eighty-nine is extracting the square root of 989, explained here.
In the next section we elaborate on what is 989 squared and there you can also find our calculator.
What is 989 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 989 has an area of 978,121.
989 squared equals the sum of the first 989 odd numbers:
In addition, the number can be calculated from 988 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(989)2 = 9882 + 988 + 989 = 9882 + 1977 = 978,121
It can be also be computed from 988 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(989)2 = 2 x 9882 – 9872 + 2 = 2 x 976144 – 974169 + 2 = 978,121
The difference between the perfect square of 989 and its predecessor, 988, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 989 – 1 = 1977 = (989)2 – 9882 = 978,121 – 976144 = 1977
989 is odd, and the square numbers of odd numbers are also odd: (2n + 1)2 = 4 × (n2 + n) + 1.
Squares of odd numbers like 989 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 989, you can use our calculator above.
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A square similar to 989 is, for example: square of 991.
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The following table contains the squares of numbers close to 989.
Table
| Number | Square |
|---|---|
| 984 | 968,256 |
| 985 | 970,225 |
| 986 | 972,196 |
| 987 | 974,169 |
| 988 | 976,144 |
| 989 | 978,121 |
| 990 | 980,100 |
| 991 | 982,081 |
| 992 | 984,064 |
| 993 | 986,049 |
| 994 | 988,036 |
Nine Hundred Eighty-Nine Squared
By reading so far you know all about squaring the number 989 and calculating it using recursive methods, or as sum, product or by exponentiation.
989 squared is equivalent to 978,121.
If you were searching for what is 989 squared in math or if you typed whats 989 squared in the search engine you now have all the answers, too.
The same goes for searches like square989, and 989 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 989 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
989 squared = 989 × 989 = (989)2 = 978,121.
The exponentiation form is mostly used to denote nine hundred eighty-nine squared.
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– Article written by Mark, last updated on November 26th, 2023