121 Additive Inverse :
The additive inverse of 121 is -121.
This means that when we add 121 and -121, the result is zero:
121 + (-121) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 121
- Additive inverse: -121
To verify: 121 + (-121) = 0
Extended Mathematical Exploration of 121
Let's explore various mathematical operations and concepts related to 121 and its additive inverse -121.
Basic Operations and Properties
- Square of 121: 14641
- Cube of 121: 1771561
- Square root of |121|: 11
- Reciprocal of 121: 0.0082644628099174
- Double of 121: 242
- Half of 121: 60.5
- Absolute value of 121: 121
Trigonometric Functions
- Sine of 121: 0.99881522472358
- Cosine of 121: -0.048663609200154
- Tangent of 121: -20.524889977138
Exponential and Logarithmic Functions
- e^121: 3.5451311827612E+52
- Natural log of 121: 4.7957905455967
Floor and Ceiling Functions
- Floor of 121: 121
- Ceiling of 121: 121
Interesting Properties and Relationships
- The sum of 121 and its additive inverse (-121) is always 0.
- The product of 121 and its additive inverse is: -14641
- The average of 121 and its additive inverse is always 0.
- The distance between 121 and its additive inverse on a number line is: 242
Applications in Algebra
Consider the equation: x + 121 = 0
The solution to this equation is x = -121, which is the additive inverse of 121.
Graphical Representation
On a coordinate plane:
- The point (121, 0) is reflected across the y-axis to (-121, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 121 and Its Additive Inverse
Consider the alternating series: 121 + (-121) + 121 + (-121) + ...
The sum of this series oscillates between 0 and 121, never converging unless 121 is 0.
In Number Theory
For integer values:
- If 121 is even, its additive inverse is also even.
- If 121 is odd, its additive inverse is also odd.
- The sum of the digits of 121 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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