73 Additive Inverse :
The additive inverse of 73 is -73.
This means that when we add 73 and -73, the result is zero:
73 + (-73) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 73
- Additive inverse: -73
To verify: 73 + (-73) = 0
Extended Mathematical Exploration of 73
Let's explore various mathematical operations and concepts related to 73 and its additive inverse -73.
Basic Operations and Properties
- Square of 73: 5329
- Cube of 73: 389017
- Square root of |73|: 8.5440037453175
- Reciprocal of 73: 0.013698630136986
- Double of 73: 146
- Half of 73: 36.5
- Absolute value of 73: 73
Trigonometric Functions
- Sine of 73: -0.67677195688731
- Cosine of 73: -0.73619271822732
- Tangent of 73: 0.91928640440361
Exponential and Logarithmic Functions
- e^73: 5.0523936302761E+31
- Natural log of 73: 4.2904594411484
Floor and Ceiling Functions
- Floor of 73: 73
- Ceiling of 73: 73
Interesting Properties and Relationships
- The sum of 73 and its additive inverse (-73) is always 0.
- The product of 73 and its additive inverse is: -5329
- The average of 73 and its additive inverse is always 0.
- The distance between 73 and its additive inverse on a number line is: 146
Applications in Algebra
Consider the equation: x + 73 = 0
The solution to this equation is x = -73, which is the additive inverse of 73.
Graphical Representation
On a coordinate plane:
- The point (73, 0) is reflected across the y-axis to (-73, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 73 and Its Additive Inverse
Consider the alternating series: 73 + (-73) + 73 + (-73) + ...
The sum of this series oscillates between 0 and 73, never converging unless 73 is 0.
In Number Theory
For integer values:
- If 73 is even, its additive inverse is also even.
- If 73 is odd, its additive inverse is also odd.
- The sum of the digits of 73 and its additive inverse may or may not be the same.
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