67.313 Additive Inverse :
The additive inverse of 67.313 is -67.313.
This means that when we add 67.313 and -67.313, the result is zero:
67.313 + (-67.313) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.313
- Additive inverse: -67.313
To verify: 67.313 + (-67.313) = 0
Extended Mathematical Exploration of 67.313
Let's explore various mathematical operations and concepts related to 67.313 and its additive inverse -67.313.
Basic Operations and Properties
- Square of 67.313: 4531.039969
- Cube of 67.313: 304997.8934333
- Square root of |67.313|: 8.2044500120362
- Reciprocal of 67.313: 0.014855971357687
- Double of 67.313: 134.626
- Half of 67.313: 33.6565
- Absolute value of 67.313: 67.313
Trigonometric Functions
- Sine of 67.313: -0.97338248406359
- Cosine of 67.313: -0.22918669184358
- Tangent of 67.313: 4.2471160791828
Exponential and Logarithmic Functions
- e^67.313: 1.7126336007927E+29
- Natural log of 67.313: 4.2093533829299
Floor and Ceiling Functions
- Floor of 67.313: 67
- Ceiling of 67.313: 68
Interesting Properties and Relationships
- The sum of 67.313 and its additive inverse (-67.313) is always 0.
- The product of 67.313 and its additive inverse is: -4531.039969
- The average of 67.313 and its additive inverse is always 0.
- The distance between 67.313 and its additive inverse on a number line is: 134.626
Applications in Algebra
Consider the equation: x + 67.313 = 0
The solution to this equation is x = -67.313, which is the additive inverse of 67.313.
Graphical Representation
On a coordinate plane:
- The point (67.313, 0) is reflected across the y-axis to (-67.313, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.313 and Its Additive Inverse
Consider the alternating series: 67.313 + (-67.313) + 67.313 + (-67.313) + ...
The sum of this series oscillates between 0 and 67.313, never converging unless 67.313 is 0.
In Number Theory
For integer values:
- If 67.313 is even, its additive inverse is also even.
- If 67.313 is odd, its additive inverse is also odd.
- The sum of the digits of 67.313 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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