67.142 Additive Inverse :
The additive inverse of 67.142 is -67.142.
This means that when we add 67.142 and -67.142, the result is zero:
67.142 + (-67.142) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.142
- Additive inverse: -67.142
To verify: 67.142 + (-67.142) = 0
Extended Mathematical Exploration of 67.142
Let's explore various mathematical operations and concepts related to 67.142 and its additive inverse -67.142.
Basic Operations and Properties
- Square of 67.142: 4508.048164
- Cube of 67.142: 302679.36982729
- Square root of |67.142|: 8.1940222113441
- Reciprocal of 67.142: 0.014893807154985
- Double of 67.142: 134.284
- Half of 67.142: 33.571
- Absolute value of 67.142: 67.142
Trigonometric Functions
- Sine of 67.142: -0.92018558349804
- Cosine of 67.142: -0.39148242862531
- Tangent of 67.142: 2.3505156712378
Exponential and Logarithmic Functions
- e^67.142: 1.4434445462005E+29
- Natural log of 67.142: 4.2068097796099
Floor and Ceiling Functions
- Floor of 67.142: 67
- Ceiling of 67.142: 68
Interesting Properties and Relationships
- The sum of 67.142 and its additive inverse (-67.142) is always 0.
- The product of 67.142 and its additive inverse is: -4508.048164
- The average of 67.142 and its additive inverse is always 0.
- The distance between 67.142 and its additive inverse on a number line is: 134.284
Applications in Algebra
Consider the equation: x + 67.142 = 0
The solution to this equation is x = -67.142, which is the additive inverse of 67.142.
Graphical Representation
On a coordinate plane:
- The point (67.142, 0) is reflected across the y-axis to (-67.142, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.142 and Its Additive Inverse
Consider the alternating series: 67.142 + (-67.142) + 67.142 + (-67.142) + ...
The sum of this series oscillates between 0 and 67.142, never converging unless 67.142 is 0.
In Number Theory
For integer values:
- If 67.142 is even, its additive inverse is also even.
- If 67.142 is odd, its additive inverse is also odd.
- The sum of the digits of 67.142 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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