67.402 Additive Inverse :
The additive inverse of 67.402 is -67.402.
This means that when we add 67.402 and -67.402, the result is zero:
67.402 + (-67.402) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.402
- Additive inverse: -67.402
To verify: 67.402 + (-67.402) = 0
Extended Mathematical Exploration of 67.402
Let's explore various mathematical operations and concepts related to 67.402 and its additive inverse -67.402.
Basic Operations and Properties
- Square of 67.402: 4543.029604
- Cube of 67.402: 306209.28136881
- Square root of |67.402|: 8.2098721061902
- Reciprocal of 67.402: 0.014836355004303
- Double of 67.402: 134.804
- Half of 67.402: 33.701
- Absolute value of 67.402: 67.402
Trigonometric Functions
- Sine of 67.402: -0.98990064472344
- Cosine of 67.402: -0.14176287799038
- Tangent of 67.402: 6.9827916783027
Exponential and Logarithmic Functions
- e^67.402: 1.872046660401E+29
- Natural log of 67.402: 4.2106746910685
Floor and Ceiling Functions
- Floor of 67.402: 67
- Ceiling of 67.402: 68
Interesting Properties and Relationships
- The sum of 67.402 and its additive inverse (-67.402) is always 0.
- The product of 67.402 and its additive inverse is: -4543.029604
- The average of 67.402 and its additive inverse is always 0.
- The distance between 67.402 and its additive inverse on a number line is: 134.804
Applications in Algebra
Consider the equation: x + 67.402 = 0
The solution to this equation is x = -67.402, which is the additive inverse of 67.402.
Graphical Representation
On a coordinate plane:
- The point (67.402, 0) is reflected across the y-axis to (-67.402, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.402 and Its Additive Inverse
Consider the alternating series: 67.402 + (-67.402) + 67.402 + (-67.402) + ...
The sum of this series oscillates between 0 and 67.402, never converging unless 67.402 is 0.
In Number Theory
For integer values:
- If 67.402 is even, its additive inverse is also even.
- If 67.402 is odd, its additive inverse is also odd.
- The sum of the digits of 67.402 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: