67.38 Additive Inverse :
The additive inverse of 67.38 is -67.38.
This means that when we add 67.38 and -67.38, the result is zero:
67.38 + (-67.38) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.38
- Additive inverse: -67.38
To verify: 67.38 + (-67.38) = 0
Extended Mathematical Exploration of 67.38
Let's explore various mathematical operations and concepts related to 67.38 and its additive inverse -67.38.
Basic Operations and Properties
- Square of 67.38: 4540.0644
- Cube of 67.38: 305909.539272
- Square root of |67.38|: 8.2085321464925
- Reciprocal of 67.38: 0.014841199168893
- Double of 67.38: 134.76
- Half of 67.38: 33.69
- Absolute value of 67.38: 67.38
Trigonometric Functions
- Sine of 67.38: -0.98654256668933
- Cosine of 67.38: -0.16350463024034
- Tangent of 67.38: 6.0337286182
Exponential and Logarithmic Functions
- e^67.38: 1.8313113650975E+29
- Natural log of 67.38: 4.2103482379784
Floor and Ceiling Functions
- Floor of 67.38: 67
- Ceiling of 67.38: 68
Interesting Properties and Relationships
- The sum of 67.38 and its additive inverse (-67.38) is always 0.
- The product of 67.38 and its additive inverse is: -4540.0644
- The average of 67.38 and its additive inverse is always 0.
- The distance between 67.38 and its additive inverse on a number line is: 134.76
Applications in Algebra
Consider the equation: x + 67.38 = 0
The solution to this equation is x = -67.38, which is the additive inverse of 67.38.
Graphical Representation
On a coordinate plane:
- The point (67.38, 0) is reflected across the y-axis to (-67.38, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.38 and Its Additive Inverse
Consider the alternating series: 67.38 + (-67.38) + 67.38 + (-67.38) + ...
The sum of this series oscillates between 0 and 67.38, never converging unless 67.38 is 0.
In Number Theory
For integer values:
- If 67.38 is even, its additive inverse is also even.
- If 67.38 is odd, its additive inverse is also odd.
- The sum of the digits of 67.38 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: