67.424 Additive Inverse :
The additive inverse of 67.424 is -67.424.
This means that when we add 67.424 and -67.424, the result is zero:
67.424 + (-67.424) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.424
- Additive inverse: -67.424
To verify: 67.424 + (-67.424) = 0
Extended Mathematical Exploration of 67.424
Let's explore various mathematical operations and concepts related to 67.424 and its additive inverse -67.424.
Basic Operations and Properties
- Square of 67.424: 4545.995776
- Cube of 67.424: 306509.21920102
- Square root of |67.424|: 8.2112118472245
- Reciprocal of 67.424: 0.014831514000949
- Double of 67.424: 134.848
- Half of 67.424: 33.712
- Absolute value of 67.424: 67.424
Trigonometric Functions
- Sine of 67.424: -0.99277963016938
- Cosine of 67.424: -0.11995251527482
- Tangent of 67.424: 8.276438621523
Exponential and Logarithmic Functions
- e^67.424: 1.9136880628336E+29
- Natural log of 67.424: 4.2110010376218
Floor and Ceiling Functions
- Floor of 67.424: 67
- Ceiling of 67.424: 68
Interesting Properties and Relationships
- The sum of 67.424 and its additive inverse (-67.424) is always 0.
- The product of 67.424 and its additive inverse is: -4545.995776
- The average of 67.424 and its additive inverse is always 0.
- The distance between 67.424 and its additive inverse on a number line is: 134.848
Applications in Algebra
Consider the equation: x + 67.424 = 0
The solution to this equation is x = -67.424, which is the additive inverse of 67.424.
Graphical Representation
On a coordinate plane:
- The point (67.424, 0) is reflected across the y-axis to (-67.424, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.424 and Its Additive Inverse
Consider the alternating series: 67.424 + (-67.424) + 67.424 + (-67.424) + ...
The sum of this series oscillates between 0 and 67.424, never converging unless 67.424 is 0.
In Number Theory
For integer values:
- If 67.424 is even, its additive inverse is also even.
- If 67.424 is odd, its additive inverse is also odd.
- The sum of the digits of 67.424 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: