15/16 Additive Inverse :
The additive inverse of 15/16 is -15/16.
This means that when we add 15/16 and -15/16, the result is zero:
15/16 + (-15/16) = 0
Additive Inverse of a Fraction
For fractions, the additive inverse is found by negating the numerator or denominator, but not both. In this case:
- Original fraction: 15/16
- Additive inverse: -15/16
To verify: 15/16 + (-15/16) = 0
Extended Mathematical Exploration of 15/16
Let's explore various mathematical operations and concepts related to 15/16 and its additive inverse -15/16.
Basic Operations and Properties
- Square of 15/16: 0.87890625
- Cube of 15/16: 0.823974609375
- Square root of |15/16|: 0.96824583655185
- Reciprocal of 15/16: 1.0666666666667
- Double of 15/16: 1.875
- Half of 15/16: 0.46875
- Absolute value of 15/16: 0.9375
Trigonometric Functions
- Sine of 15/16: 0.80608110826069
- Cosine of 15/16: 0.59180507509248
- Tangent of 15/16: 1.3620719763762
Exponential and Logarithmic Functions
- e^15/16: 2.5535894580629
- Natural log of 15/16: -0.064538521137571
Floor and Ceiling Functions
- Floor of 15/16: 0
- Ceiling of 15/16: 1
Interesting Properties and Relationships
- The sum of 15/16 and its additive inverse (-15/16) is always 0.
- The product of 15/16 and its additive inverse is: -225
- The average of 15/16 and its additive inverse is always 0.
- The distance between 15/16 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/16 = 0
The solution to this equation is x = -15/16, which is the additive inverse of 15/16.
Graphical Representation
On a coordinate plane:
- The point (15/16, 0) is reflected across the y-axis to (-15/16, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/16 and Its Additive Inverse
Consider the alternating series: 15/16 + (-15/16) + 15/16 + (-15/16) + ...
The sum of this series oscillates between 0 and 15/16, never converging unless 15/16 is 0.
In Number Theory
For integer values:
- If 15/16 is even, its additive inverse is also even.
- If 15/16 is odd, its additive inverse is also odd.
- The sum of the digits of 15/16 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: