15/24 Additive Inverse :
The additive inverse of 15/24 is -15/24.
This means that when we add 15/24 and -15/24, the result is zero:
15/24 + (-15/24) = 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: 15/24
- Additive inverse: -15/24
To verify: 15/24 + (-15/24) = 0
Extended Mathematical Exploration of 15/24
Let's explore various mathematical operations and concepts related to 15/24 and its additive inverse -15/24.
Basic Operations and Properties
- Square of 15/24: 0.390625
- Cube of 15/24: 0.244140625
- Square root of |15/24|: 0.79056941504209
- Reciprocal of 15/24: 1.6
- Double of 15/24: 1.25
- Half of 15/24: 0.3125
- Absolute value of 15/24: 0.625
Trigonometric Functions
- Sine of 15/24: 0.58509727294046
- Cosine of 15/24: 0.81096311950522
- Tangent of 15/24: 0.7214844409909
Exponential and Logarithmic Functions
- e^15/24: 1.8682459574322
- Natural log of 15/24: -0.47000362924574
Floor and Ceiling Functions
- Floor of 15/24: 0
- Ceiling of 15/24: 1
Interesting Properties and Relationships
- The sum of 15/24 and its additive inverse (-15/24) is always 0.
- The product of 15/24 and its additive inverse is: -225
- The average of 15/24 and its additive inverse is always 0.
- The distance between 15/24 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/24 = 0
The solution to this equation is x = -15/24, which is the additive inverse of 15/24.
Graphical Representation
On a coordinate plane:
- The point (15/24, 0) is reflected across the y-axis to (-15/24, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/24 and Its Additive Inverse
Consider the alternating series: 15/24 + (-15/24) + 15/24 + (-15/24) + ...
The sum of this series oscillates between 0 and 15/24, never converging unless 15/24 is 0.
In Number Theory
For integer values:
- If 15/24 is even, its additive inverse is also even.
- If 15/24 is odd, its additive inverse is also odd.
- The sum of the digits of 15/24 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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