14/25 Additive Inverse :
The additive inverse of 14/25 is -14/25.
This means that when we add 14/25 and -14/25, the result is zero:
14/25 + (-14/25) = 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: 14/25
- Additive inverse: -14/25
To verify: 14/25 + (-14/25) = 0
Extended Mathematical Exploration of 14/25
Let's explore various mathematical operations and concepts related to 14/25 and its additive inverse -14/25.
Basic Operations and Properties
- Square of 14/25: 0.3136
- Cube of 14/25: 0.175616
- Square root of |14/25|: 0.74833147735479
- Reciprocal of 14/25: 1.7857142857143
- Double of 14/25: 1.12
- Half of 14/25: 0.28
- Absolute value of 14/25: 0.56
Trigonometric Functions
- Sine of 14/25: 0.53118619792088
- Cosine of 14/25: 0.84725511101342
- Tangent of 14/25: 0.6269495350527
Exponential and Logarithmic Functions
- e^14/25: 1.7506725002961
- Natural log of 14/25: -0.57981849525294
Floor and Ceiling Functions
- Floor of 14/25: 0
- Ceiling of 14/25: 1
Interesting Properties and Relationships
- The sum of 14/25 and its additive inverse (-14/25) is always 0.
- The product of 14/25 and its additive inverse is: -196
- The average of 14/25 and its additive inverse is always 0.
- The distance between 14/25 and its additive inverse on a number line is: 28
Applications in Algebra
Consider the equation: x + 14/25 = 0
The solution to this equation is x = -14/25, which is the additive inverse of 14/25.
Graphical Representation
On a coordinate plane:
- The point (14/25, 0) is reflected across the y-axis to (-14/25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14/25 and Its Additive Inverse
Consider the alternating series: 14/25 + (-14/25) + 14/25 + (-14/25) + ...
The sum of this series oscillates between 0 and 14/25, never converging unless 14/25 is 0.
In Number Theory
For integer values:
- If 14/25 is even, its additive inverse is also even.
- If 14/25 is odd, its additive inverse is also odd.
- The sum of the digits of 14/25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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