13/25 Additive Inverse :
The additive inverse of 13/25 is -13/25.
This means that when we add 13/25 and -13/25, the result is zero:
13/25 + (-13/25) = 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: 13/25
- Additive inverse: -13/25
To verify: 13/25 + (-13/25) = 0
Extended Mathematical Exploration of 13/25
Let's explore various mathematical operations and concepts related to 13/25 and its additive inverse -13/25.
Basic Operations and Properties
- Square of 13/25: 0.2704
- Cube of 13/25: 0.140608
- Square root of |13/25|: 0.7211102550928
- Reciprocal of 13/25: 1.9230769230769
- Double of 13/25: 1.04
- Half of 13/25: 0.26
- Absolute value of 13/25: 0.52
Trigonometric Functions
- Sine of 13/25: 0.49688013784374
- Cosine of 13/25: 0.86781917967765
- Tangent of 13/25: 0.57256183025167
Exponential and Logarithmic Functions
- e^13/25: 1.6820276496989
- Natural log of 13/25: -0.65392646740666
Floor and Ceiling Functions
- Floor of 13/25: 0
- Ceiling of 13/25: 1
Interesting Properties and Relationships
- The sum of 13/25 and its additive inverse (-13/25) is always 0.
- The product of 13/25 and its additive inverse is: -169
- The average of 13/25 and its additive inverse is always 0.
- The distance between 13/25 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/25 = 0
The solution to this equation is x = -13/25, which is the additive inverse of 13/25.
Graphical Representation
On a coordinate plane:
- The point (13/25, 0) is reflected across the y-axis to (-13/25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/25 and Its Additive Inverse
Consider the alternating series: 13/25 + (-13/25) + 13/25 + (-13/25) + ...
The sum of this series oscillates between 0 and 13/25, never converging unless 13/25 is 0.
In Number Theory
For integer values:
- If 13/25 is even, its additive inverse is also even.
- If 13/25 is odd, its additive inverse is also odd.
- The sum of the digits of 13/25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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