17/25 Additive Inverse :
The additive inverse of 17/25 is -17/25.
This means that when we add 17/25 and -17/25, the result is zero:
17/25 + (-17/25) = 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: 17/25
- Additive inverse: -17/25
To verify: 17/25 + (-17/25) = 0
Extended Mathematical Exploration of 17/25
Let's explore various mathematical operations and concepts related to 17/25 and its additive inverse -17/25.
Basic Operations and Properties
- Square of 17/25: 0.4624
- Cube of 17/25: 0.314432
- Square root of |17/25|: 0.82462112512353
- Reciprocal of 17/25: 1.4705882352941
- Double of 17/25: 1.36
- Half of 17/25: 0.34
- Absolute value of 17/25: 0.68
Trigonometric Functions
- Sine of 17/25: 0.62879302401847
- Cosine of 17/25: 0.77757271875093
- Tangent of 17/25: 0.80866137514257
Exponential and Logarithmic Functions
- e^17/25: 1.9738777322304
- Natural log of 17/25: -0.38566248081198
Floor and Ceiling Functions
- Floor of 17/25: 0
- Ceiling of 17/25: 1
Interesting Properties and Relationships
- The sum of 17/25 and its additive inverse (-17/25) is always 0.
- The product of 17/25 and its additive inverse is: -289
- The average of 17/25 and its additive inverse is always 0.
- The distance between 17/25 and its additive inverse on a number line is: 34
Applications in Algebra
Consider the equation: x + 17/25 = 0
The solution to this equation is x = -17/25, which is the additive inverse of 17/25.
Graphical Representation
On a coordinate plane:
- The point (17/25, 0) is reflected across the y-axis to (-17/25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17/25 and Its Additive Inverse
Consider the alternating series: 17/25 + (-17/25) + 17/25 + (-17/25) + ...
The sum of this series oscillates between 0 and 17/25, never converging unless 17/25 is 0.
In Number Theory
For integer values:
- If 17/25 is even, its additive inverse is also even.
- If 17/25 is odd, its additive inverse is also odd.
- The sum of the digits of 17/25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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