17/20 Additive Inverse :
The additive inverse of 17/20 is -17/20.
This means that when we add 17/20 and -17/20, the result is zero:
17/20 + (-17/20) = 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: 17/20
- Additive inverse: -17/20
To verify: 17/20 + (-17/20) = 0
Extended Mathematical Exploration of 17/20
Let's explore various mathematical operations and concepts related to 17/20 and its additive inverse -17/20.
Basic Operations and Properties
- Square of 17/20: 0.7225
- Cube of 17/20: 0.614125
- Square root of |17/20|: 0.92195444572929
- Reciprocal of 17/20: 1.1764705882353
- Double of 17/20: 1.7
- Half of 17/20: 0.425
- Absolute value of 17/20: 0.85
Trigonometric Functions
- Sine of 17/20: 0.75128040514029
- Cosine of 17/20: 0.65998314588498
- Tangent of 17/20: 1.1383327132284
Exponential and Logarithmic Functions
- e^17/20: 2.339646851926
- Natural log of 17/20: -0.16251892949777
Floor and Ceiling Functions
- Floor of 17/20: 0
- Ceiling of 17/20: 1
Interesting Properties and Relationships
- The sum of 17/20 and its additive inverse (-17/20) is always 0.
- The product of 17/20 and its additive inverse is: -289
- The average of 17/20 and its additive inverse is always 0.
- The distance between 17/20 and its additive inverse on a number line is: 34
Applications in Algebra
Consider the equation: x + 17/20 = 0
The solution to this equation is x = -17/20, which is the additive inverse of 17/20.
Graphical Representation
On a coordinate plane:
- The point (17/20, 0) is reflected across the y-axis to (-17/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17/20 and Its Additive Inverse
Consider the alternating series: 17/20 + (-17/20) + 17/20 + (-17/20) + ...
The sum of this series oscillates between 0 and 17/20, never converging unless 17/20 is 0.
In Number Theory
For integer values:
- If 17/20 is even, its additive inverse is also even.
- If 17/20 is odd, its additive inverse is also odd.
- The sum of the digits of 17/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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