90/103 Additive Inverse :
The additive inverse of 90/103 is -90/103.
This means that when we add 90/103 and -90/103, the result is zero:
90/103 + (-90/103) = 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: 90/103
- Additive inverse: -90/103
To verify: 90/103 + (-90/103) = 0
Extended Mathematical Exploration of 90/103
Let's explore various mathematical operations and concepts related to 90/103 and its additive inverse -90/103.
Basic Operations and Properties
- Square of 90/103: 0.76350268639834
- Cube of 90/103: 0.66713826966845
- Square root of |90/103|: 0.93476542927463
- Reciprocal of 90/103: 1.1444444444444
- Double of 90/103: 1.747572815534
- Half of 90/103: 0.4368932038835
- Absolute value of 90/103: 0.87378640776699
Trigonometric Functions
- Sine of 90/103: 0.76676502839722
- Cosine of 90/103: 0.6419278707355
- Tangent of 90/103: 1.1944722504706
Exponential and Logarithmic Functions
- e^90/103: 2.3959658033671
- Natural log of 90/103: -0.13491931789937
Floor and Ceiling Functions
- Floor of 90/103: 0
- Ceiling of 90/103: 1
Interesting Properties and Relationships
- The sum of 90/103 and its additive inverse (-90/103) is always 0.
- The product of 90/103 and its additive inverse is: -8100
- The average of 90/103 and its additive inverse is always 0.
- The distance between 90/103 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/103 = 0
The solution to this equation is x = -90/103, which is the additive inverse of 90/103.
Graphical Representation
On a coordinate plane:
- The point (90/103, 0) is reflected across the y-axis to (-90/103, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/103 and Its Additive Inverse
Consider the alternating series: 90/103 + (-90/103) + 90/103 + (-90/103) + ...
The sum of this series oscillates between 0 and 90/103, never converging unless 90/103 is 0.
In Number Theory
For integer values:
- If 90/103 is even, its additive inverse is also even.
- If 90/103 is odd, its additive inverse is also odd.
- The sum of the digits of 90/103 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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