70/73 Additive Inverse :
The additive inverse of 70/73 is -70/73.
This means that when we add 70/73 and -70/73, the result is zero:
70/73 + (-70/73) = 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: 70/73
- Additive inverse: -70/73
To verify: 70/73 + (-70/73) = 0
Extended Mathematical Exploration of 70/73
Let's explore various mathematical operations and concepts related to 70/73 and its additive inverse -70/73.
Basic Operations and Properties
- Square of 70/73: 0.91949709138675
- Cube of 70/73: 0.88170953968593
- Square root of |70/73|: 0.97923649318693
- Reciprocal of 70/73: 1.0428571428571
- Double of 70/73: 1.9178082191781
- Half of 70/73: 0.47945205479452
- Absolute value of 70/73: 0.95890410958904
Trigonometric Functions
- Sine of 70/73: 0.818562561459
- Cosine of 70/73: 0.57441738568543
- Tangent of 70/73: 1.4250309650399
Exponential and Logarithmic Functions
- e^70/73: 2.6088359080209
- Natural log of 70/73: -0.041964199099032
Floor and Ceiling Functions
- Floor of 70/73: 0
- Ceiling of 70/73: 1
Interesting Properties and Relationships
- The sum of 70/73 and its additive inverse (-70/73) is always 0.
- The product of 70/73 and its additive inverse is: -4900
- The average of 70/73 and its additive inverse is always 0.
- The distance between 70/73 and its additive inverse on a number line is: 140
Applications in Algebra
Consider the equation: x + 70/73 = 0
The solution to this equation is x = -70/73, which is the additive inverse of 70/73.
Graphical Representation
On a coordinate plane:
- The point (70/73, 0) is reflected across the y-axis to (-70/73, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 70/73 and Its Additive Inverse
Consider the alternating series: 70/73 + (-70/73) + 70/73 + (-70/73) + ...
The sum of this series oscillates between 0 and 70/73, never converging unless 70/73 is 0.
In Number Theory
For integer values:
- If 70/73 is even, its additive inverse is also even.
- If 70/73 is odd, its additive inverse is also odd.
- The sum of the digits of 70/73 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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