55/70 Additive Inverse :
The additive inverse of 55/70 is -55/70.
This means that when we add 55/70 and -55/70, the result is zero:
55/70 + (-55/70) = 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: 55/70
- Additive inverse: -55/70
To verify: 55/70 + (-55/70) = 0
Extended Mathematical Exploration of 55/70
Let's explore various mathematical operations and concepts related to 55/70 and its additive inverse -55/70.
Basic Operations and Properties
- Square of 55/70: 0.61734693877551
- Cube of 55/70: 0.4850583090379
- Square root of |55/70|: 0.88640526042792
- Reciprocal of 55/70: 1.2727272727273
- Double of 55/70: 1.5714285714286
- Half of 55/70: 0.39285714285714
- Absolute value of 55/70: 0.78571428571429
Trigonometric Functions
- Sine of 55/70: 0.70733027808498
- Cosine of 55/70: 0.70688321362459
- Tangent of 55/70: 1.0006324445846
Exponential and Logarithmic Functions
- e^55/70: 2.1939735051116
- Natural log of 55/70: -0.24116205681689
Floor and Ceiling Functions
- Floor of 55/70: 0
- Ceiling of 55/70: 1
Interesting Properties and Relationships
- The sum of 55/70 and its additive inverse (-55/70) is always 0.
- The product of 55/70 and its additive inverse is: -3025
- The average of 55/70 and its additive inverse is always 0.
- The distance between 55/70 and its additive inverse on a number line is: 110
Applications in Algebra
Consider the equation: x + 55/70 = 0
The solution to this equation is x = -55/70, which is the additive inverse of 55/70.
Graphical Representation
On a coordinate plane:
- The point (55/70, 0) is reflected across the y-axis to (-55/70, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 55/70 and Its Additive Inverse
Consider the alternating series: 55/70 + (-55/70) + 55/70 + (-55/70) + ...
The sum of this series oscillates between 0 and 55/70, never converging unless 55/70 is 0.
In Number Theory
For integer values:
- If 55/70 is even, its additive inverse is also even.
- If 55/70 is odd, its additive inverse is also odd.
- The sum of the digits of 55/70 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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