7/20 Additive Inverse :
The additive inverse of 7/20 is -7/20.
This means that when we add 7/20 and -7/20, the result is zero:
7/20 + (-7/20) = 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: 7/20
- Additive inverse: -7/20
To verify: 7/20 + (-7/20) = 0
Extended Mathematical Exploration of 7/20
Let's explore various mathematical operations and concepts related to 7/20 and its additive inverse -7/20.
Basic Operations and Properties
- Square of 7/20: 0.1225
- Cube of 7/20: 0.042875
- Square root of |7/20|: 0.59160797830996
- Reciprocal of 7/20: 2.8571428571429
- Double of 7/20: 0.7
- Half of 7/20: 0.175
- Absolute value of 7/20: 0.35
Trigonometric Functions
- Sine of 7/20: 0.34289780745545
- Cosine of 7/20: 0.93937271284738
- Tangent of 7/20: 0.36502849483042
Exponential and Logarithmic Functions
- e^7/20: 1.4190675485933
- Natural log of 7/20: -1.0498221244987
Floor and Ceiling Functions
- Floor of 7/20: 0
- Ceiling of 7/20: 1
Interesting Properties and Relationships
- The sum of 7/20 and its additive inverse (-7/20) is always 0.
- The product of 7/20 and its additive inverse is: -49
- The average of 7/20 and its additive inverse is always 0.
- The distance between 7/20 and its additive inverse on a number line is: 14
Applications in Algebra
Consider the equation: x + 7/20 = 0
The solution to this equation is x = -7/20, which is the additive inverse of 7/20.
Graphical Representation
On a coordinate plane:
- The point (7/20, 0) is reflected across the y-axis to (-7/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7/20 and Its Additive Inverse
Consider the alternating series: 7/20 + (-7/20) + 7/20 + (-7/20) + ...
The sum of this series oscillates between 0 and 7/20, never converging unless 7/20 is 0.
In Number Theory
For integer values:
- If 7/20 is even, its additive inverse is also even.
- If 7/20 is odd, its additive inverse is also odd.
- The sum of the digits of 7/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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