87/100 Additive Inverse :
The additive inverse of 87/100 is -87/100.
This means that when we add 87/100 and -87/100, the result is zero:
87/100 + (-87/100) = 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: 87/100
- Additive inverse: -87/100
To verify: 87/100 + (-87/100) = 0
Extended Mathematical Exploration of 87/100
Let's explore various mathematical operations and concepts related to 87/100 and its additive inverse -87/100.
Basic Operations and Properties
- Square of 87/100: 0.7569
- Cube of 87/100: 0.658503
- Square root of |87/100|: 0.93273790530888
- Reciprocal of 87/100: 1.1494252873563
- Double of 87/100: 1.74
- Half of 87/100: 0.435
- Absolute value of 87/100: 0.87
Trigonometric Functions
- Sine of 87/100: 0.76432893702551
- Cosine of 87/100: 0.64482654724
- Tangent of 87/100: 1.1853248603008
Exponential and Logarithmic Functions
- e^87/100: 2.3869108535243
- Natural log of 87/100: -0.13926206733351
Floor and Ceiling Functions
- Floor of 87/100: 0
- Ceiling of 87/100: 1
Interesting Properties and Relationships
- The sum of 87/100 and its additive inverse (-87/100) is always 0.
- The product of 87/100 and its additive inverse is: -7569
- The average of 87/100 and its additive inverse is always 0.
- The distance between 87/100 and its additive inverse on a number line is: 174
Applications in Algebra
Consider the equation: x + 87/100 = 0
The solution to this equation is x = -87/100, which is the additive inverse of 87/100.
Graphical Representation
On a coordinate plane:
- The point (87/100, 0) is reflected across the y-axis to (-87/100, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 87/100 and Its Additive Inverse
Consider the alternating series: 87/100 + (-87/100) + 87/100 + (-87/100) + ...
The sum of this series oscillates between 0 and 87/100, never converging unless 87/100 is 0.
In Number Theory
For integer values:
- If 87/100 is even, its additive inverse is also even.
- If 87/100 is odd, its additive inverse is also odd.
- The sum of the digits of 87/100 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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