74/87 Additive Inverse :
The additive inverse of 74/87 is -74/87.
This means that when we add 74/87 and -74/87, the result is zero:
74/87 + (-74/87) = 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: 74/87
- Additive inverse: -74/87
To verify: 74/87 + (-74/87) = 0
Extended Mathematical Exploration of 74/87
Let's explore various mathematical operations and concepts related to 74/87 and its additive inverse -74/87.
Basic Operations and Properties
- Square of 74/87: 0.72347734178888
- Cube of 74/87: 0.61537153209628
- Square root of |74/87|: 0.92226607475483
- Reciprocal of 74/87: 1.1756756756757
- Double of 74/87: 1.7011494252874
- Half of 74/87: 0.42528735632184
- Absolute value of 74/87: 0.85057471264368
Trigonometric Functions
- Sine of 74/87: 0.75165958170603
- Cosine of 74/87: 0.65955126656653
- Tangent of 74/87: 1.1396530031987
Exponential and Logarithmic Functions
- e^74/87: 2.340991863014
- Natural log of 74/87: -0.16184302545041
Floor and Ceiling Functions
- Floor of 74/87: 0
- Ceiling of 74/87: 1
Interesting Properties and Relationships
- The sum of 74/87 and its additive inverse (-74/87) is always 0.
- The product of 74/87 and its additive inverse is: -5476
- The average of 74/87 and its additive inverse is always 0.
- The distance between 74/87 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/87 = 0
The solution to this equation is x = -74/87, which is the additive inverse of 74/87.
Graphical Representation
On a coordinate plane:
- The point (74/87, 0) is reflected across the y-axis to (-74/87, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/87 and Its Additive Inverse
Consider the alternating series: 74/87 + (-74/87) + 74/87 + (-74/87) + ...
The sum of this series oscillates between 0 and 74/87, never converging unless 74/87 is 0.
In Number Theory
For integer values:
- If 74/87 is even, its additive inverse is also even.
- If 74/87 is odd, its additive inverse is also odd.
- The sum of the digits of 74/87 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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