72/74 Additive Inverse :
The additive inverse of 72/74 is -72/74.
This means that when we add 72/74 and -72/74, the result is zero:
72/74 + (-72/74) = 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: 72/74
- Additive inverse: -72/74
To verify: 72/74 + (-72/74) = 0
Extended Mathematical Exploration of 72/74
Let's explore various mathematical operations and concepts related to 72/74 and its additive inverse -72/74.
Basic Operations and Properties
- Square of 72/74: 0.94667640613587
- Cube of 72/74: 0.92109055732138
- Square root of |72/74|: 0.98639392383214
- Reciprocal of 72/74: 1.0277777777778
- Double of 72/74: 1.9459459459459
- Half of 72/74: 0.48648648648649
- Absolute value of 72/74: 0.97297297297297
Trigonometric Functions
- Sine of 72/74: 0.82656268568884
- Cosine of 72/74: 0.56284467362395
- Tangent of 72/74: 1.4685449190927
Exponential and Logarithmic Functions
- e^72/74: 2.6457986663235
- Natural log of 72/74: -0.027398974188114
Floor and Ceiling Functions
- Floor of 72/74: 0
- Ceiling of 72/74: 1
Interesting Properties and Relationships
- The sum of 72/74 and its additive inverse (-72/74) is always 0.
- The product of 72/74 and its additive inverse is: -5184
- The average of 72/74 and its additive inverse is always 0.
- The distance between 72/74 and its additive inverse on a number line is: 144
Applications in Algebra
Consider the equation: x + 72/74 = 0
The solution to this equation is x = -72/74, which is the additive inverse of 72/74.
Graphical Representation
On a coordinate plane:
- The point (72/74, 0) is reflected across the y-axis to (-72/74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 72/74 and Its Additive Inverse
Consider the alternating series: 72/74 + (-72/74) + 72/74 + (-72/74) + ...
The sum of this series oscillates between 0 and 72/74, never converging unless 72/74 is 0.
In Number Theory
For integer values:
- If 72/74 is even, its additive inverse is also even.
- If 72/74 is odd, its additive inverse is also odd.
- The sum of the digits of 72/74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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