60/74 Additive Inverse :
The additive inverse of 60/74 is -60/74.
This means that when we add 60/74 and -60/74, the result is zero:
60/74 + (-60/74) = 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: 60/74
- Additive inverse: -60/74
To verify: 60/74 + (-60/74) = 0
Extended Mathematical Exploration of 60/74
Let's explore various mathematical operations and concepts related to 60/74 and its additive inverse -60/74.
Basic Operations and Properties
- Square of 60/74: 0.65741417092768
- Cube of 60/74: 0.53303851696839
- Square root of |60/74|: 0.9004503377815
- Reciprocal of 60/74: 1.2333333333333
- Double of 60/74: 1.6216216216216
- Half of 60/74: 0.40540540540541
- Absolute value of 60/74: 0.81081081081081
Trigonometric Functions
- Sine of 60/74: 0.72484598901405
- Cosine of 60/74: 0.68891094650197
- Tangent of 60/74: 1.0521621012041
Exponential and Logarithmic Functions
- e^60/74: 2.2497313538768
- Natural log of 60/74: -0.20972053098207
Floor and Ceiling Functions
- Floor of 60/74: 0
- Ceiling of 60/74: 1
Interesting Properties and Relationships
- The sum of 60/74 and its additive inverse (-60/74) is always 0.
- The product of 60/74 and its additive inverse is: -3600
- The average of 60/74 and its additive inverse is always 0.
- The distance between 60/74 and its additive inverse on a number line is: 120
Applications in Algebra
Consider the equation: x + 60/74 = 0
The solution to this equation is x = -60/74, which is the additive inverse of 60/74.
Graphical Representation
On a coordinate plane:
- The point (60/74, 0) is reflected across the y-axis to (-60/74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 60/74 and Its Additive Inverse
Consider the alternating series: 60/74 + (-60/74) + 60/74 + (-60/74) + ...
The sum of this series oscillates between 0 and 60/74, never converging unless 60/74 is 0.
In Number Theory
For integer values:
- If 60/74 is even, its additive inverse is also even.
- If 60/74 is odd, its additive inverse is also odd.
- The sum of the digits of 60/74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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