48/60 Additive Inverse :
The additive inverse of 48/60 is -48/60.
This means that when we add 48/60 and -48/60, the result is zero:
48/60 + (-48/60) = 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: 48/60
- Additive inverse: -48/60
To verify: 48/60 + (-48/60) = 0
Extended Mathematical Exploration of 48/60
Let's explore various mathematical operations and concepts related to 48/60 and its additive inverse -48/60.
Basic Operations and Properties
- Square of 48/60: 0.64
- Cube of 48/60: 0.512
- Square root of |48/60|: 0.89442719099992
- Reciprocal of 48/60: 1.25
- Double of 48/60: 1.6
- Half of 48/60: 0.4
- Absolute value of 48/60: 0.8
Trigonometric Functions
- Sine of 48/60: 0.71735609089952
- Cosine of 48/60: 0.69670670934717
- Tangent of 48/60: 1.0296385570504
Exponential and Logarithmic Functions
- e^48/60: 2.2255409284925
- Natural log of 48/60: -0.22314355131421
Floor and Ceiling Functions
- Floor of 48/60: 0
- Ceiling of 48/60: 1
Interesting Properties and Relationships
- The sum of 48/60 and its additive inverse (-48/60) is always 0.
- The product of 48/60 and its additive inverse is: -2304
- The average of 48/60 and its additive inverse is always 0.
- The distance between 48/60 and its additive inverse on a number line is: 96
Applications in Algebra
Consider the equation: x + 48/60 = 0
The solution to this equation is x = -48/60, which is the additive inverse of 48/60.
Graphical Representation
On a coordinate plane:
- The point (48/60, 0) is reflected across the y-axis to (-48/60, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 48/60 and Its Additive Inverse
Consider the alternating series: 48/60 + (-48/60) + 48/60 + (-48/60) + ...
The sum of this series oscillates between 0 and 48/60, never converging unless 48/60 is 0.
In Number Theory
For integer values:
- If 48/60 is even, its additive inverse is also even.
- If 48/60 is odd, its additive inverse is also odd.
- The sum of the digits of 48/60 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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