48/50 Additive Inverse :
The additive inverse of 48/50 is -48/50.
This means that when we add 48/50 and -48/50, the result is zero:
48/50 + (-48/50) = 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: 48/50
- Additive inverse: -48/50
To verify: 48/50 + (-48/50) = 0
Extended Mathematical Exploration of 48/50
Let's explore various mathematical operations and concepts related to 48/50 and its additive inverse -48/50.
Basic Operations and Properties
- Square of 48/50: 0.9216
- Cube of 48/50: 0.884736
- Square root of |48/50|: 0.97979589711327
- Reciprocal of 48/50: 1.0416666666667
- Double of 48/50: 1.92
- Half of 48/50: 0.48
- Absolute value of 48/50: 0.96
Trigonometric Functions
- Sine of 48/50: 0.819191568301
- Cosine of 48/50: 0.57351998607246
- Tangent of 48/50: 1.4283574909236
Exponential and Logarithmic Functions
- e^48/50: 2.6116964734231
- Natural log of 48/50: -0.040821994520255
Floor and Ceiling Functions
- Floor of 48/50: 0
- Ceiling of 48/50: 1
Interesting Properties and Relationships
- The sum of 48/50 and its additive inverse (-48/50) is always 0.
- The product of 48/50 and its additive inverse is: -2304
- The average of 48/50 and its additive inverse is always 0.
- The distance between 48/50 and its additive inverse on a number line is: 96
Applications in Algebra
Consider the equation: x + 48/50 = 0
The solution to this equation is x = -48/50, which is the additive inverse of 48/50.
Graphical Representation
On a coordinate plane:
- The point (48/50, 0) is reflected across the y-axis to (-48/50, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 48/50 and Its Additive Inverse
Consider the alternating series: 48/50 + (-48/50) + 48/50 + (-48/50) + ...
The sum of this series oscillates between 0 and 48/50, never converging unless 48/50 is 0.
In Number Theory
For integer values:
- If 48/50 is even, its additive inverse is also even.
- If 48/50 is odd, its additive inverse is also odd.
- The sum of the digits of 48/50 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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