46/48 Additive Inverse :
The additive inverse of 46/48 is -46/48.
This means that when we add 46/48 and -46/48, the result is zero:
46/48 + (-46/48) = 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: 46/48
- Additive inverse: -46/48
To verify: 46/48 + (-46/48) = 0
Extended Mathematical Exploration of 46/48
Let's explore various mathematical operations and concepts related to 46/48 and its additive inverse -46/48.
Basic Operations and Properties
- Square of 46/48: 0.91840277777778
- Cube of 46/48: 0.88013599537037
- Square root of |46/48|: 0.97894501037256
- Reciprocal of 46/48: 1.0434782608696
- Double of 46/48: 1.9166666666667
- Half of 46/48: 0.47916666666667
- Absolute value of 46/48: 0.95833333333333
Trigonometric Functions
- Sine of 46/48: 0.81823456433427
- Cosine of 46/48: 0.57488450816551
- Tangent of 46/48: 1.4233025115693
Exponential and Logarithmic Functions
- e^46/48: 2.6073472713093
- Natural log of 46/48: -0.042559614418796
Floor and Ceiling Functions
- Floor of 46/48: 0
- Ceiling of 46/48: 1
Interesting Properties and Relationships
- The sum of 46/48 and its additive inverse (-46/48) is always 0.
- The product of 46/48 and its additive inverse is: -2116
- The average of 46/48 and its additive inverse is always 0.
- The distance between 46/48 and its additive inverse on a number line is: 92
Applications in Algebra
Consider the equation: x + 46/48 = 0
The solution to this equation is x = -46/48, which is the additive inverse of 46/48.
Graphical Representation
On a coordinate plane:
- The point (46/48, 0) is reflected across the y-axis to (-46/48, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 46/48 and Its Additive Inverse
Consider the alternating series: 46/48 + (-46/48) + 46/48 + (-46/48) + ...
The sum of this series oscillates between 0 and 46/48, never converging unless 46/48 is 0.
In Number Theory
For integer values:
- If 46/48 is even, its additive inverse is also even.
- If 46/48 is odd, its additive inverse is also odd.
- The sum of the digits of 46/48 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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