46/47 Additive Inverse :
The additive inverse of 46/47 is -46/47.
This means that when we add 46/47 and -46/47, the result is zero:
46/47 + (-46/47) = 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: 46/47
- Additive inverse: -46/47
To verify: 46/47 + (-46/47) = 0
Extended Mathematical Exploration of 46/47
Let's explore various mathematical operations and concepts related to 46/47 and its additive inverse -46/47.
Basic Operations and Properties
- Square of 46/47: 0.95789950203712
- Cube of 46/47: 0.93751866156825
- Square root of |46/47|: 0.98930450532448
- Reciprocal of 46/47: 1.0217391304348
- Double of 46/47: 1.9574468085106
- Half of 46/47: 0.48936170212766
- Absolute value of 46/47: 0.97872340425532
Trigonometric Functions
- Sine of 46/47: 0.8297856013429
- Cosine of 46/47: 0.55808230199855
- Tangent of 46/47: 1.4868516675253
Exponential and Logarithmic Functions
- e^46/47: 2.6610569786333
- Natural log of 46/47: -0.021506205220964
Floor and Ceiling Functions
- Floor of 46/47: 0
- Ceiling of 46/47: 1
Interesting Properties and Relationships
- The sum of 46/47 and its additive inverse (-46/47) is always 0.
- The product of 46/47 and its additive inverse is: -2116
- The average of 46/47 and its additive inverse is always 0.
- The distance between 46/47 and its additive inverse on a number line is: 92
Applications in Algebra
Consider the equation: x + 46/47 = 0
The solution to this equation is x = -46/47, which is the additive inverse of 46/47.
Graphical Representation
On a coordinate plane:
- The point (46/47, 0) is reflected across the y-axis to (-46/47, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 46/47 and Its Additive Inverse
Consider the alternating series: 46/47 + (-46/47) + 46/47 + (-46/47) + ...
The sum of this series oscillates between 0 and 46/47, never converging unless 46/47 is 0.
In Number Theory
For integer values:
- If 46/47 is even, its additive inverse is also even.
- If 46/47 is odd, its additive inverse is also odd.
- The sum of the digits of 46/47 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: