35/43 Additive Inverse :
The additive inverse of 35/43 is -35/43.
This means that when we add 35/43 and -35/43, the result is zero:
35/43 + (-35/43) = 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: 35/43
- Additive inverse: -35/43
To verify: 35/43 + (-35/43) = 0
Extended Mathematical Exploration of 35/43
Let's explore various mathematical operations and concepts related to 35/43 and its additive inverse -35/43.
Basic Operations and Properties
- Square of 35/43: 0.6625202812331
- Cube of 35/43: 0.53926069402694
- Square root of |35/43|: 0.90219370889632
- Reciprocal of 35/43: 1.2285714285714
- Double of 35/43: 1.6279069767442
- Half of 35/43: 0.40697674418605
- Absolute value of 35/43: 0.81395348837209
Trigonometric Functions
- Sine of 35/43: 0.72700743098398
- Cosine of 35/43: 0.68662959104169
- Tangent of 35/43: 1.0588058546691
Exponential and Logarithmic Functions
- e^35/43: 2.2568126554171
- Natural log of 35/43: -0.20585205420415
Floor and Ceiling Functions
- Floor of 35/43: 0
- Ceiling of 35/43: 1
Interesting Properties and Relationships
- The sum of 35/43 and its additive inverse (-35/43) is always 0.
- The product of 35/43 and its additive inverse is: -1225
- The average of 35/43 and its additive inverse is always 0.
- The distance between 35/43 and its additive inverse on a number line is: 70
Applications in Algebra
Consider the equation: x + 35/43 = 0
The solution to this equation is x = -35/43, which is the additive inverse of 35/43.
Graphical Representation
On a coordinate plane:
- The point (35/43, 0) is reflected across the y-axis to (-35/43, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 35/43 and Its Additive Inverse
Consider the alternating series: 35/43 + (-35/43) + 35/43 + (-35/43) + ...
The sum of this series oscillates between 0 and 35/43, never converging unless 35/43 is 0.
In Number Theory
For integer values:
- If 35/43 is even, its additive inverse is also even.
- If 35/43 is odd, its additive inverse is also odd.
- The sum of the digits of 35/43 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: