26/35 Additive Inverse :

The additive inverse of 26/35 is -26/35.

This means that when we add 26/35 and -26/35, the result is zero:

26/35 + (-26/35) = 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: 26/35
  • Additive inverse: -26/35

To verify: 26/35 + (-26/35) = 0

Extended Mathematical Exploration of 26/35

Let's explore various mathematical operations and concepts related to 26/35 and its additive inverse -26/35.

Basic Operations and Properties

  • Square of 26/35: 0.55183673469388
  • Cube of 26/35: 0.40993586005831
  • Square root of |26/35|: 0.86189160737133
  • Reciprocal of 26/35: 1.3461538461538
  • Double of 26/35: 1.4857142857143
  • Half of 26/35: 0.37142857142857
  • Absolute value of 26/35: 0.74285714285714

Trigonometric Functions

  • Sine of 26/35: 0.67639506673163
  • Cosine of 26/35: 0.73653901030503
  • Tangent of 26/35: 0.91834248731987

Exponential and Logarithmic Functions

  • e^26/35: 2.1019324646708
  • Natural log of 26/35: -0.29725152346793

Floor and Ceiling Functions

  • Floor of 26/35: 0
  • Ceiling of 26/35: 1

Interesting Properties and Relationships

  • The sum of 26/35 and its additive inverse (-26/35) is always 0.
  • The product of 26/35 and its additive inverse is: -676
  • The average of 26/35 and its additive inverse is always 0.
  • The distance between 26/35 and its additive inverse on a number line is: 52

Applications in Algebra

Consider the equation: x + 26/35 = 0

The solution to this equation is x = -26/35, which is the additive inverse of 26/35.

Graphical Representation

On a coordinate plane:

  • The point (26/35, 0) is reflected across the y-axis to (-26/35, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 26/35 and Its Additive Inverse

Consider the alternating series: 26/35 + (-26/35) + 26/35 + (-26/35) + ...

The sum of this series oscillates between 0 and 26/35, never converging unless 26/35 is 0.

In Number Theory

For integer values:

  • If 26/35 is even, its additive inverse is also even.
  • If 26/35 is odd, its additive inverse is also odd.
  • The sum of the digits of 26/35 and its additive inverse may or may not be the same.

Interactive Additive Inverse Calculator

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