15/26 Additive Inverse :

The additive inverse of 15/26 is -15/26.

This means that when we add 15/26 and -15/26, the result is zero:

15/26 + (-15/26) = 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: 15/26
  • Additive inverse: -15/26

To verify: 15/26 + (-15/26) = 0

Extended Mathematical Exploration of 15/26

Let's explore various mathematical operations and concepts related to 15/26 and its additive inverse -15/26.

Basic Operations and Properties

  • Square of 15/26: 0.33284023668639
  • Cube of 15/26: 0.19202321347292
  • Square root of |15/26|: 0.75955452531275
  • Reciprocal of 15/26: 1.7333333333333
  • Double of 15/26: 1.1538461538462
  • Half of 15/26: 0.28846153846154
  • Absolute value of 15/26: 0.57692307692308

Trigonometric Functions

  • Sine of 15/26: 0.54544761542837
  • Cosine of 15/26: 0.83814491516891
  • Tangent of 15/26: 0.65077960333202

Exponential and Logarithmic Functions

  • e^15/26: 1.7805513738413
  • Natural log of 15/26: -0.55004633691927

Floor and Ceiling Functions

  • Floor of 15/26: 0
  • Ceiling of 15/26: 1

Interesting Properties and Relationships

  • The sum of 15/26 and its additive inverse (-15/26) is always 0.
  • The product of 15/26 and its additive inverse is: -225
  • The average of 15/26 and its additive inverse is always 0.
  • The distance between 15/26 and its additive inverse on a number line is: 30

Applications in Algebra

Consider the equation: x + 15/26 = 0

The solution to this equation is x = -15/26, which is the additive inverse of 15/26.

Graphical Representation

On a coordinate plane:

  • The point (15/26, 0) is reflected across the y-axis to (-15/26, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 15/26 and Its Additive Inverse

Consider the alternating series: 15/26 + (-15/26) + 15/26 + (-15/26) + ...

The sum of this series oscillates between 0 and 15/26, never converging unless 15/26 is 0.

In Number Theory

For integer values:

  • If 15/26 is even, its additive inverse is also even.
  • If 15/26 is odd, its additive inverse is also odd.
  • The sum of the digits of 15/26 and its additive inverse may or may not be the same.

Interactive Additive Inverse Calculator

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