64/73 Additive Inverse :

The additive inverse of 64/73 is -64/73.

This means that when we add 64/73 and -64/73, the result is zero:

64/73 + (-64/73) = 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: 64/73
  • Additive inverse: -64/73

To verify: 64/73 + (-64/73) = 0

Extended Mathematical Exploration of 64/73

Let's explore various mathematical operations and concepts related to 64/73 and its additive inverse -64/73.

Basic Operations and Properties

  • Square of 64/73: 0.76862450741227
  • Cube of 64/73: 0.6738625818409
  • Square root of |64/73|: 0.93632917756904
  • Reciprocal of 64/73: 1.140625
  • Double of 64/73: 1.7534246575342
  • Half of 64/73: 0.43835616438356
  • Absolute value of 64/73: 0.87671232876712

Trigonometric Functions

  • Sine of 64/73: 0.76863997381423
  • Cosine of 64/73: 0.63968163226315
  • Tangent of 64/73: 1.2015976933632

Exponential and Logarithmic Functions

  • e^64/73: 2.4029864759848
  • Natural log of 64/73: -0.13157635778872

Floor and Ceiling Functions

  • Floor of 64/73: 0
  • Ceiling of 64/73: 1

Interesting Properties and Relationships

  • The sum of 64/73 and its additive inverse (-64/73) is always 0.
  • The product of 64/73 and its additive inverse is: -4096
  • The average of 64/73 and its additive inverse is always 0.
  • The distance between 64/73 and its additive inverse on a number line is: 128

Applications in Algebra

Consider the equation: x + 64/73 = 0

The solution to this equation is x = -64/73, which is the additive inverse of 64/73.

Graphical Representation

On a coordinate plane:

  • The point (64/73, 0) is reflected across the y-axis to (-64/73, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 64/73 and Its Additive Inverse

Consider the alternating series: 64/73 + (-64/73) + 64/73 + (-64/73) + ...

The sum of this series oscillates between 0 and 64/73, never converging unless 64/73 is 0.

In Number Theory

For integer values:

  • If 64/73 is even, its additive inverse is also even.
  • If 64/73 is odd, its additive inverse is also odd.
  • The sum of the digits of 64/73 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:

AdditiveInverse.net - Exploring the world of mathematical opposites

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AdditiveInverse.net