74.424 Additive Inverse :

The additive inverse of 74.424 is -74.424.

This means that when we add 74.424 and -74.424, the result is zero:

74.424 + (-74.424) = 0

Additive Inverse of a Decimal Number

For decimal numbers, we simply change the sign of the number:

  • Original number: 74.424
  • Additive inverse: -74.424

To verify: 74.424 + (-74.424) = 0

Extended Mathematical Exploration of 74.424

Let's explore various mathematical operations and concepts related to 74.424 and its additive inverse -74.424.

Basic Operations and Properties

  • Square of 74.424: 5538.931776
  • Cube of 74.424: 412229.45849702
  • Square root of |74.424|: 8.6269345656496
  • Reciprocal of 74.424: 0.013436525851876
  • Double of 74.424: 148.848
  • Half of 74.424: 37.212
  • Absolute value of 74.424: 74.424

Trigonometric Functions

  • Sine of 74.424: -0.82726599626897
  • Cosine of 74.424: 0.56181044082244
  • Tangent of 74.424: -1.4725002174362

Exponential and Logarithmic Functions

  • e^74.424: 2.0986137845921E+32
  • Natural log of 74.424: 4.3097784704663

Floor and Ceiling Functions

  • Floor of 74.424: 74
  • Ceiling of 74.424: 75

Interesting Properties and Relationships

  • The sum of 74.424 and its additive inverse (-74.424) is always 0.
  • The product of 74.424 and its additive inverse is: -5538.931776
  • The average of 74.424 and its additive inverse is always 0.
  • The distance between 74.424 and its additive inverse on a number line is: 148.848

Applications in Algebra

Consider the equation: x + 74.424 = 0

The solution to this equation is x = -74.424, which is the additive inverse of 74.424.

Graphical Representation

On a coordinate plane:

  • The point (74.424, 0) is reflected across the y-axis to (-74.424, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 74.424 and Its Additive Inverse

Consider the alternating series: 74.424 + (-74.424) + 74.424 + (-74.424) + ...

The sum of this series oscillates between 0 and 74.424, never converging unless 74.424 is 0.

In Number Theory

For integer values:

  • If 74.424 is even, its additive inverse is also even.
  • If 74.424 is odd, its additive inverse is also odd.
  • The sum of the digits of 74.424 and its additive inverse may or may not be the same.

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