74.29 Additive Inverse :

The additive inverse of 74.29 is -74.29.

This means that when we add 74.29 and -74.29, the result is zero:

74.29 + (-74.29) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 74.29
  • Additive inverse: -74.29

To verify: 74.29 + (-74.29) = 0

Extended Mathematical Exploration of 74.29

Let's explore various mathematical operations and concepts related to 74.29 and its additive inverse -74.29.

Basic Operations and Properties

  • Square of 74.29: 5519.0041
  • Cube of 74.29: 410006.814589
  • Square root of |74.29|: 8.6191646927066
  • Reciprocal of 74.29: 0.013460761879122
  • Double of 74.29: 148.58
  • Half of 74.29: 37.145
  • Absolute value of 74.29: 74.29

Trigonometric Functions

  • Sine of 74.29: -0.89490741459233
  • Cosine of 74.29: 0.44625185636327
  • Tangent of 74.29: -2.005386424351

Exponential and Logarithmic Functions

  • e^74.29: 1.8354267654438E+32
  • Natural log of 74.29: 4.3079763531637

Floor and Ceiling Functions

  • Floor of 74.29: 74
  • Ceiling of 74.29: 75

Interesting Properties and Relationships

  • The sum of 74.29 and its additive inverse (-74.29) is always 0.
  • The product of 74.29 and its additive inverse is: -5519.0041
  • The average of 74.29 and its additive inverse is always 0.
  • The distance between 74.29 and its additive inverse on a number line is: 148.58

Applications in Algebra

Consider the equation: x + 74.29 = 0

The solution to this equation is x = -74.29, which is the additive inverse of 74.29.

Graphical Representation

On a coordinate plane:

  • The point (74.29, 0) is reflected across the y-axis to (-74.29, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 74.29 and Its Additive Inverse

Consider the alternating series: 74.29 + (-74.29) + 74.29 + (-74.29) + ...

The sum of this series oscillates between 0 and 74.29, never converging unless 74.29 is 0.

In Number Theory

For integer values:

  • If 74.29 is even, its additive inverse is also even.
  • If 74.29 is odd, its additive inverse is also odd.
  • The sum of the digits of 74.29 and its additive inverse may or may not be the same.

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