73.98 Additive Inverse :

The additive inverse of 73.98 is -73.98.

This means that when we add 73.98 and -73.98, the result is zero:

73.98 + (-73.98) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 73.98
  • Additive inverse: -73.98

To verify: 73.98 + (-73.98) = 0

Extended Mathematical Exploration of 73.98

Let's explore various mathematical operations and concepts related to 73.98 and its additive inverse -73.98.

Basic Operations and Properties

  • Square of 73.98: 5473.0404
  • Cube of 73.98: 404895.528792
  • Square root of |73.98|: 8.6011627120989
  • Reciprocal of 73.98: 0.013517166801838
  • Double of 73.98: 147.96
  • Half of 73.98: 36.99
  • Absolute value of 73.98: 73.98

Trigonometric Functions

  • Sine of 73.98: -0.98838335566845
  • Cosine of 73.98: 0.15198138779989
  • Tangent of 73.98: -6.5033183995516

Exponential and Logarithmic Functions

  • e^73.98: 1.3461881744874E+32
  • Natural log of 73.98: 4.3037947864043

Floor and Ceiling Functions

  • Floor of 73.98: 73
  • Ceiling of 73.98: 74

Interesting Properties and Relationships

  • The sum of 73.98 and its additive inverse (-73.98) is always 0.
  • The product of 73.98 and its additive inverse is: -5473.0404
  • The average of 73.98 and its additive inverse is always 0.
  • The distance between 73.98 and its additive inverse on a number line is: 147.96

Applications in Algebra

Consider the equation: x + 73.98 = 0

The solution to this equation is x = -73.98, which is the additive inverse of 73.98.

Graphical Representation

On a coordinate plane:

  • The point (73.98, 0) is reflected across the y-axis to (-73.98, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 73.98 and Its Additive Inverse

Consider the alternating series: 73.98 + (-73.98) + 73.98 + (-73.98) + ...

The sum of this series oscillates between 0 and 73.98, never converging unless 73.98 is 0.

In Number Theory

For integer values:

  • If 73.98 is even, its additive inverse is also even.
  • If 73.98 is odd, its additive inverse is also odd.
  • The sum of the digits of 73.98 and its additive inverse may or may not be the same.

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