84.988 Additive Inverse :

The additive inverse of 84.988 is -84.988.

This means that when we add 84.988 and -84.988, the result is zero:

84.988 + (-84.988) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 84.988
  • Additive inverse: -84.988

To verify: 84.988 + (-84.988) = 0

Extended Mathematical Exploration of 84.988

Let's explore various mathematical operations and concepts related to 84.988 and its additive inverse -84.988.

Basic Operations and Properties

  • Square of 84.988: 7222.960144
  • Cube of 84.988: 613864.93671827
  • Square root of |84.988|: 9.2188936429487
  • Reciprocal of 84.988: 0.01176636701652
  • Double of 84.988: 169.976
  • Half of 84.988: 42.494
  • Absolute value of 84.988: 84.988

Trigonometric Functions

  • Sine of 84.988: -0.16425070643378
  • Cosine of 84.988: -0.98641862585618
  • Tangent of 84.988: 0.16651217052113

Exponential and Logarithmic Functions

  • e^84.988: 8.1249262578229E+36
  • Natural log of 84.988: 4.4425100700534

Floor and Ceiling Functions

  • Floor of 84.988: 84
  • Ceiling of 84.988: 85

Interesting Properties and Relationships

  • The sum of 84.988 and its additive inverse (-84.988) is always 0.
  • The product of 84.988 and its additive inverse is: -7222.960144
  • The average of 84.988 and its additive inverse is always 0.
  • The distance between 84.988 and its additive inverse on a number line is: 169.976

Applications in Algebra

Consider the equation: x + 84.988 = 0

The solution to this equation is x = -84.988, which is the additive inverse of 84.988.

Graphical Representation

On a coordinate plane:

  • The point (84.988, 0) is reflected across the y-axis to (-84.988, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 84.988 and Its Additive Inverse

Consider the alternating series: 84.988 + (-84.988) + 84.988 + (-84.988) + ...

The sum of this series oscillates between 0 and 84.988, never converging unless 84.988 is 0.

In Number Theory

For integer values:

  • If 84.988 is even, its additive inverse is also even.
  • If 84.988 is odd, its additive inverse is also odd.
  • The sum of the digits of 84.988 and its additive inverse may or may not be the same.

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