46.84 Additive Inverse :

The additive inverse of 46.84 is -46.84.

This means that when we add 46.84 and -46.84, the result is zero:

46.84 + (-46.84) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 46.84
  • Additive inverse: -46.84

To verify: 46.84 + (-46.84) = 0

Extended Mathematical Exploration of 46.84

Let's explore various mathematical operations and concepts related to 46.84 and its additive inverse -46.84.

Basic Operations and Properties

  • Square of 46.84: 2193.9856
  • Cube of 46.84: 102766.285504
  • Square root of |46.84|: 6.8439754529075
  • Reciprocal of 46.84: 0.02134927412468
  • Double of 46.84: 93.68
  • Half of 46.84: 23.42
  • Absolute value of 46.84: 46.84

Trigonometric Functions

  • Sine of 46.84: 0.28009186557084
  • Cosine of 46.84: -0.95997320110566
  • Tangent of 46.84: -0.29177050489351

Exponential and Logarithmic Functions

  • e^46.84: 2.1996497433453E+20
  • Natural log of 46.84: 3.8467375387295

Floor and Ceiling Functions

  • Floor of 46.84: 46
  • Ceiling of 46.84: 47

Interesting Properties and Relationships

  • The sum of 46.84 and its additive inverse (-46.84) is always 0.
  • The product of 46.84 and its additive inverse is: -2193.9856
  • The average of 46.84 and its additive inverse is always 0.
  • The distance between 46.84 and its additive inverse on a number line is: 93.68

Applications in Algebra

Consider the equation: x + 46.84 = 0

The solution to this equation is x = -46.84, which is the additive inverse of 46.84.

Graphical Representation

On a coordinate plane:

  • The point (46.84, 0) is reflected across the y-axis to (-46.84, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 46.84 and Its Additive Inverse

Consider the alternating series: 46.84 + (-46.84) + 46.84 + (-46.84) + ...

The sum of this series oscillates between 0 and 46.84, never converging unless 46.84 is 0.

In Number Theory

For integer values:

  • If 46.84 is even, its additive inverse is also even.
  • If 46.84 is odd, its additive inverse is also odd.
  • The sum of the digits of 46.84 and its additive inverse may or may not be the same.

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