87.43 Additive Inverse :

The additive inverse of 87.43 is -87.43.

This means that when we add 87.43 and -87.43, the result is zero:

87.43 + (-87.43) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 87.43
  • Additive inverse: -87.43

To verify: 87.43 + (-87.43) = 0

Extended Mathematical Exploration of 87.43

Let's explore various mathematical operations and concepts related to 87.43 and its additive inverse -87.43.

Basic Operations and Properties

  • Square of 87.43: 7644.0049
  • Cube of 87.43: 668315.348407
  • Square root of |87.43|: 9.3504010609171
  • Reciprocal of 87.43: 0.011437721605856
  • Double of 87.43: 174.86
  • Half of 87.43: 43.715
  • Absolute value of 87.43: 87.43

Trigonometric Functions

  • Sine of 87.43: -0.50949198693983
  • Cosine of 87.43: 0.86047540071992
  • Tangent of 87.43: -0.59210523219323

Exponential and Logarithmic Functions

  • e^87.43: 9.3404231767755E+37
  • Natural log of 87.43: 4.4708384731928

Floor and Ceiling Functions

  • Floor of 87.43: 87
  • Ceiling of 87.43: 88

Interesting Properties and Relationships

  • The sum of 87.43 and its additive inverse (-87.43) is always 0.
  • The product of 87.43 and its additive inverse is: -7644.0049
  • The average of 87.43 and its additive inverse is always 0.
  • The distance between 87.43 and its additive inverse on a number line is: 174.86

Applications in Algebra

Consider the equation: x + 87.43 = 0

The solution to this equation is x = -87.43, which is the additive inverse of 87.43.

Graphical Representation

On a coordinate plane:

  • The point (87.43, 0) is reflected across the y-axis to (-87.43, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 87.43 and Its Additive Inverse

Consider the alternating series: 87.43 + (-87.43) + 87.43 + (-87.43) + ...

The sum of this series oscillates between 0 and 87.43, never converging unless 87.43 is 0.

In Number Theory

For integer values:

  • If 87.43 is even, its additive inverse is also even.
  • If 87.43 is odd, its additive inverse is also odd.
  • The sum of the digits of 87.43 and its additive inverse may or may not be the same.

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