87.31 Additive Inverse :

The additive inverse of 87.31 is -87.31.

This means that when we add 87.31 and -87.31, the result is zero:

87.31 + (-87.31) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 87.31
  • Additive inverse: -87.31

To verify: 87.31 + (-87.31) = 0

Extended Mathematical Exploration of 87.31

Let's explore various mathematical operations and concepts related to 87.31 and its additive inverse -87.31.

Basic Operations and Properties

  • Square of 87.31: 7623.0361
  • Cube of 87.31: 665567.281891
  • Square root of |87.31|: 9.3439820205306
  • Reciprocal of 87.31: 0.011453441759249
  • Double of 87.31: 174.62
  • Half of 87.31: 43.655
  • Absolute value of 87.31: 87.31

Trigonometric Functions

  • Sine of 87.31: -0.60883745407021
  • Cosine of 87.31: 0.79329499842196
  • Tangent of 87.31: -0.7674792546043

Exponential and Logarithmic Functions

  • e^87.31: 8.2842122030687E+37
  • Natural log of 87.31: 4.4694650038227

Floor and Ceiling Functions

  • Floor of 87.31: 87
  • Ceiling of 87.31: 88

Interesting Properties and Relationships

  • The sum of 87.31 and its additive inverse (-87.31) is always 0.
  • The product of 87.31 and its additive inverse is: -7623.0361
  • The average of 87.31 and its additive inverse is always 0.
  • The distance between 87.31 and its additive inverse on a number line is: 174.62

Applications in Algebra

Consider the equation: x + 87.31 = 0

The solution to this equation is x = -87.31, which is the additive inverse of 87.31.

Graphical Representation

On a coordinate plane:

  • The point (87.31, 0) is reflected across the y-axis to (-87.31, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 87.31 and Its Additive Inverse

Consider the alternating series: 87.31 + (-87.31) + 87.31 + (-87.31) + ...

The sum of this series oscillates between 0 and 87.31, never converging unless 87.31 is 0.

In Number Theory

For integer values:

  • If 87.31 is even, its additive inverse is also even.
  • If 87.31 is odd, its additive inverse is also odd.
  • The sum of the digits of 87.31 and its additive inverse may or may not be the same.

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