79.48 Additive Inverse :

The additive inverse of 79.48 is -79.48.

This means that when we add 79.48 and -79.48, the result is zero:

79.48 + (-79.48) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 79.48
  • Additive inverse: -79.48

To verify: 79.48 + (-79.48) = 0

Extended Mathematical Exploration of 79.48

Let's explore various mathematical operations and concepts related to 79.48 and its additive inverse -79.48.

Basic Operations and Properties

  • Square of 79.48: 6317.0704
  • Cube of 79.48: 502080.755392
  • Square root of |79.48|: 8.9151556352091
  • Reciprocal of 79.48: 0.012581781580272
  • Double of 79.48: 158.96
  • Half of 79.48: 39.74
  • Absolute value of 79.48: 79.48

Trigonometric Functions

  • Sine of 79.48: -0.80766640740377
  • Cosine of 79.48: -0.58963969875805
  • Tangent of 79.48: 1.3697626009662

Exponential and Logarithmic Functions

  • e^79.48: 3.2940138560656E+34
  • Natural log of 79.48: 4.3755054176836

Floor and Ceiling Functions

  • Floor of 79.48: 79
  • Ceiling of 79.48: 80

Interesting Properties and Relationships

  • The sum of 79.48 and its additive inverse (-79.48) is always 0.
  • The product of 79.48 and its additive inverse is: -6317.0704
  • The average of 79.48 and its additive inverse is always 0.
  • The distance between 79.48 and its additive inverse on a number line is: 158.96

Applications in Algebra

Consider the equation: x + 79.48 = 0

The solution to this equation is x = -79.48, which is the additive inverse of 79.48.

Graphical Representation

On a coordinate plane:

  • The point (79.48, 0) is reflected across the y-axis to (-79.48, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 79.48 and Its Additive Inverse

Consider the alternating series: 79.48 + (-79.48) + 79.48 + (-79.48) + ...

The sum of this series oscillates between 0 and 79.48, never converging unless 79.48 is 0.

In Number Theory

For integer values:

  • If 79.48 is even, its additive inverse is also even.
  • If 79.48 is odd, its additive inverse is also odd.
  • The sum of the digits of 79.48 and its additive inverse may or may not be the same.

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