55.48 Additive Inverse :

The additive inverse of 55.48 is -55.48.

This means that when we add 55.48 and -55.48, the result is zero:

55.48 + (-55.48) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 55.48
  • Additive inverse: -55.48

To verify: 55.48 + (-55.48) = 0

Extended Mathematical Exploration of 55.48

Let's explore various mathematical operations and concepts related to 55.48 and its additive inverse -55.48.

Basic Operations and Properties

  • Square of 55.48: 3078.0304
  • Cube of 55.48: 170769.126592
  • Square root of |55.48|: 7.4484897798144
  • Reciprocal of 55.48: 0.01802451333814
  • Double of 55.48: 110.96
  • Half of 55.48: 27.74
  • Absolute value of 55.48: 55.48

Trigonometric Functions

  • Sine of 55.48: -0.87656008752737
  • Cosine of 55.48: 0.4812924401588
  • Tangent of 55.48: -1.8212629461584

Exponential and Logarithmic Functions

  • e^55.48: 1.2435345497367E+24
  • Natural log of 55.48: 4.0160225954466

Floor and Ceiling Functions

  • Floor of 55.48: 55
  • Ceiling of 55.48: 56

Interesting Properties and Relationships

  • The sum of 55.48 and its additive inverse (-55.48) is always 0.
  • The product of 55.48 and its additive inverse is: -3078.0304
  • The average of 55.48 and its additive inverse is always 0.
  • The distance between 55.48 and its additive inverse on a number line is: 110.96

Applications in Algebra

Consider the equation: x + 55.48 = 0

The solution to this equation is x = -55.48, which is the additive inverse of 55.48.

Graphical Representation

On a coordinate plane:

  • The point (55.48, 0) is reflected across the y-axis to (-55.48, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 55.48 and Its Additive Inverse

Consider the alternating series: 55.48 + (-55.48) + 55.48 + (-55.48) + ...

The sum of this series oscillates between 0 and 55.48, never converging unless 55.48 is 0.

In Number Theory

For integer values:

  • If 55.48 is even, its additive inverse is also even.
  • If 55.48 is odd, its additive inverse is also odd.
  • The sum of the digits of 55.48 and its additive inverse may or may not be the same.

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