74.505 Additive Inverse :

The additive inverse of 74.505 is -74.505.

This means that when we add 74.505 and -74.505, the result is zero:

74.505 + (-74.505) = 0

Additive Inverse of a Decimal Number

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

  • Original number: 74.505
  • Additive inverse: -74.505

To verify: 74.505 + (-74.505) = 0

Extended Mathematical Exploration of 74.505

Let's explore various mathematical operations and concepts related to 74.505 and its additive inverse -74.505.

Basic Operations and Properties

  • Square of 74.505: 5550.995025
  • Cube of 74.505: 413576.88433762
  • Square root of |74.505|: 8.6316278881796
  • Reciprocal of 74.505: 0.013421917992081
  • Double of 74.505: 149.01
  • Half of 74.505: 37.2525
  • Absolute value of 74.505: 74.505

Trigonometric Functions

  • Sine of 74.505: -0.77909673312786
  • Cosine of 74.505: 0.62690372500848
  • Tangent of 74.505: -1.2427693472667

Exponential and Logarithmic Functions

  • e^74.505: 2.2756757111454E+32
  • Natural log of 74.505: 4.3108662372274

Floor and Ceiling Functions

  • Floor of 74.505: 74
  • Ceiling of 74.505: 75

Interesting Properties and Relationships

  • The sum of 74.505 and its additive inverse (-74.505) is always 0.
  • The product of 74.505 and its additive inverse is: -5550.995025
  • The average of 74.505 and its additive inverse is always 0.
  • The distance between 74.505 and its additive inverse on a number line is: 149.01

Applications in Algebra

Consider the equation: x + 74.505 = 0

The solution to this equation is x = -74.505, which is the additive inverse of 74.505.

Graphical Representation

On a coordinate plane:

  • The point (74.505, 0) is reflected across the y-axis to (-74.505, 0).
  • The midpoint between these two points is always (0, 0).

Series Involving 74.505 and Its Additive Inverse

Consider the alternating series: 74.505 + (-74.505) + 74.505 + (-74.505) + ...

The sum of this series oscillates between 0 and 74.505, never converging unless 74.505 is 0.

In Number Theory

For integer values:

  • If 74.505 is even, its additive inverse is also even.
  • If 74.505 is odd, its additive inverse is also odd.
  • The sum of the digits of 74.505 and its additive inverse may or may not be the same.

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