74.135 Additive Inverse :
The additive inverse of 74.135 is -74.135.
This means that when we add 74.135 and -74.135, the result is zero:
74.135 + (-74.135) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.135
- Additive inverse: -74.135
To verify: 74.135 + (-74.135) = 0
Extended Mathematical Exploration of 74.135
Let's explore various mathematical operations and concepts related to 74.135 and its additive inverse -74.135.
Basic Operations and Properties
- Square of 74.135: 5495.998225
- Cube of 74.135: 407445.82841038
- Square root of |74.135|: 8.61016840718
- Reciprocal of 74.135: 0.013488905375329
- Double of 74.135: 148.27
- Half of 74.135: 37.0675
- Absolute value of 74.135: 74.135
Trigonometric Functions
- Sine of 74.135: -0.95307125048681
- Cosine of 74.135: 0.30274608419518
- Tangent of 74.135: -3.1480877878915
Exponential and Logarithmic Functions
- e^74.135: 1.5718873390857E+32
- Natural log of 74.135: 4.30588775547
Floor and Ceiling Functions
- Floor of 74.135: 74
- Ceiling of 74.135: 75
Interesting Properties and Relationships
- The sum of 74.135 and its additive inverse (-74.135) is always 0.
- The product of 74.135 and its additive inverse is: -5495.998225
- The average of 74.135 and its additive inverse is always 0.
- The distance between 74.135 and its additive inverse on a number line is: 148.27
Applications in Algebra
Consider the equation: x + 74.135 = 0
The solution to this equation is x = -74.135, which is the additive inverse of 74.135.
Graphical Representation
On a coordinate plane:
- The point (74.135, 0) is reflected across the y-axis to (-74.135, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.135 and Its Additive Inverse
Consider the alternating series: 74.135 + (-74.135) + 74.135 + (-74.135) + ...
The sum of this series oscillates between 0 and 74.135, never converging unless 74.135 is 0.
In Number Theory
For integer values:
- If 74.135 is even, its additive inverse is also even.
- If 74.135 is odd, its additive inverse is also odd.
- The sum of the digits of 74.135 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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