74.155 Additive Inverse :
The additive inverse of 74.155 is -74.155.
This means that when we add 74.155 and -74.155, the result is zero:
74.155 + (-74.155) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.155
- Additive inverse: -74.155
To verify: 74.155 + (-74.155) = 0
Extended Mathematical Exploration of 74.155
Let's explore various mathematical operations and concepts related to 74.155 and its additive inverse -74.155.
Basic Operations and Properties
- Square of 74.155: 5498.964025
- Cube of 74.155: 407775.67727388
- Square root of |74.155|: 8.6113297463284
- Reciprocal of 74.155: 0.013485267345425
- Double of 74.155: 148.31
- Half of 74.155: 37.0775
- Absolute value of 74.155: 74.155
Trigonometric Functions
- Sine of 74.155: -0.9468261245599
- Cosine of 74.155: 0.3217456912701
- Tangent of 74.155: -2.9427779462167
Exponential and Logarithmic Functions
- e^74.155: 1.6036415697064E+32
- Natural log of 74.155: 4.3061574971939
Floor and Ceiling Functions
- Floor of 74.155: 74
- Ceiling of 74.155: 75
Interesting Properties and Relationships
- The sum of 74.155 and its additive inverse (-74.155) is always 0.
- The product of 74.155 and its additive inverse is: -5498.964025
- The average of 74.155 and its additive inverse is always 0.
- The distance between 74.155 and its additive inverse on a number line is: 148.31
Applications in Algebra
Consider the equation: x + 74.155 = 0
The solution to this equation is x = -74.155, which is the additive inverse of 74.155.
Graphical Representation
On a coordinate plane:
- The point (74.155, 0) is reflected across the y-axis to (-74.155, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.155 and Its Additive Inverse
Consider the alternating series: 74.155 + (-74.155) + 74.155 + (-74.155) + ...
The sum of this series oscillates between 0 and 74.155, never converging unless 74.155 is 0.
In Number Theory
For integer values:
- If 74.155 is even, its additive inverse is also even.
- If 74.155 is odd, its additive inverse is also odd.
- The sum of the digits of 74.155 and its additive inverse may or may not be the same.
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