74.142 Additive Inverse :
The additive inverse of 74.142 is -74.142.
This means that when we add 74.142 and -74.142, the result is zero:
74.142 + (-74.142) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.142
- Additive inverse: -74.142
To verify: 74.142 + (-74.142) = 0
Extended Mathematical Exploration of 74.142
Let's explore various mathematical operations and concepts related to 74.142 and its additive inverse -74.142.
Basic Operations and Properties
- Square of 74.142: 5497.036164
- Cube of 74.142: 407561.25527129
- Square root of |74.142|: 8.610574893699
- Reciprocal of 74.142: 0.013487631841601
- Double of 74.142: 148.284
- Half of 74.142: 37.071
- Absolute value of 74.142: 74.142
Trigonometric Functions
- Sine of 74.142: -0.9509286950541
- Cosine of 74.142: 0.30941011121603
- Tangent of 74.142: -3.0733601152102
Exponential and Logarithmic Functions
- e^74.142: 1.5829291517162E+32
- Natural log of 74.142: 4.3059821733501
Floor and Ceiling Functions
- Floor of 74.142: 74
- Ceiling of 74.142: 75
Interesting Properties and Relationships
- The sum of 74.142 and its additive inverse (-74.142) is always 0.
- The product of 74.142 and its additive inverse is: -5497.036164
- The average of 74.142 and its additive inverse is always 0.
- The distance between 74.142 and its additive inverse on a number line is: 148.284
Applications in Algebra
Consider the equation: x + 74.142 = 0
The solution to this equation is x = -74.142, which is the additive inverse of 74.142.
Graphical Representation
On a coordinate plane:
- The point (74.142, 0) is reflected across the y-axis to (-74.142, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.142 and Its Additive Inverse
Consider the alternating series: 74.142 + (-74.142) + 74.142 + (-74.142) + ...
The sum of this series oscillates between 0 and 74.142, never converging unless 74.142 is 0.
In Number Theory
For integer values:
- If 74.142 is even, its additive inverse is also even.
- If 74.142 is odd, its additive inverse is also odd.
- The sum of the digits of 74.142 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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