74.31 Additive Inverse :
The additive inverse of 74.31 is -74.31.
This means that when we add 74.31 and -74.31, the result is zero:
74.31 + (-74.31) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.31
- Additive inverse: -74.31
To verify: 74.31 + (-74.31) = 0
Extended Mathematical Exploration of 74.31
Let's explore various mathematical operations and concepts related to 74.31 and its additive inverse -74.31.
Basic Operations and Properties
- Square of 74.31: 5521.9761
- Cube of 74.31: 410338.043991
- Square root of |74.31|: 8.6203248198661
- Reciprocal of 74.31: 0.013457139012246
- Double of 74.31: 148.62
- Half of 74.31: 37.155
- Absolute value of 74.31: 74.31
Trigonometric Functions
- Sine of 74.31: -0.8858039969387
- Cosine of 74.31: 0.46405956407279
- Tangent of 74.31: -1.9088153019938
Exponential and Logarithmic Functions
- e^74.31: 1.8725048456268E+32
- Natural log of 74.31: 4.3082455321694
Floor and Ceiling Functions
- Floor of 74.31: 74
- Ceiling of 74.31: 75
Interesting Properties and Relationships
- The sum of 74.31 and its additive inverse (-74.31) is always 0.
- The product of 74.31 and its additive inverse is: -5521.9761
- The average of 74.31 and its additive inverse is always 0.
- The distance between 74.31 and its additive inverse on a number line is: 148.62
Applications in Algebra
Consider the equation: x + 74.31 = 0
The solution to this equation is x = -74.31, which is the additive inverse of 74.31.
Graphical Representation
On a coordinate plane:
- The point (74.31, 0) is reflected across the y-axis to (-74.31, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.31 and Its Additive Inverse
Consider the alternating series: 74.31 + (-74.31) + 74.31 + (-74.31) + ...
The sum of this series oscillates between 0 and 74.31, never converging unless 74.31 is 0.
In Number Theory
For integer values:
- If 74.31 is even, its additive inverse is also even.
- If 74.31 is odd, its additive inverse is also odd.
- The sum of the digits of 74.31 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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