74.74 Additive Inverse :
The additive inverse of 74.74 is -74.74.
This means that when we add 74.74 and -74.74, the result is zero:
74.74 + (-74.74) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.74
- Additive inverse: -74.74
To verify: 74.74 + (-74.74) = 0
Extended Mathematical Exploration of 74.74
Let's explore various mathematical operations and concepts related to 74.74 and its additive inverse -74.74.
Basic Operations and Properties
- Square of 74.74: 5586.0676
- Cube of 74.74: 417502.692424
- Square root of |74.74|: 8.6452298986204
- Reciprocal of 74.74: 0.013379716350013
- Double of 74.74: 149.48
- Half of 74.74: 37.37
- Absolute value of 74.74: 74.74
Trigonometric Functions
- Sine of 74.74: -0.61171261129242
- Cosine of 74.74: 0.79108007255006
- Tangent of 74.74: -0.77326257166428
Exponential and Logarithmic Functions
- e^74.74: 2.8785221618203E+32
- Natural log of 74.74: 4.3140154240573
Floor and Ceiling Functions
- Floor of 74.74: 74
- Ceiling of 74.74: 75
Interesting Properties and Relationships
- The sum of 74.74 and its additive inverse (-74.74) is always 0.
- The product of 74.74 and its additive inverse is: -5586.0676
- The average of 74.74 and its additive inverse is always 0.
- The distance between 74.74 and its additive inverse on a number line is: 149.48
Applications in Algebra
Consider the equation: x + 74.74 = 0
The solution to this equation is x = -74.74, which is the additive inverse of 74.74.
Graphical Representation
On a coordinate plane:
- The point (74.74, 0) is reflected across the y-axis to (-74.74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.74 and Its Additive Inverse
Consider the alternating series: 74.74 + (-74.74) + 74.74 + (-74.74) + ...
The sum of this series oscillates between 0 and 74.74, never converging unless 74.74 is 0.
In Number Theory
For integer values:
- If 74.74 is even, its additive inverse is also even.
- If 74.74 is odd, its additive inverse is also odd.
- The sum of the digits of 74.74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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