74.8 Additive Inverse :
The additive inverse of 74.8 is -74.8.
This means that when we add 74.8 and -74.8, the result is zero:
74.8 + (-74.8) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.8
- Additive inverse: -74.8
To verify: 74.8 + (-74.8) = 0
Extended Mathematical Exploration of 74.8
Let's explore various mathematical operations and concepts related to 74.8 and its additive inverse -74.8.
Basic Operations and Properties
- Square of 74.8: 5595.04
- Cube of 74.8: 418508.992
- Square root of |74.8|: 8.6486993241759
- Reciprocal of 74.8: 0.013368983957219
- Double of 74.8: 149.6
- Half of 74.8: 37.4
- Absolute value of 74.8: 74.8
Trigonometric Functions
- Sine of 74.8: -0.56317552828112
- Cosine of 74.8: 0.82633729453855
- Tangent of 74.8: -0.68153226533919
Exponential and Logarithmic Functions
- e^74.8: 3.0565200314616E+32
- Natural log of 74.8: 4.3148178849804
Floor and Ceiling Functions
- Floor of 74.8: 74
- Ceiling of 74.8: 75
Interesting Properties and Relationships
- The sum of 74.8 and its additive inverse (-74.8) is always 0.
- The product of 74.8 and its additive inverse is: -5595.04
- The average of 74.8 and its additive inverse is always 0.
- The distance between 74.8 and its additive inverse on a number line is: 149.6
Applications in Algebra
Consider the equation: x + 74.8 = 0
The solution to this equation is x = -74.8, which is the additive inverse of 74.8.
Graphical Representation
On a coordinate plane:
- The point (74.8, 0) is reflected across the y-axis to (-74.8, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.8 and Its Additive Inverse
Consider the alternating series: 74.8 + (-74.8) + 74.8 + (-74.8) + ...
The sum of this series oscillates between 0 and 74.8, never converging unless 74.8 is 0.
In Number Theory
For integer values:
- If 74.8 is even, its additive inverse is also even.
- If 74.8 is odd, its additive inverse is also odd.
- The sum of the digits of 74.8 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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