48.487 Additive Inverse :
The additive inverse of 48.487 is -48.487.
This means that when we add 48.487 and -48.487, the result is zero:
48.487 + (-48.487) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 48.487
- Additive inverse: -48.487
To verify: 48.487 + (-48.487) = 0
Extended Mathematical Exploration of 48.487
Let's explore various mathematical operations and concepts related to 48.487 and its additive inverse -48.487.
Basic Operations and Properties
- Square of 48.487: 2350.989169
- Cube of 48.487: 113992.4118373
- Square root of |48.487|: 6.9632607304337
- Reciprocal of 48.487: 0.020624084806237
- Double of 48.487: 96.974
- Half of 48.487: 24.2435
- Absolute value of 48.487: 48.487
Trigonometric Functions
- Sine of 48.487: -0.97851064508501
- Cosine of 48.487: -0.20619630805451
- Tangent of 48.487: 4.7455294147475
Exponential and Logarithmic Functions
- e^48.487: 1.141922273433E+21
- Natural log of 48.487: 3.8812957207769
Floor and Ceiling Functions
- Floor of 48.487: 48
- Ceiling of 48.487: 49
Interesting Properties and Relationships
- The sum of 48.487 and its additive inverse (-48.487) is always 0.
- The product of 48.487 and its additive inverse is: -2350.989169
- The average of 48.487 and its additive inverse is always 0.
- The distance between 48.487 and its additive inverse on a number line is: 96.974
Applications in Algebra
Consider the equation: x + 48.487 = 0
The solution to this equation is x = -48.487, which is the additive inverse of 48.487.
Graphical Representation
On a coordinate plane:
- The point (48.487, 0) is reflected across the y-axis to (-48.487, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 48.487 and Its Additive Inverse
Consider the alternating series: 48.487 + (-48.487) + 48.487 + (-48.487) + ...
The sum of this series oscillates between 0 and 48.487, never converging unless 48.487 is 0.
In Number Theory
For integer values:
- If 48.487 is even, its additive inverse is also even.
- If 48.487 is odd, its additive inverse is also odd.
- The sum of the digits of 48.487 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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