9.88 Additive Inverse :
The additive inverse of 9.88 is -9.88.
This means that when we add 9.88 and -9.88, the result is zero:
9.88 + (-9.88) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 9.88
- Additive inverse: -9.88
To verify: 9.88 + (-9.88) = 0
Extended Mathematical Exploration of 9.88
Let's explore various mathematical operations and concepts related to 9.88 and its additive inverse -9.88.
Basic Operations and Properties
- Square of 9.88: 97.6144
- Cube of 9.88: 964.430272
- Square root of |9.88|: 3.1432467291003
- Reciprocal of 9.88: 0.10121457489879
- Double of 9.88: 19.76
- Half of 9.88: 4.94
- Absolute value of 9.88: 9.88
Trigonometric Functions
- Sine of 9.88: -0.43966175215875
- Cosine of 9.88: -0.89816342816255
- Tangent of 9.88: 0.48951197340355
Exponential and Logarithmic Functions
- e^9.88: 19535.722662066
- Natural log of 9.88: 2.2905125117598
Floor and Ceiling Functions
- Floor of 9.88: 9
- Ceiling of 9.88: 10
Interesting Properties and Relationships
- The sum of 9.88 and its additive inverse (-9.88) is always 0.
- The product of 9.88 and its additive inverse is: -97.6144
- The average of 9.88 and its additive inverse is always 0.
- The distance between 9.88 and its additive inverse on a number line is: 19.76
Applications in Algebra
Consider the equation: x + 9.88 = 0
The solution to this equation is x = -9.88, which is the additive inverse of 9.88.
Graphical Representation
On a coordinate plane:
- The point (9.88, 0) is reflected across the y-axis to (-9.88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 9.88 and Its Additive Inverse
Consider the alternating series: 9.88 + (-9.88) + 9.88 + (-9.88) + ...
The sum of this series oscillates between 0 and 9.88, never converging unless 9.88 is 0.
In Number Theory
For integer values:
- If 9.88 is even, its additive inverse is also even.
- If 9.88 is odd, its additive inverse is also odd.
- The sum of the digits of 9.88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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