10.488 Additive Inverse :
The additive inverse of 10.488 is -10.488.
This means that when we add 10.488 and -10.488, the result is zero:
10.488 + (-10.488) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 10.488
- Additive inverse: -10.488
To verify: 10.488 + (-10.488) = 0
Extended Mathematical Exploration of 10.488
Let's explore various mathematical operations and concepts related to 10.488 and its additive inverse -10.488.
Basic Operations and Properties
- Square of 10.488: 109.998144
- Cube of 10.488: 1153.660534272
- Square root of |10.488|: 3.2385181796618
- Reciprocal of 10.488: 0.09534706331045
- Double of 10.488: 20.976
- Half of 10.488: 5.244
- Absolute value of 10.488: 10.488
Trigonometric Functions
- Sine of 10.488: -0.8739261164547
- Cosine of 10.488: -0.48605878551714
- Tangent of 10.488: 1.7979844053737
Exponential and Logarithmic Functions
- e^10.488: 35882.320930785
- Natural log of 10.488: 2.3502317464614
Floor and Ceiling Functions
- Floor of 10.488: 10
- Ceiling of 10.488: 11
Interesting Properties and Relationships
- The sum of 10.488 and its additive inverse (-10.488) is always 0.
- The product of 10.488 and its additive inverse is: -109.998144
- The average of 10.488 and its additive inverse is always 0.
- The distance between 10.488 and its additive inverse on a number line is: 20.976
Applications in Algebra
Consider the equation: x + 10.488 = 0
The solution to this equation is x = -10.488, which is the additive inverse of 10.488.
Graphical Representation
On a coordinate plane:
- The point (10.488, 0) is reflected across the y-axis to (-10.488, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 10.488 and Its Additive Inverse
Consider the alternating series: 10.488 + (-10.488) + 10.488 + (-10.488) + ...
The sum of this series oscillates between 0 and 10.488, never converging unless 10.488 is 0.
In Number Theory
For integer values:
- If 10.488 is even, its additive inverse is also even.
- If 10.488 is odd, its additive inverse is also odd.
- The sum of the digits of 10.488 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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