15.46 Additive Inverse :
The additive inverse of 15.46 is -15.46.
This means that when we add 15.46 and -15.46, the result is zero:
15.46 + (-15.46) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 15.46
- Additive inverse: -15.46
To verify: 15.46 + (-15.46) = 0
Extended Mathematical Exploration of 15.46
Let's explore various mathematical operations and concepts related to 15.46 and its additive inverse -15.46.
Basic Operations and Properties
- Square of 15.46: 239.0116
- Cube of 15.46: 3695.119336
- Square root of |15.46|: 3.9319206502675
- Reciprocal of 15.46: 0.064683053040103
- Double of 15.46: 30.92
- Half of 15.46: 7.73
- Absolute value of 15.46: 15.46
Trigonometric Functions
- Sine of 15.46: 0.245430032485
- Cosine of 15.46: -0.96941430727755
- Tangent of 15.46: -0.25317351997234
Exponential and Logarithmic Functions
- e^15.46: 5178365.3762281
- Natural log of 15.46: 2.7382560431593
Floor and Ceiling Functions
- Floor of 15.46: 15
- Ceiling of 15.46: 16
Interesting Properties and Relationships
- The sum of 15.46 and its additive inverse (-15.46) is always 0.
- The product of 15.46 and its additive inverse is: -239.0116
- The average of 15.46 and its additive inverse is always 0.
- The distance between 15.46 and its additive inverse on a number line is: 30.92
Applications in Algebra
Consider the equation: x + 15.46 = 0
The solution to this equation is x = -15.46, which is the additive inverse of 15.46.
Graphical Representation
On a coordinate plane:
- The point (15.46, 0) is reflected across the y-axis to (-15.46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15.46 and Its Additive Inverse
Consider the alternating series: 15.46 + (-15.46) + 15.46 + (-15.46) + ...
The sum of this series oscillates between 0 and 15.46, never converging unless 15.46 is 0.
In Number Theory
For integer values:
- If 15.46 is even, its additive inverse is also even.
- If 15.46 is odd, its additive inverse is also odd.
- The sum of the digits of 15.46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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