12.45 Additive Inverse :
The additive inverse of 12.45 is -12.45.
This means that when we add 12.45 and -12.45, the result is zero:
12.45 + (-12.45) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 12.45
- Additive inverse: -12.45
To verify: 12.45 + (-12.45) = 0
Extended Mathematical Exploration of 12.45
Let's explore various mathematical operations and concepts related to 12.45 and its additive inverse -12.45.
Basic Operations and Properties
- Square of 12.45: 155.0025
- Cube of 12.45: 1929.781125
- Square root of |12.45|: 3.5284557528755
- Reciprocal of 12.45: 0.080321285140562
- Double of 12.45: 24.9
- Half of 12.45: 6.225
- Absolute value of 12.45: 12.45
Trigonometric Functions
- Sine of 12.45: -0.11610814134246
- Cosine of 12.45: 0.99323657781719
- Tangent of 12.45: -0.11689877712481
Exponential and Logarithmic Functions
- e^12.45: 255250.32262933
- Natural log of 12.45: 2.5217206229107
Floor and Ceiling Functions
- Floor of 12.45: 12
- Ceiling of 12.45: 13
Interesting Properties and Relationships
- The sum of 12.45 and its additive inverse (-12.45) is always 0.
- The product of 12.45 and its additive inverse is: -155.0025
- The average of 12.45 and its additive inverse is always 0.
- The distance between 12.45 and its additive inverse on a number line is: 24.9
Applications in Algebra
Consider the equation: x + 12.45 = 0
The solution to this equation is x = -12.45, which is the additive inverse of 12.45.
Graphical Representation
On a coordinate plane:
- The point (12.45, 0) is reflected across the y-axis to (-12.45, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 12.45 and Its Additive Inverse
Consider the alternating series: 12.45 + (-12.45) + 12.45 + (-12.45) + ...
The sum of this series oscillates between 0 and 12.45, never converging unless 12.45 is 0.
In Number Theory
For integer values:
- If 12.45 is even, its additive inverse is also even.
- If 12.45 is odd, its additive inverse is also odd.
- The sum of the digits of 12.45 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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