12.25 Additive Inverse :
The additive inverse of 12.25 is -12.25.
This means that when we add 12.25 and -12.25, the result is zero:
12.25 + (-12.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 12.25
- Additive inverse: -12.25
To verify: 12.25 + (-12.25) = 0
Extended Mathematical Exploration of 12.25
Let's explore various mathematical operations and concepts related to 12.25 and its additive inverse -12.25.
Basic Operations and Properties
- Square of 12.25: 150.0625
- Cube of 12.25: 1838.265625
- Square root of |12.25|: 3.5
- Reciprocal of 12.25: 0.081632653061224
- Double of 12.25: 24.5
- Half of 12.25: 6.125
- Absolute value of 12.25: 12.25
Trigonometric Functions
- Sine of 12.25: -0.31111935498113
- Cosine of 12.25: 0.95037084706767
- Tangent of 12.25: -0.3273662654332
Exponential and Logarithmic Functions
- e^12.25: 208981.28886971
- Natural log of 12.25: 2.5055259369907
Floor and Ceiling Functions
- Floor of 12.25: 12
- Ceiling of 12.25: 13
Interesting Properties and Relationships
- The sum of 12.25 and its additive inverse (-12.25) is always 0.
- The product of 12.25 and its additive inverse is: -150.0625
- The average of 12.25 and its additive inverse is always 0.
- The distance between 12.25 and its additive inverse on a number line is: 24.5
Applications in Algebra
Consider the equation: x + 12.25 = 0
The solution to this equation is x = -12.25, which is the additive inverse of 12.25.
Graphical Representation
On a coordinate plane:
- The point (12.25, 0) is reflected across the y-axis to (-12.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 12.25 and Its Additive Inverse
Consider the alternating series: 12.25 + (-12.25) + 12.25 + (-12.25) + ...
The sum of this series oscillates between 0 and 12.25, never converging unless 12.25 is 0.
In Number Theory
For integer values:
- If 12.25 is even, its additive inverse is also even.
- If 12.25 is odd, its additive inverse is also odd.
- The sum of the digits of 12.25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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