0.14 Additive Inverse :
The additive inverse of 0.14 is -0.14.
This means that when we add 0.14 and -0.14, the result is zero:
0.14 + (-0.14) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 0.14
- Additive inverse: -0.14
To verify: 0.14 + (-0.14) = 0
Extended Mathematical Exploration of 0.14
Let's explore various mathematical operations and concepts related to 0.14 and its additive inverse -0.14.
Basic Operations and Properties
- Square of 0.14: 0.0196
- Cube of 0.14: 0.002744
- Square root of |0.14|: 0.37416573867739
- Reciprocal of 0.14: 7.1428571428571
- Double of 0.14: 0.28
- Half of 0.14: 0.07
- Absolute value of 0.14: 0.14
Trigonometric Functions
- Sine of 0.14: 0.13954311464424
- Cosine of 0.14: 0.99021599621264
- Tangent of 0.14: 0.14092189499863
Exponential and Logarithmic Functions
- e^0.14: 1.1502737988572
- Natural log of 0.14: -1.9661128563728
Floor and Ceiling Functions
- Floor of 0.14: 0
- Ceiling of 0.14: 1
Interesting Properties and Relationships
- The sum of 0.14 and its additive inverse (-0.14) is always 0.
- The product of 0.14 and its additive inverse is: -0.0196
- The average of 0.14 and its additive inverse is always 0.
- The distance between 0.14 and its additive inverse on a number line is: 0.28
Applications in Algebra
Consider the equation: x + 0.14 = 0
The solution to this equation is x = -0.14, which is the additive inverse of 0.14.
Graphical Representation
On a coordinate plane:
- The point (0.14, 0) is reflected across the y-axis to (-0.14, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 0.14 and Its Additive Inverse
Consider the alternating series: 0.14 + (-0.14) + 0.14 + (-0.14) + ...
The sum of this series oscillates between 0 and 0.14, never converging unless 0.14 is 0.
In Number Theory
For integer values:
- If 0.14 is even, its additive inverse is also even.
- If 0.14 is odd, its additive inverse is also odd.
- The sum of the digits of 0.14 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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