0.71 Additive Inverse :
The additive inverse of 0.71 is -0.71.
This means that when we add 0.71 and -0.71, the result is zero:
0.71 + (-0.71) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 0.71
- Additive inverse: -0.71
To verify: 0.71 + (-0.71) = 0
Extended Mathematical Exploration of 0.71
Let's explore various mathematical operations and concepts related to 0.71 and its additive inverse -0.71.
Basic Operations and Properties
- Square of 0.71: 0.5041
- Cube of 0.71: 0.357911
- Square root of |0.71|: 0.84261497731764
- Reciprocal of 0.71: 1.4084507042254
- Double of 0.71: 1.42
- Half of 0.71: 0.355
- Absolute value of 0.71: 0.71
Trigonometric Functions
- Sine of 0.71: 0.65183377102154
- Cosine of 0.71: 0.75836187599051
- Tangent of 0.71: 0.85952866521694
Exponential and Logarithmic Functions
- e^0.71: 2.0339912586468
- Natural log of 0.71: -0.34249030894678
Floor and Ceiling Functions
- Floor of 0.71: 0
- Ceiling of 0.71: 1
Interesting Properties and Relationships
- The sum of 0.71 and its additive inverse (-0.71) is always 0.
- The product of 0.71 and its additive inverse is: -0.5041
- The average of 0.71 and its additive inverse is always 0.
- The distance between 0.71 and its additive inverse on a number line is: 1.42
Applications in Algebra
Consider the equation: x + 0.71 = 0
The solution to this equation is x = -0.71, which is the additive inverse of 0.71.
Graphical Representation
On a coordinate plane:
- The point (0.71, 0) is reflected across the y-axis to (-0.71, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 0.71 and Its Additive Inverse
Consider the alternating series: 0.71 + (-0.71) + 0.71 + (-0.71) + ...
The sum of this series oscillates between 0 and 0.71, never converging unless 0.71 is 0.
In Number Theory
For integer values:
- If 0.71 is even, its additive inverse is also even.
- If 0.71 is odd, its additive inverse is also odd.
- The sum of the digits of 0.71 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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