3.13 Additive Inverse :
The additive inverse of 3.13 is -3.13.
This means that when we add 3.13 and -3.13, the result is zero:
3.13 + (-3.13) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 3.13
- Additive inverse: -3.13
To verify: 3.13 + (-3.13) = 0
Extended Mathematical Exploration of 3.13
Let's explore various mathematical operations and concepts related to 3.13 and its additive inverse -3.13.
Basic Operations and Properties
- Square of 3.13: 9.7969
- Cube of 3.13: 30.664297
- Square root of |3.13|: 1.7691806012954
- Reciprocal of 3.13: 0.31948881789137
- Double of 3.13: 6.26
- Half of 3.13: 1.565
- Absolute value of 3.13: 3.13
Trigonometric Functions
- Sine of 3.13: 0.011592393936158
- Cosine of 3.13: -0.99993280594389
- Tangent of 3.13: -0.01159317292847
Exponential and Logarithmic Functions
- e^3.13: 22.873979542441
- Natural log of 3.13: 1.1410330045521
Floor and Ceiling Functions
- Floor of 3.13: 3
- Ceiling of 3.13: 4
Interesting Properties and Relationships
- The sum of 3.13 and its additive inverse (-3.13) is always 0.
- The product of 3.13 and its additive inverse is: -9.7969
- The average of 3.13 and its additive inverse is always 0.
- The distance between 3.13 and its additive inverse on a number line is: 6.26
Applications in Algebra
Consider the equation: x + 3.13 = 0
The solution to this equation is x = -3.13, which is the additive inverse of 3.13.
Graphical Representation
On a coordinate plane:
- The point (3.13, 0) is reflected across the y-axis to (-3.13, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 3.13 and Its Additive Inverse
Consider the alternating series: 3.13 + (-3.13) + 3.13 + (-3.13) + ...
The sum of this series oscillates between 0 and 3.13, never converging unless 3.13 is 0.
In Number Theory
For integer values:
- If 3.13 is even, its additive inverse is also even.
- If 3.13 is odd, its additive inverse is also odd.
- The sum of the digits of 3.13 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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