7.13 Additive Inverse :
The additive inverse of 7.13 is -7.13.
This means that when we add 7.13 and -7.13, the result is zero:
7.13 + (-7.13) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 7.13
- Additive inverse: -7.13
To verify: 7.13 + (-7.13) = 0
Extended Mathematical Exploration of 7.13
Let's explore various mathematical operations and concepts related to 7.13 and its additive inverse -7.13.
Basic Operations and Properties
- Square of 7.13: 50.8369
- Cube of 7.13: 362.467097
- Square root of |7.13|: 2.6702059845637
- Reciprocal of 7.13: 0.14025245441795
- Double of 7.13: 14.26
- Half of 7.13: 3.565
- Absolute value of 7.13: 7.13
Trigonometric Functions
- Sine of 7.13: 0.74917434833169
- Cosine of 7.13: 0.66237285255496
- Tangent of 7.13: 1.1310462761901
Exponential and Logarithmic Functions
- e^7.13: 1248.8769669133
- Natural log of 7.13: 1.9643112344262
Floor and Ceiling Functions
- Floor of 7.13: 7
- Ceiling of 7.13: 8
Interesting Properties and Relationships
- The sum of 7.13 and its additive inverse (-7.13) is always 0.
- The product of 7.13 and its additive inverse is: -50.8369
- The average of 7.13 and its additive inverse is always 0.
- The distance between 7.13 and its additive inverse on a number line is: 14.26
Applications in Algebra
Consider the equation: x + 7.13 = 0
The solution to this equation is x = -7.13, which is the additive inverse of 7.13.
Graphical Representation
On a coordinate plane:
- The point (7.13, 0) is reflected across the y-axis to (-7.13, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7.13 and Its Additive Inverse
Consider the alternating series: 7.13 + (-7.13) + 7.13 + (-7.13) + ...
The sum of this series oscillates between 0 and 7.13, never converging unless 7.13 is 0.
In Number Theory
For integer values:
- If 7.13 is even, its additive inverse is also even.
- If 7.13 is odd, its additive inverse is also odd.
- The sum of the digits of 7.13 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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