13.43 Additive Inverse :
The additive inverse of 13.43 is -13.43.
This means that when we add 13.43 and -13.43, the result is zero:
13.43 + (-13.43) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.43
- Additive inverse: -13.43
To verify: 13.43 + (-13.43) = 0
Extended Mathematical Exploration of 13.43
Let's explore various mathematical operations and concepts related to 13.43 and its additive inverse -13.43.
Basic Operations and Properties
- Square of 13.43: 180.3649
- Cube of 13.43: 2422.300607
- Square root of |13.43|: 3.6646964403617
- Reciprocal of 13.43: 0.07446016381236
- Double of 13.43: 26.86
- Half of 13.43: 6.715
- Absolute value of 13.43: 13.43
Trigonometric Functions
- Sine of 13.43: 0.76020551356275
- Cosine of 13.43: 0.64968267419471
- Tangent of 13.43: 1.1701181880909
Exponential and Logarithmic Functions
- e^13.43: 680103.31538423
- Natural log of 13.43: 2.5974910105351
Floor and Ceiling Functions
- Floor of 13.43: 13
- Ceiling of 13.43: 14
Interesting Properties and Relationships
- The sum of 13.43 and its additive inverse (-13.43) is always 0.
- The product of 13.43 and its additive inverse is: -180.3649
- The average of 13.43 and its additive inverse is always 0.
- The distance between 13.43 and its additive inverse on a number line is: 26.86
Applications in Algebra
Consider the equation: x + 13.43 = 0
The solution to this equation is x = -13.43, which is the additive inverse of 13.43.
Graphical Representation
On a coordinate plane:
- The point (13.43, 0) is reflected across the y-axis to (-13.43, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.43 and Its Additive Inverse
Consider the alternating series: 13.43 + (-13.43) + 13.43 + (-13.43) + ...
The sum of this series oscillates between 0 and 13.43, never converging unless 13.43 is 0.
In Number Theory
For integer values:
- If 13.43 is even, its additive inverse is also even.
- If 13.43 is odd, its additive inverse is also odd.
- The sum of the digits of 13.43 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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