13.748 Additive Inverse :
The additive inverse of 13.748 is -13.748.
This means that when we add 13.748 and -13.748, the result is zero:
13.748 + (-13.748) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.748
- Additive inverse: -13.748
To verify: 13.748 + (-13.748) = 0
Extended Mathematical Exploration of 13.748
Let's explore various mathematical operations and concepts related to 13.748 and its additive inverse -13.748.
Basic Operations and Properties
- Square of 13.748: 189.007504
- Cube of 13.748: 2598.475164992
- Square root of |13.748|: 3.7078295537956
- Reciprocal of 13.748: 0.072737852778586
- Double of 13.748: 27.496
- Half of 13.748: 6.874
- Absolute value of 13.748: 13.748
Trigonometric Functions
- Sine of 13.748: 0.92522545820559
- Cosine of 13.748: 0.37941777961538
- Tangent of 13.748: 2.4385400682686
Exponential and Logarithmic Functions
- e^13.748: 934717.85184624
- Natural log of 13.748: 2.6208933589876
Floor and Ceiling Functions
- Floor of 13.748: 13
- Ceiling of 13.748: 14
Interesting Properties and Relationships
- The sum of 13.748 and its additive inverse (-13.748) is always 0.
- The product of 13.748 and its additive inverse is: -189.007504
- The average of 13.748 and its additive inverse is always 0.
- The distance between 13.748 and its additive inverse on a number line is: 27.496
Applications in Algebra
Consider the equation: x + 13.748 = 0
The solution to this equation is x = -13.748, which is the additive inverse of 13.748.
Graphical Representation
On a coordinate plane:
- The point (13.748, 0) is reflected across the y-axis to (-13.748, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.748 and Its Additive Inverse
Consider the alternating series: 13.748 + (-13.748) + 13.748 + (-13.748) + ...
The sum of this series oscillates between 0 and 13.748, never converging unless 13.748 is 0.
In Number Theory
For integer values:
- If 13.748 is even, its additive inverse is also even.
- If 13.748 is odd, its additive inverse is also odd.
- The sum of the digits of 13.748 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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