13.75 Additive Inverse :
The additive inverse of 13.75 is -13.75.
This means that when we add 13.75 and -13.75, the result is zero:
13.75 + (-13.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.75
- Additive inverse: -13.75
To verify: 13.75 + (-13.75) = 0
Extended Mathematical Exploration of 13.75
Let's explore various mathematical operations and concepts related to 13.75 and its additive inverse -13.75.
Basic Operations and Properties
- Square of 13.75: 189.0625
- Cube of 13.75: 2599.609375
- Square root of |13.75|: 3.7080992435478
- Reciprocal of 13.75: 0.072727272727273
- Double of 13.75: 27.5
- Half of 13.75: 6.875
- Absolute value of 13.75: 13.75
Trigonometric Functions
- Sine of 13.75: 0.92598244280863
- Cosine of 13.75: 0.37756657109729
- Tangent of 13.75: 2.4525011314363
Exponential and Logarithmic Functions
- e^13.75: 936589.15823255
- Natural log of 13.75: 2.6210388241126
Floor and Ceiling Functions
- Floor of 13.75: 13
- Ceiling of 13.75: 14
Interesting Properties and Relationships
- The sum of 13.75 and its additive inverse (-13.75) is always 0.
- The product of 13.75 and its additive inverse is: -189.0625
- The average of 13.75 and its additive inverse is always 0.
- The distance between 13.75 and its additive inverse on a number line is: 27.5
Applications in Algebra
Consider the equation: x + 13.75 = 0
The solution to this equation is x = -13.75, which is the additive inverse of 13.75.
Graphical Representation
On a coordinate plane:
- The point (13.75, 0) is reflected across the y-axis to (-13.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.75 and Its Additive Inverse
Consider the alternating series: 13.75 + (-13.75) + 13.75 + (-13.75) + ...
The sum of this series oscillates between 0 and 13.75, never converging unless 13.75 is 0.
In Number Theory
For integer values:
- If 13.75 is even, its additive inverse is also even.
- If 13.75 is odd, its additive inverse is also odd.
- The sum of the digits of 13.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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