67.75 Additive Inverse :
The additive inverse of 67.75 is -67.75.
This means that when we add 67.75 and -67.75, the result is zero:
67.75 + (-67.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.75
- Additive inverse: -67.75
To verify: 67.75 + (-67.75) = 0
Extended Mathematical Exploration of 67.75
Let's explore various mathematical operations and concepts related to 67.75 and its additive inverse -67.75.
Basic Operations and Properties
- Square of 67.75: 4590.0625
- Cube of 67.75: 310976.734375
- Square root of |67.75|: 8.2310388165772
- Reciprocal of 67.75: 0.014760147601476
- Double of 67.75: 135.5
- Half of 67.75: 33.875
- Absolute value of 67.75: 67.75
Trigonometric Functions
- Sine of 67.75: -0.97890641002146
- Cosine of 67.75: 0.20430917849892
- Tangent of 67.75: -4.7912992319463
Exponential and Logarithmic Functions
- e^67.75: 2.6512528534781E+29
- Natural log of 67.75: 4.2158244597598
Floor and Ceiling Functions
- Floor of 67.75: 67
- Ceiling of 67.75: 68
Interesting Properties and Relationships
- The sum of 67.75 and its additive inverse (-67.75) is always 0.
- The product of 67.75 and its additive inverse is: -4590.0625
- The average of 67.75 and its additive inverse is always 0.
- The distance between 67.75 and its additive inverse on a number line is: 135.5
Applications in Algebra
Consider the equation: x + 67.75 = 0
The solution to this equation is x = -67.75, which is the additive inverse of 67.75.
Graphical Representation
On a coordinate plane:
- The point (67.75, 0) is reflected across the y-axis to (-67.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.75 and Its Additive Inverse
Consider the alternating series: 67.75 + (-67.75) + 67.75 + (-67.75) + ...
The sum of this series oscillates between 0 and 67.75, never converging unless 67.75 is 0.
In Number Theory
For integer values:
- If 67.75 is even, its additive inverse is also even.
- If 67.75 is odd, its additive inverse is also odd.
- The sum of the digits of 67.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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