67.55 Additive Inverse :
The additive inverse of 67.55 is -67.55.
This means that when we add 67.55 and -67.55, the result is zero:
67.55 + (-67.55) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.55
- Additive inverse: -67.55
To verify: 67.55 + (-67.55) = 0
Extended Mathematical Exploration of 67.55
Let's explore various mathematical operations and concepts related to 67.55 and its additive inverse -67.55.
Basic Operations and Properties
- Square of 67.55: 4563.0025
- Cube of 67.55: 308230.818875
- Square root of |67.55|: 8.2188807023828
- Reciprocal of 67.55: 0.01480384900074
- Double of 67.55: 135.1
- Half of 67.55: 33.775
- Absolute value of 67.55: 67.55
Trigonometric Functions
- Sine of 67.55: -0.99998342306425
- Cosine of 67.55: 0.0057579160030304
- Tangent of 67.55: -173.67106823684
Exponential and Logarithmic Functions
- e^67.55: 2.1706622453282E+29
- Natural log of 67.55: 4.2128680644062
Floor and Ceiling Functions
- Floor of 67.55: 67
- Ceiling of 67.55: 68
Interesting Properties and Relationships
- The sum of 67.55 and its additive inverse (-67.55) is always 0.
- The product of 67.55 and its additive inverse is: -4563.0025
- The average of 67.55 and its additive inverse is always 0.
- The distance between 67.55 and its additive inverse on a number line is: 135.1
Applications in Algebra
Consider the equation: x + 67.55 = 0
The solution to this equation is x = -67.55, which is the additive inverse of 67.55.
Graphical Representation
On a coordinate plane:
- The point (67.55, 0) is reflected across the y-axis to (-67.55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.55 and Its Additive Inverse
Consider the alternating series: 67.55 + (-67.55) + 67.55 + (-67.55) + ...
The sum of this series oscillates between 0 and 67.55, never converging unless 67.55 is 0.
In Number Theory
For integer values:
- If 67.55 is even, its additive inverse is also even.
- If 67.55 is odd, its additive inverse is also odd.
- The sum of the digits of 67.55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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