7.55 Additive Inverse :
The additive inverse of 7.55 is -7.55.
This means that when we add 7.55 and -7.55, the result is zero:
7.55 + (-7.55) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 7.55
- Additive inverse: -7.55
To verify: 7.55 + (-7.55) = 0
Extended Mathematical Exploration of 7.55
Let's explore various mathematical operations and concepts related to 7.55 and its additive inverse -7.55.
Basic Operations and Properties
- Square of 7.55: 57.0025
- Cube of 7.55: 430.368875
- Square root of |7.55|: 2.7477263328068
- Reciprocal of 7.55: 0.13245033112583
- Double of 7.55: 15.1
- Half of 7.55: 3.775
- Absolute value of 7.55: 7.55
Trigonometric Functions
- Sine of 7.55: 0.95415226627951
- Cosine of 7.55: 0.29932165433471
- Tangent of 7.55: 3.187715464156
Exponential and Logarithmic Functions
- e^7.55: 1900.7427313396
- Natural log of 7.55: 2.0215475632609
Floor and Ceiling Functions
- Floor of 7.55: 7
- Ceiling of 7.55: 8
Interesting Properties and Relationships
- The sum of 7.55 and its additive inverse (-7.55) is always 0.
- The product of 7.55 and its additive inverse is: -57.0025
- The average of 7.55 and its additive inverse is always 0.
- The distance between 7.55 and its additive inverse on a number line is: 15.1
Applications in Algebra
Consider the equation: x + 7.55 = 0
The solution to this equation is x = -7.55, which is the additive inverse of 7.55.
Graphical Representation
On a coordinate plane:
- The point (7.55, 0) is reflected across the y-axis to (-7.55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7.55 and Its Additive Inverse
Consider the alternating series: 7.55 + (-7.55) + 7.55 + (-7.55) + ...
The sum of this series oscillates between 0 and 7.55, never converging unless 7.55 is 0.
In Number Theory
For integer values:
- If 7.55 is even, its additive inverse is also even.
- If 7.55 is odd, its additive inverse is also odd.
- The sum of the digits of 7.55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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