17.5 Additive Inverse :
The additive inverse of 17.5 is -17.5.
This means that when we add 17.5 and -17.5, the result is zero:
17.5 + (-17.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 17.5
- Additive inverse: -17.5
To verify: 17.5 + (-17.5) = 0
Extended Mathematical Exploration of 17.5
Let's explore various mathematical operations and concepts related to 17.5 and its additive inverse -17.5.
Basic Operations and Properties
- Square of 17.5: 306.25
- Cube of 17.5: 5359.375
- Square root of |17.5|: 4.1833001326704
- Reciprocal of 17.5: 0.057142857142857
- Double of 17.5: 35
- Half of 17.5: 8.75
- Absolute value of 17.5: 17.5
Trigonometric Functions
- Sine of 17.5: -0.97562600546816
- Cosine of 17.5: 0.21943996321146
- Tangent of 17.5: -4.4459814483655
Exponential and Logarithmic Functions
- e^17.5: 39824784.397576
- Natural log of 17.5: 2.8622008809295
Floor and Ceiling Functions
- Floor of 17.5: 17
- Ceiling of 17.5: 18
Interesting Properties and Relationships
- The sum of 17.5 and its additive inverse (-17.5) is always 0.
- The product of 17.5 and its additive inverse is: -306.25
- The average of 17.5 and its additive inverse is always 0.
- The distance between 17.5 and its additive inverse on a number line is: 35
Applications in Algebra
Consider the equation: x + 17.5 = 0
The solution to this equation is x = -17.5, which is the additive inverse of 17.5.
Graphical Representation
On a coordinate plane:
- The point (17.5, 0) is reflected across the y-axis to (-17.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17.5 and Its Additive Inverse
Consider the alternating series: 17.5 + (-17.5) + 17.5 + (-17.5) + ...
The sum of this series oscillates between 0 and 17.5, never converging unless 17.5 is 0.
In Number Theory
For integer values:
- If 17.5 is even, its additive inverse is also even.
- If 17.5 is odd, its additive inverse is also odd.
- The sum of the digits of 17.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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