17 Additive Inverse :
The additive inverse of 17 is -17.
This means that when we add 17 and -17, the result is zero:
17 + (-17) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 17
- Additive inverse: -17
To verify: 17 + (-17) = 0
Extended Mathematical Exploration of 17
Let's explore various mathematical operations and concepts related to 17 and its additive inverse -17.
Basic Operations and Properties
- Square of 17: 289
- Cube of 17: 4913
- Square root of |17|: 4.1231056256177
- Reciprocal of 17: 0.058823529411765
- Double of 17: 34
- Half of 17: 8.5
- Absolute value of 17: 17
Trigonometric Functions
- Sine of 17: -0.96139749187956
- Cosine of 17: -0.2751633380516
- Tangent of 17: 3.4939156454748
Exponential and Logarithmic Functions
- e^17: 24154952.753575
- Natural log of 17: 2.8332133440562
Floor and Ceiling Functions
- Floor of 17: 17
- Ceiling of 17: 17
Interesting Properties and Relationships
- The sum of 17 and its additive inverse (-17) is always 0.
- The product of 17 and its additive inverse is: -289
- The average of 17 and its additive inverse is always 0.
- The distance between 17 and its additive inverse on a number line is: 34
Applications in Algebra
Consider the equation: x + 17 = 0
The solution to this equation is x = -17, which is the additive inverse of 17.
Graphical Representation
On a coordinate plane:
- The point (17, 0) is reflected across the y-axis to (-17, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17 and Its Additive Inverse
Consider the alternating series: 17 + (-17) + 17 + (-17) + ...
The sum of this series oscillates between 0 and 17, never converging unless 17 is 0.
In Number Theory
For integer values:
- If 17 is even, its additive inverse is also even.
- If 17 is odd, its additive inverse is also odd.
- The sum of the digits of 17 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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