17.4 Additive Inverse :
The additive inverse of 17.4 is -17.4.
This means that when we add 17.4 and -17.4, the result is zero:
17.4 + (-17.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 17.4
- Additive inverse: -17.4
To verify: 17.4 + (-17.4) = 0
Extended Mathematical Exploration of 17.4
Let's explore various mathematical operations and concepts related to 17.4 and its additive inverse -17.4.
Basic Operations and Properties
- Square of 17.4: 302.76
- Cube of 17.4: 5268.024
- Square root of |17.4|: 4.1713307229228
- Reciprocal of 17.4: 0.057471264367816
- Double of 17.4: 34.8
- Half of 17.4: 8.7
- Absolute value of 17.4: 17.4
Trigonometric Functions
- Sine of 17.4: -0.99265938047063
- Cosine of 17.4: 0.12094359992847
- Tangent of 17.4: -8.2076222392726
Exponential and Logarithmic Functions
- e^17.4: 36034955.088142
- Natural log of 17.4: 2.8564702062205
Floor and Ceiling Functions
- Floor of 17.4: 17
- Ceiling of 17.4: 18
Interesting Properties and Relationships
- The sum of 17.4 and its additive inverse (-17.4) is always 0.
- The product of 17.4 and its additive inverse is: -302.76
- The average of 17.4 and its additive inverse is always 0.
- The distance between 17.4 and its additive inverse on a number line is: 34.8
Applications in Algebra
Consider the equation: x + 17.4 = 0
The solution to this equation is x = -17.4, which is the additive inverse of 17.4.
Graphical Representation
On a coordinate plane:
- The point (17.4, 0) is reflected across the y-axis to (-17.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17.4 and Its Additive Inverse
Consider the alternating series: 17.4 + (-17.4) + 17.4 + (-17.4) + ...
The sum of this series oscillates between 0 and 17.4, never converging unless 17.4 is 0.
In Number Theory
For integer values:
- If 17.4 is even, its additive inverse is also even.
- If 17.4 is odd, its additive inverse is also odd.
- The sum of the digits of 17.4 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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