16.4 Additive Inverse :
The additive inverse of 16.4 is -16.4.
This means that when we add 16.4 and -16.4, the result is zero:
16.4 + (-16.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 16.4
- Additive inverse: -16.4
To verify: 16.4 + (-16.4) = 0
Extended Mathematical Exploration of 16.4
Let's explore various mathematical operations and concepts related to 16.4 and its additive inverse -16.4.
Basic Operations and Properties
- Square of 16.4: 268.96
- Cube of 16.4: 4410.944
- Square root of |16.4|: 4.0496913462633
- Reciprocal of 16.4: 0.060975609756098
- Double of 16.4: 32.8
- Half of 16.4: 8.2
- Absolute value of 16.4: 16.4
Trigonometric Functions
- Sine of 16.4: -0.63810668234795
- Cosine of 16.4: -0.76994796054207
- Tangent of 16.4: 0.82876598815678
Exponential and Logarithmic Functions
- e^16.4: 13256519.140464
- Natural log of 16.4: 2.7972813348302
Floor and Ceiling Functions
- Floor of 16.4: 16
- Ceiling of 16.4: 17
Interesting Properties and Relationships
- The sum of 16.4 and its additive inverse (-16.4) is always 0.
- The product of 16.4 and its additive inverse is: -268.96
- The average of 16.4 and its additive inverse is always 0.
- The distance between 16.4 and its additive inverse on a number line is: 32.8
Applications in Algebra
Consider the equation: x + 16.4 = 0
The solution to this equation is x = -16.4, which is the additive inverse of 16.4.
Graphical Representation
On a coordinate plane:
- The point (16.4, 0) is reflected across the y-axis to (-16.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 16.4 and Its Additive Inverse
Consider the alternating series: 16.4 + (-16.4) + 16.4 + (-16.4) + ...
The sum of this series oscillates between 0 and 16.4, never converging unless 16.4 is 0.
In Number Theory
For integer values:
- If 16.4 is even, its additive inverse is also even.
- If 16.4 is odd, its additive inverse is also odd.
- The sum of the digits of 16.4 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: