1.8 Additive Inverse :
The additive inverse of 1.8 is -1.8.
This means that when we add 1.8 and -1.8, the result is zero:
1.8 + (-1.8) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.8
- Additive inverse: -1.8
To verify: 1.8 + (-1.8) = 0
Extended Mathematical Exploration of 1.8
Let's explore various mathematical operations and concepts related to 1.8 and its additive inverse -1.8.
Basic Operations and Properties
- Square of 1.8: 3.24
- Cube of 1.8: 5.832
- Square root of |1.8|: 1.3416407864999
- Reciprocal of 1.8: 0.55555555555556
- Double of 1.8: 3.6
- Half of 1.8: 0.9
- Absolute value of 1.8: 1.8
Trigonometric Functions
- Sine of 1.8: 0.9738476308782
- Cosine of 1.8: -0.22720209469309
- Tangent of 1.8: -4.2862616746281
Exponential and Logarithmic Functions
- e^1.8: 6.0496474644129
- Natural log of 1.8: 0.58778666490212
Floor and Ceiling Functions
- Floor of 1.8: 1
- Ceiling of 1.8: 2
Interesting Properties and Relationships
- The sum of 1.8 and its additive inverse (-1.8) is always 0.
- The product of 1.8 and its additive inverse is: -3.24
- The average of 1.8 and its additive inverse is always 0.
- The distance between 1.8 and its additive inverse on a number line is: 3.6
Applications in Algebra
Consider the equation: x + 1.8 = 0
The solution to this equation is x = -1.8, which is the additive inverse of 1.8.
Graphical Representation
On a coordinate plane:
- The point (1.8, 0) is reflected across the y-axis to (-1.8, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.8 and Its Additive Inverse
Consider the alternating series: 1.8 + (-1.8) + 1.8 + (-1.8) + ...
The sum of this series oscillates between 0 and 1.8, never converging unless 1.8 is 0.
In Number Theory
For integer values:
- If 1.8 is even, its additive inverse is also even.
- If 1.8 is odd, its additive inverse is also odd.
- The sum of the digits of 1.8 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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