1.38 Additive Inverse :
The additive inverse of 1.38 is -1.38.
This means that when we add 1.38 and -1.38, the result is zero:
1.38 + (-1.38) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.38
- Additive inverse: -1.38
To verify: 1.38 + (-1.38) = 0
Extended Mathematical Exploration of 1.38
Let's explore various mathematical operations and concepts related to 1.38 and its additive inverse -1.38.
Basic Operations and Properties
- Square of 1.38: 1.9044
- Cube of 1.38: 2.628072
- Square root of |1.38|: 1.1747340124471
- Reciprocal of 1.38: 0.72463768115942
- Double of 1.38: 2.76
- Half of 1.38: 0.69
- Absolute value of 1.38: 1.38
Trigonometric Functions
- Sine of 1.38: 0.98185353037236
- Cosine of 1.38: 0.18964083129783
- Tangent of 1.38: 5.1774373886304
Exponential and Logarithmic Functions
- e^1.38: 3.9749016274947
- Natural log of 1.38: 0.32208349916911
Floor and Ceiling Functions
- Floor of 1.38: 1
- Ceiling of 1.38: 2
Interesting Properties and Relationships
- The sum of 1.38 and its additive inverse (-1.38) is always 0.
- The product of 1.38 and its additive inverse is: -1.9044
- The average of 1.38 and its additive inverse is always 0.
- The distance between 1.38 and its additive inverse on a number line is: 2.76
Applications in Algebra
Consider the equation: x + 1.38 = 0
The solution to this equation is x = -1.38, which is the additive inverse of 1.38.
Graphical Representation
On a coordinate plane:
- The point (1.38, 0) is reflected across the y-axis to (-1.38, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.38 and Its Additive Inverse
Consider the alternating series: 1.38 + (-1.38) + 1.38 + (-1.38) + ...
The sum of this series oscillates between 0 and 1.38, never converging unless 1.38 is 0.
In Number Theory
For integer values:
- If 1.38 is even, its additive inverse is also even.
- If 1.38 is odd, its additive inverse is also odd.
- The sum of the digits of 1.38 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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