1.5 Additive Inverse :
The additive inverse of 1.5 is -1.5.
This means that when we add 1.5 and -1.5, the result is zero:
1.5 + (-1.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.5
- Additive inverse: -1.5
To verify: 1.5 + (-1.5) = 0
Extended Mathematical Exploration of 1.5
Let's explore various mathematical operations and concepts related to 1.5 and its additive inverse -1.5.
Basic Operations and Properties
- Square of 1.5: 2.25
- Cube of 1.5: 3.375
- Square root of |1.5|: 1.2247448713916
- Reciprocal of 1.5: 0.66666666666667
- Double of 1.5: 3
- Half of 1.5: 0.75
- Absolute value of 1.5: 1.5
Trigonometric Functions
- Sine of 1.5: 0.99749498660405
- Cosine of 1.5: 0.070737201667703
- Tangent of 1.5: 14.101419947172
Exponential and Logarithmic Functions
- e^1.5: 4.4816890703381
- Natural log of 1.5: 0.40546510810816
Floor and Ceiling Functions
- Floor of 1.5: 1
- Ceiling of 1.5: 2
Interesting Properties and Relationships
- The sum of 1.5 and its additive inverse (-1.5) is always 0.
- The product of 1.5 and its additive inverse is: -2.25
- The average of 1.5 and its additive inverse is always 0.
- The distance between 1.5 and its additive inverse on a number line is: 3
Applications in Algebra
Consider the equation: x + 1.5 = 0
The solution to this equation is x = -1.5, which is the additive inverse of 1.5.
Graphical Representation
On a coordinate plane:
- The point (1.5, 0) is reflected across the y-axis to (-1.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.5 and Its Additive Inverse
Consider the alternating series: 1.5 + (-1.5) + 1.5 + (-1.5) + ...
The sum of this series oscillates between 0 and 1.5, never converging unless 1.5 is 0.
In Number Theory
For integer values:
- If 1.5 is even, its additive inverse is also even.
- If 1.5 is odd, its additive inverse is also odd.
- The sum of the digits of 1.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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