1.3 Additive Inverse :
The additive inverse of 1.3 is -1.3.
This means that when we add 1.3 and -1.3, the result is zero:
1.3 + (-1.3) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.3
- Additive inverse: -1.3
To verify: 1.3 + (-1.3) = 0
Extended Mathematical Exploration of 1.3
Let's explore various mathematical operations and concepts related to 1.3 and its additive inverse -1.3.
Basic Operations and Properties
- Square of 1.3: 1.69
- Cube of 1.3: 2.197
- Square root of |1.3|: 1.1401754250991
- Reciprocal of 1.3: 0.76923076923077
- Double of 1.3: 2.6
- Half of 1.3: 0.65
- Absolute value of 1.3: 1.3
Trigonometric Functions
- Sine of 1.3: 0.96355818541719
- Cosine of 1.3: 0.26749882862459
- Tangent of 1.3: 3.602102447968
Exponential and Logarithmic Functions
- e^1.3: 3.6692966676192
- Natural log of 1.3: 0.26236426446749
Floor and Ceiling Functions
- Floor of 1.3: 1
- Ceiling of 1.3: 2
Interesting Properties and Relationships
- The sum of 1.3 and its additive inverse (-1.3) is always 0.
- The product of 1.3 and its additive inverse is: -1.69
- The average of 1.3 and its additive inverse is always 0.
- The distance between 1.3 and its additive inverse on a number line is: 2.6
Applications in Algebra
Consider the equation: x + 1.3 = 0
The solution to this equation is x = -1.3, which is the additive inverse of 1.3.
Graphical Representation
On a coordinate plane:
- The point (1.3, 0) is reflected across the y-axis to (-1.3, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.3 and Its Additive Inverse
Consider the alternating series: 1.3 + (-1.3) + 1.3 + (-1.3) + ...
The sum of this series oscillates between 0 and 1.3, never converging unless 1.3 is 0.
In Number Theory
For integer values:
- If 1.3 is even, its additive inverse is also even.
- If 1.3 is odd, its additive inverse is also odd.
- The sum of the digits of 1.3 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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