1.33 Additive Inverse :
The additive inverse of 1.33 is -1.33.
This means that when we add 1.33 and -1.33, the result is zero:
1.33 + (-1.33) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.33
- Additive inverse: -1.33
To verify: 1.33 + (-1.33) = 0
Extended Mathematical Exploration of 1.33
Let's explore various mathematical operations and concepts related to 1.33 and its additive inverse -1.33.
Basic Operations and Properties
- Square of 1.33: 1.7689
- Cube of 1.33: 2.352637
- Square root of |1.33|: 1.1532562594671
- Reciprocal of 1.33: 0.75187969924812
- Double of 1.33: 2.66
- Half of 1.33: 0.665
- Absolute value of 1.33: 1.33
Trigonometric Functions
- Sine of 1.33: 0.97114837792104
- Cosine of 1.33: 0.23847605343372
- Tangent of 1.33: 4.0723098354651
Exponential and Logarithmic Functions
- e^1.33: 3.7810433875688
- Natural log of 1.33: 0.28517894223366
Floor and Ceiling Functions
- Floor of 1.33: 1
- Ceiling of 1.33: 2
Interesting Properties and Relationships
- The sum of 1.33 and its additive inverse (-1.33) is always 0.
- The product of 1.33 and its additive inverse is: -1.7689
- The average of 1.33 and its additive inverse is always 0.
- The distance between 1.33 and its additive inverse on a number line is: 2.66
Applications in Algebra
Consider the equation: x + 1.33 = 0
The solution to this equation is x = -1.33, which is the additive inverse of 1.33.
Graphical Representation
On a coordinate plane:
- The point (1.33, 0) is reflected across the y-axis to (-1.33, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.33 and Its Additive Inverse
Consider the alternating series: 1.33 + (-1.33) + 1.33 + (-1.33) + ...
The sum of this series oscillates between 0 and 1.33, never converging unless 1.33 is 0.
In Number Theory
For integer values:
- If 1.33 is even, its additive inverse is also even.
- If 1.33 is odd, its additive inverse is also odd.
- The sum of the digits of 1.33 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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