1.2 Additive Inverse :
The additive inverse of 1.2 is -1.2.
This means that when we add 1.2 and -1.2, the result is zero:
1.2 + (-1.2) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.2
- Additive inverse: -1.2
To verify: 1.2 + (-1.2) = 0
Extended Mathematical Exploration of 1.2
Let's explore various mathematical operations and concepts related to 1.2 and its additive inverse -1.2.
Basic Operations and Properties
- Square of 1.2: 1.44
- Cube of 1.2: 1.728
- Square root of |1.2|: 1.0954451150103
- Reciprocal of 1.2: 0.83333333333333
- Double of 1.2: 2.4
- Half of 1.2: 0.6
- Absolute value of 1.2: 1.2
Trigonometric Functions
- Sine of 1.2: 0.93203908596723
- Cosine of 1.2: 0.36235775447667
- Tangent of 1.2: 2.5721516221263
Exponential and Logarithmic Functions
- e^1.2: 3.3201169227365
- Natural log of 1.2: 0.18232155679395
Floor and Ceiling Functions
- Floor of 1.2: 1
- Ceiling of 1.2: 2
Interesting Properties and Relationships
- The sum of 1.2 and its additive inverse (-1.2) is always 0.
- The product of 1.2 and its additive inverse is: -1.44
- The average of 1.2 and its additive inverse is always 0.
- The distance between 1.2 and its additive inverse on a number line is: 2.4
Applications in Algebra
Consider the equation: x + 1.2 = 0
The solution to this equation is x = -1.2, which is the additive inverse of 1.2.
Graphical Representation
On a coordinate plane:
- The point (1.2, 0) is reflected across the y-axis to (-1.2, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.2 and Its Additive Inverse
Consider the alternating series: 1.2 + (-1.2) + 1.2 + (-1.2) + ...
The sum of this series oscillates between 0 and 1.2, never converging unless 1.2 is 0.
In Number Theory
For integer values:
- If 1.2 is even, its additive inverse is also even.
- If 1.2 is odd, its additive inverse is also odd.
- The sum of the digits of 1.2 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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