9.67 Additive Inverse :
The additive inverse of 9.67 is -9.67.
This means that when we add 9.67 and -9.67, the result is zero:
9.67 + (-9.67) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 9.67
- Additive inverse: -9.67
To verify: 9.67 + (-9.67) = 0
Extended Mathematical Exploration of 9.67
Let's explore various mathematical operations and concepts related to 9.67 and its additive inverse -9.67.
Basic Operations and Properties
- Square of 9.67: 93.5089
- Cube of 9.67: 904.231063
- Square root of |9.67|: 3.1096623610932
- Reciprocal of 9.67: 0.10341261633919
- Double of 9.67: 19.34
- Half of 9.67: 4.835
- Absolute value of 9.67: 9.67
Trigonometric Functions
- Sine of 9.67: -0.24277172735285
- Cosine of 9.67: -0.97008344403877
- Tangent of 9.67: 0.25025860284979
Exponential and Logarithmic Functions
- e^9.67: 15835.349023513
- Natural log of 9.67: 2.2690283094652
Floor and Ceiling Functions
- Floor of 9.67: 9
- Ceiling of 9.67: 10
Interesting Properties and Relationships
- The sum of 9.67 and its additive inverse (-9.67) is always 0.
- The product of 9.67 and its additive inverse is: -93.5089
- The average of 9.67 and its additive inverse is always 0.
- The distance between 9.67 and its additive inverse on a number line is: 19.34
Applications in Algebra
Consider the equation: x + 9.67 = 0
The solution to this equation is x = -9.67, which is the additive inverse of 9.67.
Graphical Representation
On a coordinate plane:
- The point (9.67, 0) is reflected across the y-axis to (-9.67, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 9.67 and Its Additive Inverse
Consider the alternating series: 9.67 + (-9.67) + 9.67 + (-9.67) + ...
The sum of this series oscillates between 0 and 9.67, never converging unless 9.67 is 0.
In Number Theory
For integer values:
- If 9.67 is even, its additive inverse is also even.
- If 9.67 is odd, its additive inverse is also odd.
- The sum of the digits of 9.67 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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