8.426 Additive Inverse :
The additive inverse of 8.426 is -8.426.
This means that when we add 8.426 and -8.426, the result is zero:
8.426 + (-8.426) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 8.426
- Additive inverse: -8.426
To verify: 8.426 + (-8.426) = 0
Extended Mathematical Exploration of 8.426
Let's explore various mathematical operations and concepts related to 8.426 and its additive inverse -8.426.
Basic Operations and Properties
- Square of 8.426: 70.997476
- Cube of 8.426: 598.224732776
- Square root of |8.426|: 2.9027573098694
- Reciprocal of 8.426: 0.11868027533824
- Double of 8.426: 16.852
- Half of 8.426: 4.213
- Absolute value of 8.426: 8.426
Trigonometric Functions
- Sine of 8.426: 0.84081008604023
- Cosine of 8.426: -0.54133021272881
- Tangent of 8.426: -1.5532295561368
Exponential and Logarithmic Functions
- e^8.426: 4564.206703759
- Natural log of 8.426: 2.1313221635568
Floor and Ceiling Functions
- Floor of 8.426: 8
- Ceiling of 8.426: 9
Interesting Properties and Relationships
- The sum of 8.426 and its additive inverse (-8.426) is always 0.
- The product of 8.426 and its additive inverse is: -70.997476
- The average of 8.426 and its additive inverse is always 0.
- The distance between 8.426 and its additive inverse on a number line is: 16.852
Applications in Algebra
Consider the equation: x + 8.426 = 0
The solution to this equation is x = -8.426, which is the additive inverse of 8.426.
Graphical Representation
On a coordinate plane:
- The point (8.426, 0) is reflected across the y-axis to (-8.426, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 8.426 and Its Additive Inverse
Consider the alternating series: 8.426 + (-8.426) + 8.426 + (-8.426) + ...
The sum of this series oscillates between 0 and 8.426, never converging unless 8.426 is 0.
In Number Theory
For integer values:
- If 8.426 is even, its additive inverse is also even.
- If 8.426 is odd, its additive inverse is also odd.
- The sum of the digits of 8.426 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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