8.7 Additive Inverse :
The additive inverse of 8.7 is -8.7.
This means that when we add 8.7 and -8.7, the result is zero:
8.7 + (-8.7) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 8.7
- Additive inverse: -8.7
To verify: 8.7 + (-8.7) = 0
Extended Mathematical Exploration of 8.7
Let's explore various mathematical operations and concepts related to 8.7 and its additive inverse -8.7.
Basic Operations and Properties
- Square of 8.7: 75.69
- Cube of 8.7: 658.503
- Square root of |8.7|: 2.9495762407505
- Reciprocal of 8.7: 0.11494252873563
- Double of 8.7: 17.4
- Half of 8.7: 4.35
- Absolute value of 8.7: 8.7
Trigonometric Functions
- Sine of 8.7: 0.66296923008218
- Cosine of 8.7: -0.7486466455974
- Tangent of 8.7: -0.88555693661481
Exponential and Logarithmic Functions
- e^8.7: 6002.912217261
- Natural log of 8.7: 2.1633230256605
Floor and Ceiling Functions
- Floor of 8.7: 8
- Ceiling of 8.7: 9
Interesting Properties and Relationships
- The sum of 8.7 and its additive inverse (-8.7) is always 0.
- The product of 8.7 and its additive inverse is: -75.69
- The average of 8.7 and its additive inverse is always 0.
- The distance between 8.7 and its additive inverse on a number line is: 17.4
Applications in Algebra
Consider the equation: x + 8.7 = 0
The solution to this equation is x = -8.7, which is the additive inverse of 8.7.
Graphical Representation
On a coordinate plane:
- The point (8.7, 0) is reflected across the y-axis to (-8.7, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 8.7 and Its Additive Inverse
Consider the alternating series: 8.7 + (-8.7) + 8.7 + (-8.7) + ...
The sum of this series oscillates between 0 and 8.7, never converging unless 8.7 is 0.
In Number Theory
For integer values:
- If 8.7 is even, its additive inverse is also even.
- If 8.7 is odd, its additive inverse is also odd.
- The sum of the digits of 8.7 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: