900 Additive Inverse :
The additive inverse of 900 is -900.
This means that when we add 900 and -900, the result is zero:
900 + (-900) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 900
- Additive inverse: -900
To verify: 900 + (-900) = 0
Extended Mathematical Exploration of 900
Let's explore various mathematical operations and concepts related to 900 and its additive inverse -900.
Basic Operations and Properties
- Square of 900: 810000
- Cube of 900: 729000000
- Square root of |900|: 30
- Reciprocal of 900: 0.0011111111111111
- Double of 900: 1800
- Half of 900: 450
- Absolute value of 900: 900
Trigonometric Functions
- Sine of 900: 0.99780327442197
- Cosine of 900: 0.066246702203158
- Tangent of 900: 15.06193125451
Exponential and Logarithmic Functions
- e^900: INF
- Natural log of 900: 6.8023947633243
Floor and Ceiling Functions
- Floor of 900: 900
- Ceiling of 900: 900
Interesting Properties and Relationships
- The sum of 900 and its additive inverse (-900) is always 0.
- The product of 900 and its additive inverse is: -810000
- The average of 900 and its additive inverse is always 0.
- The distance between 900 and its additive inverse on a number line is: 1800
Applications in Algebra
Consider the equation: x + 900 = 0
The solution to this equation is x = -900, which is the additive inverse of 900.
Graphical Representation
On a coordinate plane:
- The point (900, 0) is reflected across the y-axis to (-900, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 900 and Its Additive Inverse
Consider the alternating series: 900 + (-900) + 900 + (-900) + ...
The sum of this series oscillates between 0 and 900, never converging unless 900 is 0.
In Number Theory
For integer values:
- If 900 is even, its additive inverse is also even.
- If 900 is odd, its additive inverse is also odd.
- The sum of the digits of 900 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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