90 Additive Inverse :
The additive inverse of 90 is -90.
This means that when we add 90 and -90, the result is zero:
90 + (-90) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 90
- Additive inverse: -90
To verify: 90 + (-90) = 0
Extended Mathematical Exploration of 90
Let's explore various mathematical operations and concepts related to 90 and its additive inverse -90.
Basic Operations and Properties
- Square of 90: 8100
- Cube of 90: 729000
- Square root of |90|: 9.4868329805051
- Reciprocal of 90: 0.011111111111111
- Double of 90: 180
- Half of 90: 45
- Absolute value of 90: 90
Trigonometric Functions
- Sine of 90: 0.89399666360056
- Cosine of 90: -0.44807361612917
- Tangent of 90: -1.9952004122082
Exponential and Logarithmic Functions
- e^90: 1.2204032943178E+39
- Natural log of 90: 4.4998096703303
Floor and Ceiling Functions
- Floor of 90: 90
- Ceiling of 90: 90
Interesting Properties and Relationships
- The sum of 90 and its additive inverse (-90) is always 0.
- The product of 90 and its additive inverse is: -8100
- The average of 90 and its additive inverse is always 0.
- The distance between 90 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90 = 0
The solution to this equation is x = -90, which is the additive inverse of 90.
Graphical Representation
On a coordinate plane:
- The point (90, 0) is reflected across the y-axis to (-90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90 and Its Additive Inverse
Consider the alternating series: 90 + (-90) + 90 + (-90) + ...
The sum of this series oscillates between 0 and 90, never converging unless 90 is 0.
In Number Theory
For integer values:
- If 90 is even, its additive inverse is also even.
- If 90 is odd, its additive inverse is also odd.
- The sum of the digits of 90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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