100 Additive Inverse :
The additive inverse of 100 is -100.
This means that when we add 100 and -100, the result is zero:
100 + (-100) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 100
- Additive inverse: -100
To verify: 100 + (-100) = 0
Extended Mathematical Exploration of 100
Let's explore various mathematical operations and concepts related to 100 and its additive inverse -100.
Basic Operations and Properties
- Square of 100: 10000
- Cube of 100: 1000000
- Square root of |100|: 10
- Reciprocal of 100: 0.01
- Double of 100: 200
- Half of 100: 50
- Absolute value of 100: 100
Trigonometric Functions
- Sine of 100: -0.50636564110976
- Cosine of 100: 0.86231887228768
- Tangent of 100: -0.58721391515693
Exponential and Logarithmic Functions
- e^100: 2.6881171418161E+43
- Natural log of 100: 4.6051701859881
Floor and Ceiling Functions
- Floor of 100: 100
- Ceiling of 100: 100
Interesting Properties and Relationships
- The sum of 100 and its additive inverse (-100) is always 0.
- The product of 100 and its additive inverse is: -10000
- The average of 100 and its additive inverse is always 0.
- The distance between 100 and its additive inverse on a number line is: 200
Applications in Algebra
Consider the equation: x + 100 = 0
The solution to this equation is x = -100, which is the additive inverse of 100.
Graphical Representation
On a coordinate plane:
- The point (100, 0) is reflected across the y-axis to (-100, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 100 and Its Additive Inverse
Consider the alternating series: 100 + (-100) + 100 + (-100) + ...
The sum of this series oscillates between 0 and 100, never converging unless 100 is 0.
In Number Theory
For integer values:
- If 100 is even, its additive inverse is also even.
- If 100 is odd, its additive inverse is also odd.
- The sum of the digits of 100 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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