21/25 Additive Inverse :
The additive inverse of 21/25 is -21/25.
This means that when we add 21/25 and -21/25, the result is zero:
21/25 + (-21/25) = 0
Additive Inverse of a Fraction
For fractions, the additive inverse is found by negating the numerator or denominator, but not both. In this case:
- Original fraction: 21/25
- Additive inverse: -21/25
To verify: 21/25 + (-21/25) = 0
Extended Mathematical Exploration of 21/25
Let's explore various mathematical operations and concepts related to 21/25 and its additive inverse -21/25.
Basic Operations and Properties
- Square of 21/25: 0.7056
- Cube of 21/25: 0.592704
- Square root of |21/25|: 0.91651513899117
- Reciprocal of 21/25: 1.1904761904762
- Double of 21/25: 1.68
- Half of 21/25: 0.42
- Absolute value of 21/25: 0.84
Trigonometric Functions
- Sine of 21/25: 0.74464311997086
- Cosine of 21/25: 0.66746282584131
- Tangent of 21/25: 1.1156323485615
Exponential and Logarithmic Functions
- e^21/25: 2.3163669767811
- Natural log of 21/25: -0.17435338714478
Floor and Ceiling Functions
- Floor of 21/25: 0
- Ceiling of 21/25: 1
Interesting Properties and Relationships
- The sum of 21/25 and its additive inverse (-21/25) is always 0.
- The product of 21/25 and its additive inverse is: -441
- The average of 21/25 and its additive inverse is always 0.
- The distance between 21/25 and its additive inverse on a number line is: 42
Applications in Algebra
Consider the equation: x + 21/25 = 0
The solution to this equation is x = -21/25, which is the additive inverse of 21/25.
Graphical Representation
On a coordinate plane:
- The point (21/25, 0) is reflected across the y-axis to (-21/25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 21/25 and Its Additive Inverse
Consider the alternating series: 21/25 + (-21/25) + 21/25 + (-21/25) + ...
The sum of this series oscillates between 0 and 21/25, never converging unless 21/25 is 0.
In Number Theory
For integer values:
- If 21/25 is even, its additive inverse is also even.
- If 21/25 is odd, its additive inverse is also odd.
- The sum of the digits of 21/25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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