21/28 Additive Inverse :
The additive inverse of 21/28 is -21/28.
This means that when we add 21/28 and -21/28, the result is zero:
21/28 + (-21/28) = 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: 21/28
- Additive inverse: -21/28
To verify: 21/28 + (-21/28) = 0
Extended Mathematical Exploration of 21/28
Let's explore various mathematical operations and concepts related to 21/28 and its additive inverse -21/28.
Basic Operations and Properties
- Square of 21/28: 0.5625
- Cube of 21/28: 0.421875
- Square root of |21/28|: 0.86602540378444
- Reciprocal of 21/28: 1.3333333333333
- Double of 21/28: 1.5
- Half of 21/28: 0.375
- Absolute value of 21/28: 0.75
Trigonometric Functions
- Sine of 21/28: 0.68163876002333
- Cosine of 21/28: 0.73168886887382
- Tangent of 21/28: 0.93159645994407
Exponential and Logarithmic Functions
- e^21/28: 2.1170000166127
- Natural log of 21/28: -0.28768207245178
Floor and Ceiling Functions
- Floor of 21/28: 0
- Ceiling of 21/28: 1
Interesting Properties and Relationships
- The sum of 21/28 and its additive inverse (-21/28) is always 0.
- The product of 21/28 and its additive inverse is: -441
- The average of 21/28 and its additive inverse is always 0.
- The distance between 21/28 and its additive inverse on a number line is: 42
Applications in Algebra
Consider the equation: x + 21/28 = 0
The solution to this equation is x = -21/28, which is the additive inverse of 21/28.
Graphical Representation
On a coordinate plane:
- The point (21/28, 0) is reflected across the y-axis to (-21/28, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 21/28 and Its Additive Inverse
Consider the alternating series: 21/28 + (-21/28) + 21/28 + (-21/28) + ...
The sum of this series oscillates between 0 and 21/28, never converging unless 21/28 is 0.
In Number Theory
For integer values:
- If 21/28 is even, its additive inverse is also even.
- If 21/28 is odd, its additive inverse is also odd.
- The sum of the digits of 21/28 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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