63/74 Additive Inverse :
The additive inverse of 63/74 is -63/74.
This means that when we add 63/74 and -63/74, the result is zero:
63/74 + (-63/74) = 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: 63/74
- Additive inverse: -63/74
To verify: 63/74 + (-63/74) = 0
Extended Mathematical Exploration of 63/74
Let's explore various mathematical operations and concepts related to 63/74 and its additive inverse -63/74.
Basic Operations and Properties
- Square of 63/74: 0.72479912344777
- Cube of 63/74: 0.61705871320554
- Square root of |63/74|: 0.92268702784387
- Reciprocal of 63/74: 1.1746031746032
- Double of 63/74: 1.7027027027027
- Half of 63/74: 0.42567567567568
- Absolute value of 63/74: 0.85135135135135
Trigonometric Functions
- Sine of 63/74: 0.75217158800948
- Cosine of 63/74: 0.65896729978907
- Tangent of 63/74: 1.1414399291896
Exponential and Logarithmic Functions
- e^63/74: 2.3428106740972
- Natural log of 63/74: -0.16093036681264
Floor and Ceiling Functions
- Floor of 63/74: 0
- Ceiling of 63/74: 1
Interesting Properties and Relationships
- The sum of 63/74 and its additive inverse (-63/74) is always 0.
- The product of 63/74 and its additive inverse is: -3969
- The average of 63/74 and its additive inverse is always 0.
- The distance between 63/74 and its additive inverse on a number line is: 126
Applications in Algebra
Consider the equation: x + 63/74 = 0
The solution to this equation is x = -63/74, which is the additive inverse of 63/74.
Graphical Representation
On a coordinate plane:
- The point (63/74, 0) is reflected across the y-axis to (-63/74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 63/74 and Its Additive Inverse
Consider the alternating series: 63/74 + (-63/74) + 63/74 + (-63/74) + ...
The sum of this series oscillates between 0 and 63/74, never converging unless 63/74 is 0.
In Number Theory
For integer values:
- If 63/74 is even, its additive inverse is also even.
- If 63/74 is odd, its additive inverse is also odd.
- The sum of the digits of 63/74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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