71/74 Additive Inverse :
The additive inverse of 71/74 is -71/74.
This means that when we add 71/74 and -71/74, the result is zero:
71/74 + (-71/74) = 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: 71/74
- Additive inverse: -71/74
To verify: 71/74 + (-71/74) = 0
Extended Mathematical Exploration of 71/74
Let's explore various mathematical operations and concepts related to 71/74 and its additive inverse -71/74.
Basic Operations and Properties
- Square of 71/74: 0.92056245434624
- Cube of 71/74: 0.88324235484571
- Square root of |71/74|: 0.97952001483352
- Reciprocal of 71/74: 1.0422535211268
- Double of 71/74: 1.9189189189189
- Half of 71/74: 0.47972972972973
- Absolute value of 71/74: 0.95945945945946
Trigonometric Functions
- Sine of 71/74: 0.81888143783545
- Cosine of 71/74: 0.57396270851733
- Tangent of 71/74: 1.4267154044743
Exponential and Logarithmic Functions
- e^71/74: 2.610285127079
- Natural log of 71/74: -0.041385216162854
Floor and Ceiling Functions
- Floor of 71/74: 0
- Ceiling of 71/74: 1
Interesting Properties and Relationships
- The sum of 71/74 and its additive inverse (-71/74) is always 0.
- The product of 71/74 and its additive inverse is: -5041
- The average of 71/74 and its additive inverse is always 0.
- The distance between 71/74 and its additive inverse on a number line is: 142
Applications in Algebra
Consider the equation: x + 71/74 = 0
The solution to this equation is x = -71/74, which is the additive inverse of 71/74.
Graphical Representation
On a coordinate plane:
- The point (71/74, 0) is reflected across the y-axis to (-71/74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 71/74 and Its Additive Inverse
Consider the alternating series: 71/74 + (-71/74) + 71/74 + (-71/74) + ...
The sum of this series oscillates between 0 and 71/74, never converging unless 71/74 is 0.
In Number Theory
For integer values:
- If 71/74 is even, its additive inverse is also even.
- If 71/74 is odd, its additive inverse is also odd.
- The sum of the digits of 71/74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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