70/74 Additive Inverse :
The additive inverse of 70/74 is -70/74.
This means that when we add 70/74 and -70/74, the result is zero:
70/74 + (-70/74) = 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: 70/74
- Additive inverse: -70/74
To verify: 70/74 + (-70/74) = 0
Extended Mathematical Exploration of 70/74
Let's explore various mathematical operations and concepts related to 70/74 and its additive inverse -70/74.
Basic Operations and Properties
- Square of 70/74: 0.89481373265157
- Cube of 70/74: 0.84644542277851
- Square root of |70/74|: 0.97259752515927
- Reciprocal of 70/74: 1.0571428571429
- Double of 70/74: 1.8918918918919
- Half of 70/74: 0.47297297297297
- Absolute value of 70/74: 0.94594594594595
Trigonometric Functions
- Sine of 70/74: 0.81105065218508
- Cosine of 70/74: 0.58497593077848
- Tangent of 70/74: 1.3864684160693
Exponential and Logarithmic Functions
- e^70/74: 2.5752482724309
- Natural log of 70/74: -0.055569851154811
Floor and Ceiling Functions
- Floor of 70/74: 0
- Ceiling of 70/74: 1
Interesting Properties and Relationships
- The sum of 70/74 and its additive inverse (-70/74) is always 0.
- The product of 70/74 and its additive inverse is: -4900
- The average of 70/74 and its additive inverse is always 0.
- The distance between 70/74 and its additive inverse on a number line is: 140
Applications in Algebra
Consider the equation: x + 70/74 = 0
The solution to this equation is x = -70/74, which is the additive inverse of 70/74.
Graphical Representation
On a coordinate plane:
- The point (70/74, 0) is reflected across the y-axis to (-70/74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 70/74 and Its Additive Inverse
Consider the alternating series: 70/74 + (-70/74) + 70/74 + (-70/74) + ...
The sum of this series oscillates between 0 and 70/74, never converging unless 70/74 is 0.
In Number Theory
For integer values:
- If 70/74 is even, its additive inverse is also even.
- If 70/74 is odd, its additive inverse is also odd.
- The sum of the digits of 70/74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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