64/74 Additive Inverse :
The additive inverse of 64/74 is -64/74.
This means that when we add 64/74 and -64/74, the result is zero:
64/74 + (-64/74) = 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: 64/74
- Additive inverse: -64/74
To verify: 64/74 + (-64/74) = 0
Extended Mathematical Exploration of 64/74
Let's explore various mathematical operations and concepts related to 64/74 and its additive inverse -64/74.
Basic Operations and Properties
- Square of 64/74: 0.74799123447772
- Cube of 64/74: 0.64691133792668
- Square root of |64/74|: 0.92998110995055
- Reciprocal of 64/74: 1.15625
- Double of 64/74: 1.7297297297297
- Half of 64/74: 0.43243243243243
- Absolute value of 64/74: 0.86486486486486
Trigonometric Functions
- Sine of 64/74: 0.76100760261257
- Cosine of 64/74: 0.648742960475
- Tangent of 64/74: 1.1730494956822
Exponential and Logarithmic Functions
- e^64/74: 2.3746851608934
- Natural log of 64/74: -0.1451820098445
Floor and Ceiling Functions
- Floor of 64/74: 0
- Ceiling of 64/74: 1
Interesting Properties and Relationships
- The sum of 64/74 and its additive inverse (-64/74) is always 0.
- The product of 64/74 and its additive inverse is: -4096
- The average of 64/74 and its additive inverse is always 0.
- The distance between 64/74 and its additive inverse on a number line is: 128
Applications in Algebra
Consider the equation: x + 64/74 = 0
The solution to this equation is x = -64/74, which is the additive inverse of 64/74.
Graphical Representation
On a coordinate plane:
- The point (64/74, 0) is reflected across the y-axis to (-64/74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 64/74 and Its Additive Inverse
Consider the alternating series: 64/74 + (-64/74) + 64/74 + (-64/74) + ...
The sum of this series oscillates between 0 and 64/74, never converging unless 64/74 is 0.
In Number Theory
For integer values:
- If 64/74 is even, its additive inverse is also even.
- If 64/74 is odd, its additive inverse is also odd.
- The sum of the digits of 64/74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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