46/60 Additive Inverse :
The additive inverse of 46/60 is -46/60.
This means that when we add 46/60 and -46/60, the result is zero:
46/60 + (-46/60) = 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: 46/60
- Additive inverse: -46/60
To verify: 46/60 + (-46/60) = 0
Extended Mathematical Exploration of 46/60
Let's explore various mathematical operations and concepts related to 46/60 and its additive inverse -46/60.
Basic Operations and Properties
- Square of 46/60: 0.58777777777778
- Cube of 46/60: 0.45062962962963
- Square root of |46/60|: 0.87559503577091
- Reciprocal of 46/60: 1.304347826087
- Double of 46/60: 1.5333333333333
- Half of 46/60: 0.38333333333333
- Absolute value of 46/60: 0.76666666666667
Trigonometric Functions
- Sine of 46/60: 0.69373834007912
- Cosine of 46/60: 0.72022712772032
- Tangent of 46/60: 0.96322161909529
Exponential and Logarithmic Functions
- e^46/60: 2.1525790183196
- Natural log of 46/60: -0.26570316573301
Floor and Ceiling Functions
- Floor of 46/60: 0
- Ceiling of 46/60: 1
Interesting Properties and Relationships
- The sum of 46/60 and its additive inverse (-46/60) is always 0.
- The product of 46/60 and its additive inverse is: -2116
- The average of 46/60 and its additive inverse is always 0.
- The distance between 46/60 and its additive inverse on a number line is: 92
Applications in Algebra
Consider the equation: x + 46/60 = 0
The solution to this equation is x = -46/60, which is the additive inverse of 46/60.
Graphical Representation
On a coordinate plane:
- The point (46/60, 0) is reflected across the y-axis to (-46/60, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 46/60 and Its Additive Inverse
Consider the alternating series: 46/60 + (-46/60) + 46/60 + (-46/60) + ...
The sum of this series oscillates between 0 and 46/60, never converging unless 46/60 is 0.
In Number Theory
For integer values:
- If 46/60 is even, its additive inverse is also even.
- If 46/60 is odd, its additive inverse is also odd.
- The sum of the digits of 46/60 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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