40/46 Additive Inverse :
The additive inverse of 40/46 is -40/46.
This means that when we add 40/46 and -40/46, the result is zero:
40/46 + (-40/46) = 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: 40/46
- Additive inverse: -40/46
To verify: 40/46 + (-40/46) = 0
Extended Mathematical Exploration of 40/46
Let's explore various mathematical operations and concepts related to 40/46 and its additive inverse -40/46.
Basic Operations and Properties
- Square of 40/46: 0.75614366729679
- Cube of 40/46: 0.65751623243199
- Square root of |40/46|: 0.93250480824031
- Reciprocal of 40/46: 1.15
- Double of 40/46: 1.7391304347826
- Half of 40/46: 0.43478260869565
- Absolute value of 40/46: 0.8695652173913
Trigonometric Functions
- Sine of 40/46: 0.76404850542316
- Cosine of 40/46: 0.64515880321098
- Tangent of 40/46: 1.1842797488315
Exponential and Logarithmic Functions
- e^40/46: 2.3858732917699
- Natural log of 40/46: -0.13976194237516
Floor and Ceiling Functions
- Floor of 40/46: 0
- Ceiling of 40/46: 1
Interesting Properties and Relationships
- The sum of 40/46 and its additive inverse (-40/46) is always 0.
- The product of 40/46 and its additive inverse is: -1600
- The average of 40/46 and its additive inverse is always 0.
- The distance between 40/46 and its additive inverse on a number line is: 80
Applications in Algebra
Consider the equation: x + 40/46 = 0
The solution to this equation is x = -40/46, which is the additive inverse of 40/46.
Graphical Representation
On a coordinate plane:
- The point (40/46, 0) is reflected across the y-axis to (-40/46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 40/46 and Its Additive Inverse
Consider the alternating series: 40/46 + (-40/46) + 40/46 + (-40/46) + ...
The sum of this series oscillates between 0 and 40/46, never converging unless 40/46 is 0.
In Number Theory
For integer values:
- If 40/46 is even, its additive inverse is also even.
- If 40/46 is odd, its additive inverse is also odd.
- The sum of the digits of 40/46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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