40/48 Additive Inverse :
The additive inverse of 40/48 is -40/48.
This means that when we add 40/48 and -40/48, the result is zero:
40/48 + (-40/48) = 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: 40/48
- Additive inverse: -40/48
To verify: 40/48 + (-40/48) = 0
Extended Mathematical Exploration of 40/48
Let's explore various mathematical operations and concepts related to 40/48 and its additive inverse -40/48.
Basic Operations and Properties
- Square of 40/48: 0.69444444444444
- Cube of 40/48: 0.5787037037037
- Square root of |40/48|: 0.91287092917528
- Reciprocal of 40/48: 1.2
- Double of 40/48: 1.6666666666667
- Half of 40/48: 0.41666666666667
- Absolute value of 40/48: 0.83333333333333
Trigonometric Functions
- Sine of 40/48: 0.74017685319604
- Cosine of 40/48: 0.67241224408306
- Tangent of 40/48: 1.1007783687898
Exponential and Logarithmic Functions
- e^40/48: 2.3009758908928
- Natural log of 40/48: -0.18232155679395
Floor and Ceiling Functions
- Floor of 40/48: 0
- Ceiling of 40/48: 1
Interesting Properties and Relationships
- The sum of 40/48 and its additive inverse (-40/48) is always 0.
- The product of 40/48 and its additive inverse is: -1600
- The average of 40/48 and its additive inverse is always 0.
- The distance between 40/48 and its additive inverse on a number line is: 80
Applications in Algebra
Consider the equation: x + 40/48 = 0
The solution to this equation is x = -40/48, which is the additive inverse of 40/48.
Graphical Representation
On a coordinate plane:
- The point (40/48, 0) is reflected across the y-axis to (-40/48, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 40/48 and Its Additive Inverse
Consider the alternating series: 40/48 + (-40/48) + 40/48 + (-40/48) + ...
The sum of this series oscillates between 0 and 40/48, never converging unless 40/48 is 0.
In Number Theory
For integer values:
- If 40/48 is even, its additive inverse is also even.
- If 40/48 is odd, its additive inverse is also odd.
- The sum of the digits of 40/48 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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