7/10 Additive Inverse :
The additive inverse of 7/10 is -7/10.
This means that when we add 7/10 and -7/10, the result is zero:
7/10 + (-7/10) = 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: 7/10
- Additive inverse: -7/10
To verify: 7/10 + (-7/10) = 0
Extended Mathematical Exploration of 7/10
Let's explore various mathematical operations and concepts related to 7/10 and its additive inverse -7/10.
Basic Operations and Properties
- Square of 7/10: 0.49
- Cube of 7/10: 0.343
- Square root of |7/10|: 0.83666002653408
- Reciprocal of 7/10: 1.4285714285714
- Double of 7/10: 1.4
- Half of 7/10: 0.35
- Absolute value of 7/10: 0.7
Trigonometric Functions
- Sine of 7/10: 0.64421768723769
- Cosine of 7/10: 0.76484218728449
- Tangent of 7/10: 0.84228838046308
Exponential and Logarithmic Functions
- e^7/10: 2.0137527074705
- Natural log of 7/10: -0.35667494393873
Floor and Ceiling Functions
- Floor of 7/10: 0
- Ceiling of 7/10: 1
Interesting Properties and Relationships
- The sum of 7/10 and its additive inverse (-7/10) is always 0.
- The product of 7/10 and its additive inverse is: -49
- The average of 7/10 and its additive inverse is always 0.
- The distance between 7/10 and its additive inverse on a number line is: 14
Applications in Algebra
Consider the equation: x + 7/10 = 0
The solution to this equation is x = -7/10, which is the additive inverse of 7/10.
Graphical Representation
On a coordinate plane:
- The point (7/10, 0) is reflected across the y-axis to (-7/10, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7/10 and Its Additive Inverse
Consider the alternating series: 7/10 + (-7/10) + 7/10 + (-7/10) + ...
The sum of this series oscillates between 0 and 7/10, never converging unless 7/10 is 0.
In Number Theory
For integer values:
- If 7/10 is even, its additive inverse is also even.
- If 7/10 is odd, its additive inverse is also odd.
- The sum of the digits of 7/10 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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