3.5 Additive Inverse :
The additive inverse of 3.5 is -3.5.
This means that when we add 3.5 and -3.5, the result is zero:
3.5 + (-3.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 3.5
- Additive inverse: -3.5
To verify: 3.5 + (-3.5) = 0
Extended Mathematical Exploration of 3.5
Let's explore various mathematical operations and concepts related to 3.5 and its additive inverse -3.5.
Basic Operations and Properties
- Square of 3.5: 12.25
- Cube of 3.5: 42.875
- Square root of |3.5|: 1.870828693387
- Reciprocal of 3.5: 0.28571428571429
- Double of 3.5: 7
- Half of 3.5: 1.75
- Absolute value of 3.5: 3.5
Trigonometric Functions
- Sine of 3.5: -0.35078322768962
- Cosine of 3.5: -0.9364566872908
- Tangent of 3.5: 0.37458564015859
Exponential and Logarithmic Functions
- e^3.5: 33.115451958692
- Natural log of 3.5: 1.2527629684954
Floor and Ceiling Functions
- Floor of 3.5: 3
- Ceiling of 3.5: 4
Interesting Properties and Relationships
- The sum of 3.5 and its additive inverse (-3.5) is always 0.
- The product of 3.5 and its additive inverse is: -12.25
- The average of 3.5 and its additive inverse is always 0.
- The distance between 3.5 and its additive inverse on a number line is: 7
Applications in Algebra
Consider the equation: x + 3.5 = 0
The solution to this equation is x = -3.5, which is the additive inverse of 3.5.
Graphical Representation
On a coordinate plane:
- The point (3.5, 0) is reflected across the y-axis to (-3.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 3.5 and Its Additive Inverse
Consider the alternating series: 3.5 + (-3.5) + 3.5 + (-3.5) + ...
The sum of this series oscillates between 0 and 3.5, never converging unless 3.5 is 0.
In Number Theory
For integer values:
- If 3.5 is even, its additive inverse is also even.
- If 3.5 is odd, its additive inverse is also odd.
- The sum of the digits of 3.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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