3.464 Additive Inverse :
The additive inverse of 3.464 is -3.464.
This means that when we add 3.464 and -3.464, the result is zero:
3.464 + (-3.464) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 3.464
- Additive inverse: -3.464
To verify: 3.464 + (-3.464) = 0
Extended Mathematical Exploration of 3.464
Let's explore various mathematical operations and concepts related to 3.464 and its additive inverse -3.464.
Basic Operations and Properties
- Square of 3.464: 11.999296
- Cube of 3.464: 41.565561344
- Square root of |3.464|: 1.8611824198611
- Reciprocal of 3.464: 0.28868360277136
- Double of 3.464: 6.928
- Half of 3.464: 1.732
- Absolute value of 3.464: 3.464
Trigonometric Functions
- Sine of 3.464: -0.31685078537911
- Cosine of 3.464: -0.94847539757478
- Tangent of 3.464: 0.33406326214606
Exponential and Logarithmic Functions
- e^3.464: 31.944499296259
- Natural log of 3.464: 1.2424239907002
Floor and Ceiling Functions
- Floor of 3.464: 3
- Ceiling of 3.464: 4
Interesting Properties and Relationships
- The sum of 3.464 and its additive inverse (-3.464) is always 0.
- The product of 3.464 and its additive inverse is: -11.999296
- The average of 3.464 and its additive inverse is always 0.
- The distance between 3.464 and its additive inverse on a number line is: 6.928
Applications in Algebra
Consider the equation: x + 3.464 = 0
The solution to this equation is x = -3.464, which is the additive inverse of 3.464.
Graphical Representation
On a coordinate plane:
- The point (3.464, 0) is reflected across the y-axis to (-3.464, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 3.464 and Its Additive Inverse
Consider the alternating series: 3.464 + (-3.464) + 3.464 + (-3.464) + ...
The sum of this series oscillates between 0 and 3.464, never converging unless 3.464 is 0.
In Number Theory
For integer values:
- If 3.464 is even, its additive inverse is also even.
- If 3.464 is odd, its additive inverse is also odd.
- The sum of the digits of 3.464 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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