31.464 Additive Inverse :
The additive inverse of 31.464 is -31.464.
This means that when we add 31.464 and -31.464, the result is zero:
31.464 + (-31.464) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 31.464
- Additive inverse: -31.464
To verify: 31.464 + (-31.464) = 0
Extended Mathematical Exploration of 31.464
Let's explore various mathematical operations and concepts related to 31.464 and its additive inverse -31.464.
Basic Operations and Properties
- Square of 31.464: 989.983296
- Cube of 31.464: 31148.834425344
- Square root of |31.464|: 5.6092780284097
- Reciprocal of 31.464: 0.031782354436817
- Double of 31.464: 62.928
- Half of 31.464: 15.732
- Absolute value of 31.464: 31.464
Trigonometric Functions
- Sine of 31.464: 0.048054949481375
- Cosine of 31.464: 0.99884469354867
- Tangent of 31.464: 0.048110531889243
Exponential and Logarithmic Functions
- e^31.464: 46199957772469
- Natural log of 31.464: 3.4488440351295
Floor and Ceiling Functions
- Floor of 31.464: 31
- Ceiling of 31.464: 32
Interesting Properties and Relationships
- The sum of 31.464 and its additive inverse (-31.464) is always 0.
- The product of 31.464 and its additive inverse is: -989.983296
- The average of 31.464 and its additive inverse is always 0.
- The distance between 31.464 and its additive inverse on a number line is: 62.928
Applications in Algebra
Consider the equation: x + 31.464 = 0
The solution to this equation is x = -31.464, which is the additive inverse of 31.464.
Graphical Representation
On a coordinate plane:
- The point (31.464, 0) is reflected across the y-axis to (-31.464, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 31.464 and Its Additive Inverse
Consider the alternating series: 31.464 + (-31.464) + 31.464 + (-31.464) + ...
The sum of this series oscillates between 0 and 31.464, never converging unless 31.464 is 0.
In Number Theory
For integer values:
- If 31.464 is even, its additive inverse is also even.
- If 31.464 is odd, its additive inverse is also odd.
- The sum of the digits of 31.464 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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