67.875 Additive Inverse :
The additive inverse of 67.875 is -67.875.
This means that when we add 67.875 and -67.875, the result is zero:
67.875 + (-67.875) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 67.875
- Additive inverse: -67.875
To verify: 67.875 + (-67.875) = 0
Extended Mathematical Exploration of 67.875
Let's explore various mathematical operations and concepts related to 67.875 and its additive inverse -67.875.
Basic Operations and Properties
- Square of 67.875: 4607.015625
- Cube of 67.875: 312701.18554688
- Square root of |67.875|: 8.238628526642
- Reciprocal of 67.875: 0.014732965009208
- Double of 67.875: 135.75
- Half of 67.875: 33.9375
- Absolute value of 67.875: 67.875
Trigonometric Functions
- Sine of 67.875: -0.94579646410162
- Cosine of 67.875: 0.32475998597868
- Tangent of 67.875: -2.912293709003
Exponential and Logarithmic Functions
- e^67.875: 3.0042630696077E+29
- Natural log of 67.875: 4.2176677782541
Floor and Ceiling Functions
- Floor of 67.875: 67
- Ceiling of 67.875: 68
Interesting Properties and Relationships
- The sum of 67.875 and its additive inverse (-67.875) is always 0.
- The product of 67.875 and its additive inverse is: -4607.015625
- The average of 67.875 and its additive inverse is always 0.
- The distance between 67.875 and its additive inverse on a number line is: 135.75
Applications in Algebra
Consider the equation: x + 67.875 = 0
The solution to this equation is x = -67.875, which is the additive inverse of 67.875.
Graphical Representation
On a coordinate plane:
- The point (67.875, 0) is reflected across the y-axis to (-67.875, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67.875 and Its Additive Inverse
Consider the alternating series: 67.875 + (-67.875) + 67.875 + (-67.875) + ...
The sum of this series oscillates between 0 and 67.875, never converging unless 67.875 is 0.
In Number Theory
For integer values:
- If 67.875 is even, its additive inverse is also even.
- If 67.875 is odd, its additive inverse is also odd.
- The sum of the digits of 67.875 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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