74.78 Additive Inverse :
The additive inverse of 74.78 is -74.78.
This means that when we add 74.78 and -74.78, the result is zero:
74.78 + (-74.78) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.78
- Additive inverse: -74.78
To verify: 74.78 + (-74.78) = 0
Extended Mathematical Exploration of 74.78
Let's explore various mathematical operations and concepts related to 74.78 and its additive inverse -74.78.
Basic Operations and Properties
- Square of 74.78: 5592.0484
- Cube of 74.78: 418173.379352
- Square root of |74.78|: 8.6475430036514
- Reciprocal of 74.78: 0.01337255950789
- Double of 74.78: 149.56
- Half of 74.78: 37.39
- Absolute value of 74.78: 74.78
Trigonometric Functions
- Sine of 74.78: -0.57958854105966
- Cosine of 74.78: 0.81490927290855
- Tangent of 74.78: -0.71123075945744
Exponential and Logarithmic Functions
- e^74.78: 2.9959968797742E+32
- Natural log of 74.78: 4.314550469549
Floor and Ceiling Functions
- Floor of 74.78: 74
- Ceiling of 74.78: 75
Interesting Properties and Relationships
- The sum of 74.78 and its additive inverse (-74.78) is always 0.
- The product of 74.78 and its additive inverse is: -5592.0484
- The average of 74.78 and its additive inverse is always 0.
- The distance between 74.78 and its additive inverse on a number line is: 149.56
Applications in Algebra
Consider the equation: x + 74.78 = 0
The solution to this equation is x = -74.78, which is the additive inverse of 74.78.
Graphical Representation
On a coordinate plane:
- The point (74.78, 0) is reflected across the y-axis to (-74.78, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.78 and Its Additive Inverse
Consider the alternating series: 74.78 + (-74.78) + 74.78 + (-74.78) + ...
The sum of this series oscillates between 0 and 74.78, never converging unless 74.78 is 0.
In Number Theory
For integer values:
- If 74.78 is even, its additive inverse is also even.
- If 74.78 is odd, its additive inverse is also odd.
- The sum of the digits of 74.78 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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