74.25 Additive Inverse :
The additive inverse of 74.25 is -74.25.
This means that when we add 74.25 and -74.25, the result is zero:
74.25 + (-74.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.25
- Additive inverse: -74.25
To verify: 74.25 + (-74.25) = 0
Extended Mathematical Exploration of 74.25
Let's explore various mathematical operations and concepts related to 74.25 and its additive inverse -74.25.
Basic Operations and Properties
- Square of 74.25: 5513.0625
- Cube of 74.25: 409344.890625
- Square root of |74.25|: 8.616843969807
- Reciprocal of 74.25: 0.013468013468013
- Double of 74.25: 148.5
- Half of 74.25: 37.125
- Absolute value of 74.25: 74.25
Trigonometric Functions
- Sine of 74.25: -0.91203689872788
- Cosine of 74.25: 0.41010815080761
- Tangent of 74.25: -2.2238936166761
Exponential and Logarithmic Functions
- e^74.25: 1.7634586525759E+32
- Natural log of 74.25: 4.3074377776828
Floor and Ceiling Functions
- Floor of 74.25: 74
- Ceiling of 74.25: 75
Interesting Properties and Relationships
- The sum of 74.25 and its additive inverse (-74.25) is always 0.
- The product of 74.25 and its additive inverse is: -5513.0625
- The average of 74.25 and its additive inverse is always 0.
- The distance between 74.25 and its additive inverse on a number line is: 148.5
Applications in Algebra
Consider the equation: x + 74.25 = 0
The solution to this equation is x = -74.25, which is the additive inverse of 74.25.
Graphical Representation
On a coordinate plane:
- The point (74.25, 0) is reflected across the y-axis to (-74.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.25 and Its Additive Inverse
Consider the alternating series: 74.25 + (-74.25) + 74.25 + (-74.25) + ...
The sum of this series oscillates between 0 and 74.25, never converging unless 74.25 is 0.
In Number Theory
For integer values:
- If 74.25 is even, its additive inverse is also even.
- If 74.25 is odd, its additive inverse is also odd.
- The sum of the digits of 74.25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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