74.9 Additive Inverse :
The additive inverse of 74.9 is -74.9.
This means that when we add 74.9 and -74.9, the result is zero:
74.9 + (-74.9) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.9
- Additive inverse: -74.9
To verify: 74.9 + (-74.9) = 0
Extended Mathematical Exploration of 74.9
Let's explore various mathematical operations and concepts related to 74.9 and its additive inverse -74.9.
Basic Operations and Properties
- Square of 74.9: 5610.01
- Cube of 74.9: 420189.749
- Square root of |74.9|: 8.6544786093675
- Reciprocal of 74.9: 0.013351134846462
- Double of 74.9: 149.8
- Half of 74.9: 37.45
- Absolute value of 74.9: 74.9
Trigonometric Functions
- Sine of 74.9: -0.47786592100588
- Cosine of 74.9: 0.87843278715062
- Tangent of 74.9: -0.5439982751053
Exponential and Logarithmic Functions
- e^74.9: 3.377977049287E+32
- Natural log of 74.9: 4.3161538905232
Floor and Ceiling Functions
- Floor of 74.9: 74
- Ceiling of 74.9: 75
Interesting Properties and Relationships
- The sum of 74.9 and its additive inverse (-74.9) is always 0.
- The product of 74.9 and its additive inverse is: -5610.01
- The average of 74.9 and its additive inverse is always 0.
- The distance between 74.9 and its additive inverse on a number line is: 149.8
Applications in Algebra
Consider the equation: x + 74.9 = 0
The solution to this equation is x = -74.9, which is the additive inverse of 74.9.
Graphical Representation
On a coordinate plane:
- The point (74.9, 0) is reflected across the y-axis to (-74.9, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.9 and Its Additive Inverse
Consider the alternating series: 74.9 + (-74.9) + 74.9 + (-74.9) + ...
The sum of this series oscillates between 0 and 74.9, never converging unless 74.9 is 0.
In Number Theory
For integer values:
- If 74.9 is even, its additive inverse is also even.
- If 74.9 is odd, its additive inverse is also odd.
- The sum of the digits of 74.9 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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