74.98 Additive Inverse :
The additive inverse of 74.98 is -74.98.
This means that when we add 74.98 and -74.98, the result is zero:
74.98 + (-74.98) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 74.98
- Additive inverse: -74.98
To verify: 74.98 + (-74.98) = 0
Extended Mathematical Exploration of 74.98
Let's explore various mathematical operations and concepts related to 74.98 and its additive inverse -74.98.
Basic Operations and Properties
- Square of 74.98: 5622.0004
- Cube of 74.98: 421537.589992
- Square root of |74.98|: 8.6590992603157
- Reciprocal of 74.98: 0.01333688983729
- Double of 74.98: 149.96
- Half of 74.98: 37.49
- Absolute value of 74.98: 74.98
Trigonometric Functions
- Sine of 74.98: -0.4061378780849
- Cosine of 74.98: 0.91381180993938
- Tangent of 74.98: -0.44444367392433
Exponential and Logarithmic Functions
- e^74.98: 3.6593188523955E+32
- Natural log of 74.98: 4.3172214113078
Floor and Ceiling Functions
- Floor of 74.98: 74
- Ceiling of 74.98: 75
Interesting Properties and Relationships
- The sum of 74.98 and its additive inverse (-74.98) is always 0.
- The product of 74.98 and its additive inverse is: -5622.0004
- The average of 74.98 and its additive inverse is always 0.
- The distance between 74.98 and its additive inverse on a number line is: 149.96
Applications in Algebra
Consider the equation: x + 74.98 = 0
The solution to this equation is x = -74.98, which is the additive inverse of 74.98.
Graphical Representation
On a coordinate plane:
- The point (74.98, 0) is reflected across the y-axis to (-74.98, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74.98 and Its Additive Inverse
Consider the alternating series: 74.98 + (-74.98) + 74.98 + (-74.98) + ...
The sum of this series oscillates between 0 and 74.98, never converging unless 74.98 is 0.
In Number Theory
For integer values:
- If 74.98 is even, its additive inverse is also even.
- If 74.98 is odd, its additive inverse is also odd.
- The sum of the digits of 74.98 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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