42.474 Additive Inverse :
The additive inverse of 42.474 is -42.474.
This means that when we add 42.474 and -42.474, the result is zero:
42.474 + (-42.474) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 42.474
- Additive inverse: -42.474
To verify: 42.474 + (-42.474) = 0
Extended Mathematical Exploration of 42.474
Let's explore various mathematical operations and concepts related to 42.474 and its additive inverse -42.474.
Basic Operations and Properties
- Square of 42.474: 1804.040676
- Cube of 42.474: 76624.823672424
- Square root of |42.474|: 6.5172079911569
- Reciprocal of 42.474: 0.023543815039789
- Double of 42.474: 84.948
- Half of 42.474: 21.237
- Absolute value of 42.474: 42.474
Trigonometric Functions
- Sine of 42.474: -0.99804756213265
- Cosine of 42.474: 0.062458495987948
- Tangent of 42.474: -15.979372323106
Exponential and Logarithmic Functions
- e^42.474: 2.7939834184203E+18
- Natural log of 42.474: 3.7488921240201
Floor and Ceiling Functions
- Floor of 42.474: 42
- Ceiling of 42.474: 43
Interesting Properties and Relationships
- The sum of 42.474 and its additive inverse (-42.474) is always 0.
- The product of 42.474 and its additive inverse is: -1804.040676
- The average of 42.474 and its additive inverse is always 0.
- The distance between 42.474 and its additive inverse on a number line is: 84.948
Applications in Algebra
Consider the equation: x + 42.474 = 0
The solution to this equation is x = -42.474, which is the additive inverse of 42.474.
Graphical Representation
On a coordinate plane:
- The point (42.474, 0) is reflected across the y-axis to (-42.474, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 42.474 and Its Additive Inverse
Consider the alternating series: 42.474 + (-42.474) + 42.474 + (-42.474) + ...
The sum of this series oscillates between 0 and 42.474, never converging unless 42.474 is 0.
In Number Theory
For integer values:
- If 42.474 is even, its additive inverse is also even.
- If 42.474 is odd, its additive inverse is also odd.
- The sum of the digits of 42.474 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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