48 Additive Inverse :
The additive inverse of 48 is -48.
This means that when we add 48 and -48, the result is zero:
48 + (-48) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 48
- Additive inverse: -48
To verify: 48 + (-48) = 0
Extended Mathematical Exploration of 48
Let's explore various mathematical operations and concepts related to 48 and its additive inverse -48.
Basic Operations and Properties
- Square of 48: 2304
- Cube of 48: 110592
- Square root of |48|: 6.9282032302755
- Reciprocal of 48: 0.020833333333333
- Double of 48: 96
- Half of 48: 24
- Absolute value of 48: 48
Trigonometric Functions
- Sine of 48: -0.76825466132367
- Cosine of 48: -0.6401443394692
- Tangent of 48: 1.2001272431163
Exponential and Logarithmic Functions
- e^48: 7.0167359120976E+20
- Natural log of 48: 3.8712010109079
Floor and Ceiling Functions
- Floor of 48: 48
- Ceiling of 48: 48
Interesting Properties and Relationships
- The sum of 48 and its additive inverse (-48) is always 0.
- The product of 48 and its additive inverse is: -2304
- The average of 48 and its additive inverse is always 0.
- The distance between 48 and its additive inverse on a number line is: 96
Applications in Algebra
Consider the equation: x + 48 = 0
The solution to this equation is x = -48, which is the additive inverse of 48.
Graphical Representation
On a coordinate plane:
- The point (48, 0) is reflected across the y-axis to (-48, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 48 and Its Additive Inverse
Consider the alternating series: 48 + (-48) + 48 + (-48) + ...
The sum of this series oscillates between 0 and 48, never converging unless 48 is 0.
In Number Theory
For integer values:
- If 48 is even, its additive inverse is also even.
- If 48 is odd, its additive inverse is also odd.
- The sum of the digits of 48 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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