7.2 Additive Inverse :
The additive inverse of 7.2 is -7.2.
This means that when we add 7.2 and -7.2, the result is zero:
7.2 + (-7.2) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 7.2
- Additive inverse: -7.2
To verify: 7.2 + (-7.2) = 0
Extended Mathematical Exploration of 7.2
Let's explore various mathematical operations and concepts related to 7.2 and its additive inverse -7.2.
Basic Operations and Properties
- Square of 7.2: 51.84
- Cube of 7.2: 373.248
- Square root of |7.2|: 2.6832815729997
- Reciprocal of 7.2: 0.13888888888889
- Double of 7.2: 14.4
- Half of 7.2: 3.6
- Absolute value of 7.2: 7.2
Trigonometric Functions
- Sine of 7.2: 0.79366786384915
- Cosine of 7.2: 0.60835131453225
- Tangent of 7.2: 1.3046209400556
Exponential and Logarithmic Functions
- e^7.2: 1339.4307643944
- Natural log of 7.2: 1.974081026022
Floor and Ceiling Functions
- Floor of 7.2: 7
- Ceiling of 7.2: 8
Interesting Properties and Relationships
- The sum of 7.2 and its additive inverse (-7.2) is always 0.
- The product of 7.2 and its additive inverse is: -51.84
- The average of 7.2 and its additive inverse is always 0.
- The distance between 7.2 and its additive inverse on a number line is: 14.4
Applications in Algebra
Consider the equation: x + 7.2 = 0
The solution to this equation is x = -7.2, which is the additive inverse of 7.2.
Graphical Representation
On a coordinate plane:
- The point (7.2, 0) is reflected across the y-axis to (-7.2, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7.2 and Its Additive Inverse
Consider the alternating series: 7.2 + (-7.2) + 7.2 + (-7.2) + ...
The sum of this series oscillates between 0 and 7.2, never converging unless 7.2 is 0.
In Number Theory
For integer values:
- If 7.2 is even, its additive inverse is also even.
- If 7.2 is odd, its additive inverse is also odd.
- The sum of the digits of 7.2 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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