7.4 Additive Inverse :
The additive inverse of 7.4 is -7.4.
This means that when we add 7.4 and -7.4, the result is zero:
7.4 + (-7.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 7.4
- Additive inverse: -7.4
To verify: 7.4 + (-7.4) = 0
Extended Mathematical Exploration of 7.4
Let's explore various mathematical operations and concepts related to 7.4 and its additive inverse -7.4.
Basic Operations and Properties
- Square of 7.4: 54.76
- Cube of 7.4: 405.224
- Square root of |7.4|: 2.7202941017471
- Reciprocal of 7.4: 0.13513513513514
- Double of 7.4: 14.8
- Half of 7.4: 3.7
- Absolute value of 7.4: 7.4
Trigonometric Functions
- Sine of 7.4: 0.89870809581163
- Cosine of 7.4: 0.43854732757439
- Tangent of 7.4: 2.0492841691281
Exponential and Logarithmic Functions
- e^7.4: 1635.9844299959
- Natural log of 7.4: 2.0014800002101
Floor and Ceiling Functions
- Floor of 7.4: 7
- Ceiling of 7.4: 8
Interesting Properties and Relationships
- The sum of 7.4 and its additive inverse (-7.4) is always 0.
- The product of 7.4 and its additive inverse is: -54.76
- The average of 7.4 and its additive inverse is always 0.
- The distance between 7.4 and its additive inverse on a number line is: 14.8
Applications in Algebra
Consider the equation: x + 7.4 = 0
The solution to this equation is x = -7.4, which is the additive inverse of 7.4.
Graphical Representation
On a coordinate plane:
- The point (7.4, 0) is reflected across the y-axis to (-7.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7.4 and Its Additive Inverse
Consider the alternating series: 7.4 + (-7.4) + 7.4 + (-7.4) + ...
The sum of this series oscillates between 0 and 7.4, never converging unless 7.4 is 0.
In Number Theory
For integer values:
- If 7.4 is even, its additive inverse is also even.
- If 7.4 is odd, its additive inverse is also odd.
- The sum of the digits of 7.4 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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