3.4 Additive Inverse :
The additive inverse of 3.4 is -3.4.
This means that when we add 3.4 and -3.4, the result is zero:
3.4 + (-3.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 3.4
- Additive inverse: -3.4
To verify: 3.4 + (-3.4) = 0
Extended Mathematical Exploration of 3.4
Let's explore various mathematical operations and concepts related to 3.4 and its additive inverse -3.4.
Basic Operations and Properties
- Square of 3.4: 11.56
- Cube of 3.4: 39.304
- Square root of |3.4|: 1.8439088914586
- Reciprocal of 3.4: 0.29411764705882
- Double of 3.4: 6.8
- Half of 3.4: 1.7
- Absolute value of 3.4: 3.4
Trigonometric Functions
- Sine of 3.4: -0.25554110202683
- Cosine of 3.4: -0.96679819257946
- Tangent of 3.4: 0.26431690086743
Exponential and Logarithmic Functions
- e^3.4: 29.964100047397
- Natural log of 3.4: 1.2237754316221
Floor and Ceiling Functions
- Floor of 3.4: 3
- Ceiling of 3.4: 4
Interesting Properties and Relationships
- The sum of 3.4 and its additive inverse (-3.4) is always 0.
- The product of 3.4 and its additive inverse is: -11.56
- The average of 3.4 and its additive inverse is always 0.
- The distance between 3.4 and its additive inverse on a number line is: 6.8
Applications in Algebra
Consider the equation: x + 3.4 = 0
The solution to this equation is x = -3.4, which is the additive inverse of 3.4.
Graphical Representation
On a coordinate plane:
- The point (3.4, 0) is reflected across the y-axis to (-3.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 3.4 and Its Additive Inverse
Consider the alternating series: 3.4 + (-3.4) + 3.4 + (-3.4) + ...
The sum of this series oscillates between 0 and 3.4, never converging unless 3.4 is 0.
In Number Theory
For integer values:
- If 3.4 is even, its additive inverse is also even.
- If 3.4 is odd, its additive inverse is also odd.
- The sum of the digits of 3.4 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: