3.43 Additive Inverse :
The additive inverse of 3.43 is -3.43.
This means that when we add 3.43 and -3.43, the result is zero:
3.43 + (-3.43) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 3.43
- Additive inverse: -3.43
To verify: 3.43 + (-3.43) = 0
Extended Mathematical Exploration of 3.43
Let's explore various mathematical operations and concepts related to 3.43 and its additive inverse -3.43.
Basic Operations and Properties
- Square of 3.43: 11.7649
- Cube of 3.43: 40.353607
- Square root of |3.43|: 1.8520259177452
- Reciprocal of 3.43: 0.29154518950437
- Double of 3.43: 6.86
- Half of 3.43: 1.715
- Absolute value of 3.43: 3.43
Trigonometric Functions
- Sine of 3.43: -0.28442571253646
- Cosine of 3.43: -0.95869808284367
- Tangent of 3.43: 0.29667912935927
Exponential and Logarithmic Functions
- e^3.43: 30.876642749677
- Natural log of 3.43: 1.2325602611778
Floor and Ceiling Functions
- Floor of 3.43: 3
- Ceiling of 3.43: 4
Interesting Properties and Relationships
- The sum of 3.43 and its additive inverse (-3.43) is always 0.
- The product of 3.43 and its additive inverse is: -11.7649
- The average of 3.43 and its additive inverse is always 0.
- The distance between 3.43 and its additive inverse on a number line is: 6.86
Applications in Algebra
Consider the equation: x + 3.43 = 0
The solution to this equation is x = -3.43, which is the additive inverse of 3.43.
Graphical Representation
On a coordinate plane:
- The point (3.43, 0) is reflected across the y-axis to (-3.43, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 3.43 and Its Additive Inverse
Consider the alternating series: 3.43 + (-3.43) + 3.43 + (-3.43) + ...
The sum of this series oscillates between 0 and 3.43, never converging unless 3.43 is 0.
In Number Theory
For integer values:
- If 3.43 is even, its additive inverse is also even.
- If 3.43 is odd, its additive inverse is also odd.
- The sum of the digits of 3.43 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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