1.25 Additive Inverse :
The additive inverse of 1.25 is -1.25.
This means that when we add 1.25 and -1.25, the result is zero:
1.25 + (-1.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.25
- Additive inverse: -1.25
To verify: 1.25 + (-1.25) = 0
Extended Mathematical Exploration of 1.25
Let's explore various mathematical operations and concepts related to 1.25 and its additive inverse -1.25.
Basic Operations and Properties
- Square of 1.25: 1.5625
- Cube of 1.25: 1.953125
- Square root of |1.25|: 1.1180339887499
- Reciprocal of 1.25: 0.8
- Double of 1.25: 2.5
- Half of 1.25: 0.625
- Absolute value of 1.25: 1.25
Trigonometric Functions
- Sine of 1.25: 0.94898461935559
- Cosine of 1.25: 0.31532236239527
- Tangent of 1.25: 3.0095696738628
Exponential and Logarithmic Functions
- e^1.25: 3.4903429574618
- Natural log of 1.25: 0.22314355131421
Floor and Ceiling Functions
- Floor of 1.25: 1
- Ceiling of 1.25: 2
Interesting Properties and Relationships
- The sum of 1.25 and its additive inverse (-1.25) is always 0.
- The product of 1.25 and its additive inverse is: -1.5625
- The average of 1.25 and its additive inverse is always 0.
- The distance between 1.25 and its additive inverse on a number line is: 2.5
Applications in Algebra
Consider the equation: x + 1.25 = 0
The solution to this equation is x = -1.25, which is the additive inverse of 1.25.
Graphical Representation
On a coordinate plane:
- The point (1.25, 0) is reflected across the y-axis to (-1.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.25 and Its Additive Inverse
Consider the alternating series: 1.25 + (-1.25) + 1.25 + (-1.25) + ...
The sum of this series oscillates between 0 and 1.25, never converging unless 1.25 is 0.
In Number Theory
For integer values:
- If 1.25 is even, its additive inverse is also even.
- If 1.25 is odd, its additive inverse is also odd.
- The sum of the digits of 1.25 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: