1.75 Additive Inverse :
The additive inverse of 1.75 is -1.75.
This means that when we add 1.75 and -1.75, the result is zero:
1.75 + (-1.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.75
- Additive inverse: -1.75
To verify: 1.75 + (-1.75) = 0
Extended Mathematical Exploration of 1.75
Let's explore various mathematical operations and concepts related to 1.75 and its additive inverse -1.75.
Basic Operations and Properties
- Square of 1.75: 3.0625
- Cube of 1.75: 5.359375
- Square root of |1.75|: 1.3228756555323
- Reciprocal of 1.75: 0.57142857142857
- Double of 1.75: 3.5
- Half of 1.75: 0.875
- Absolute value of 1.75: 1.75
Trigonometric Functions
- Sine of 1.75: 0.98398594687394
- Cosine of 1.75: -0.17824605564949
- Tangent of 1.75: -5.5203799225093
Exponential and Logarithmic Functions
- e^1.75: 5.7546026760057
- Natural log of 1.75: 0.55961578793542
Floor and Ceiling Functions
- Floor of 1.75: 1
- Ceiling of 1.75: 2
Interesting Properties and Relationships
- The sum of 1.75 and its additive inverse (-1.75) is always 0.
- The product of 1.75 and its additive inverse is: -3.0625
- The average of 1.75 and its additive inverse is always 0.
- The distance between 1.75 and its additive inverse on a number line is: 3.5
Applications in Algebra
Consider the equation: x + 1.75 = 0
The solution to this equation is x = -1.75, which is the additive inverse of 1.75.
Graphical Representation
On a coordinate plane:
- The point (1.75, 0) is reflected across the y-axis to (-1.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.75 and Its Additive Inverse
Consider the alternating series: 1.75 + (-1.75) + 1.75 + (-1.75) + ...
The sum of this series oscillates between 0 and 1.75, never converging unless 1.75 is 0.
In Number Theory
For integer values:
- If 1.75 is even, its additive inverse is also even.
- If 1.75 is odd, its additive inverse is also odd.
- The sum of the digits of 1.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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