1.7 Additive Inverse :
The additive inverse of 1.7 is -1.7.
This means that when we add 1.7 and -1.7, the result is zero:
1.7 + (-1.7) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.7
- Additive inverse: -1.7
To verify: 1.7 + (-1.7) = 0
Extended Mathematical Exploration of 1.7
Let's explore various mathematical operations and concepts related to 1.7 and its additive inverse -1.7.
Basic Operations and Properties
- Square of 1.7: 2.89
- Cube of 1.7: 4.913
- Square root of |1.7|: 1.3038404810405
- Reciprocal of 1.7: 0.58823529411765
- Double of 1.7: 3.4
- Half of 1.7: 0.85
- Absolute value of 1.7: 1.7
Trigonometric Functions
- Sine of 1.7: 0.99166481045247
- Cosine of 1.7: -0.12884449429552
- Tangent of 1.7: -7.6966021394592
Exponential and Logarithmic Functions
- e^1.7: 5.4739473917272
- Natural log of 1.7: 0.53062825106217
Floor and Ceiling Functions
- Floor of 1.7: 1
- Ceiling of 1.7: 2
Interesting Properties and Relationships
- The sum of 1.7 and its additive inverse (-1.7) is always 0.
- The product of 1.7 and its additive inverse is: -2.89
- The average of 1.7 and its additive inverse is always 0.
- The distance between 1.7 and its additive inverse on a number line is: 3.4
Applications in Algebra
Consider the equation: x + 1.7 = 0
The solution to this equation is x = -1.7, which is the additive inverse of 1.7.
Graphical Representation
On a coordinate plane:
- The point (1.7, 0) is reflected across the y-axis to (-1.7, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.7 and Its Additive Inverse
Consider the alternating series: 1.7 + (-1.7) + 1.7 + (-1.7) + ...
The sum of this series oscillates between 0 and 1.7, never converging unless 1.7 is 0.
In Number Theory
For integer values:
- If 1.7 is even, its additive inverse is also even.
- If 1.7 is odd, its additive inverse is also odd.
- The sum of the digits of 1.7 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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