1.4 Additive Inverse :
The additive inverse of 1.4 is -1.4.
This means that when we add 1.4 and -1.4, the result is zero:
1.4 + (-1.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 1.4
- Additive inverse: -1.4
To verify: 1.4 + (-1.4) = 0
Extended Mathematical Exploration of 1.4
Let's explore various mathematical operations and concepts related to 1.4 and its additive inverse -1.4.
Basic Operations and Properties
- Square of 1.4: 1.96
- Cube of 1.4: 2.744
- Square root of |1.4|: 1.1832159566199
- Reciprocal of 1.4: 0.71428571428571
- Double of 1.4: 2.8
- Half of 1.4: 0.7
- Absolute value of 1.4: 1.4
Trigonometric Functions
- Sine of 1.4: 0.98544972998846
- Cosine of 1.4: 0.16996714290024
- Tangent of 1.4: 5.7978837154829
Exponential and Logarithmic Functions
- e^1.4: 4.0551999668447
- Natural log of 1.4: 0.33647223662121
Floor and Ceiling Functions
- Floor of 1.4: 1
- Ceiling of 1.4: 2
Interesting Properties and Relationships
- The sum of 1.4 and its additive inverse (-1.4) is always 0.
- The product of 1.4 and its additive inverse is: -1.96
- The average of 1.4 and its additive inverse is always 0.
- The distance between 1.4 and its additive inverse on a number line is: 2.8
Applications in Algebra
Consider the equation: x + 1.4 = 0
The solution to this equation is x = -1.4, which is the additive inverse of 1.4.
Graphical Representation
On a coordinate plane:
- The point (1.4, 0) is reflected across the y-axis to (-1.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 1.4 and Its Additive Inverse
Consider the alternating series: 1.4 + (-1.4) + 1.4 + (-1.4) + ...
The sum of this series oscillates between 0 and 1.4, never converging unless 1.4 is 0.
In Number Theory
For integer values:
- If 1.4 is even, its additive inverse is also even.
- If 1.4 is odd, its additive inverse is also odd.
- The sum of the digits of 1.4 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: