74 Additive Inverse :
The additive inverse of 74 is -74.
This means that when we add 74 and -74, the result is zero:
74 + (-74) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 74
- Additive inverse: -74
To verify: 74 + (-74) = 0
Extended Mathematical Exploration of 74
Let's explore various mathematical operations and concepts related to 74 and its additive inverse -74.
Basic Operations and Properties
- Square of 74: 5476
- Cube of 74: 405224
- Square root of |74|: 8.6023252670426
- Reciprocal of 74: 0.013513513513514
- Double of 74: 148
- Half of 74: 37
- Absolute value of 74: 74
Trigonometric Functions
- Sine of 74: -0.98514626046825
- Cosine of 74: 0.17171734183078
- Tangent of 74: -5.737022539279
Exponential and Logarithmic Functions
- e^74: 1.3733829795402E+32
- Natural log of 74: 4.3040650932042
Floor and Ceiling Functions
- Floor of 74: 74
- Ceiling of 74: 74
Interesting Properties and Relationships
- The sum of 74 and its additive inverse (-74) is always 0.
- The product of 74 and its additive inverse is: -5476
- The average of 74 and its additive inverse is always 0.
- The distance between 74 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74 = 0
The solution to this equation is x = -74, which is the additive inverse of 74.
Graphical Representation
On a coordinate plane:
- The point (74, 0) is reflected across the y-axis to (-74, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74 and Its Additive Inverse
Consider the alternating series: 74 + (-74) + 74 + (-74) + ...
The sum of this series oscillates between 0 and 74, never converging unless 74 is 0.
In Number Theory
For integer values:
- If 74 is even, its additive inverse is also even.
- If 74 is odd, its additive inverse is also odd.
- The sum of the digits of 74 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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