1.5×10^(-5) in Scientific Notation
In scientific notation, the number 1.5×10^(-5) represents a very small value. But what does it really mean?
Understanding Scientific Notation
Scientific notation is a way of expressing very large or very small numbers in a more compact and readable form. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10. The power of 10 can be either positive or negative.
Breaking Down 1.5×10^(-5)
In the case of 1.5×10^(-5), we can break it down as follows:
- The coefficient is 1.5, which is a number between 1 and 10.
- The power of 10 is -5, which means we need to divide by 10 five times.
Converting to Decimal Notation
To convert 1.5×10^(-5) to decimal notation, we can perform the following calculation:
1.5 × (1/10)^5 = 1.5 × 0.00001 = 0.000015
So, 1.5×10^(-5) is equivalent to 0.000015 in decimal notation.
Real-World Applications
Numbers in scientific notation, including 1.5×10^(-5), are commonly used in various scientific and engineering applications, such as:
- Physics: to express very small distances, energies, or probabilities.
- Chemistry: to describe the concentrations of chemical substances or the rates of chemical reactions.
- Engineering: to design and optimize systems, such as electronic circuits or mechanical systems.
In conclusion, 1.5×10^(-5) is a small number that can be expressed in scientific notation, making it easier to read and work with in various scientific and engineering applications.
