To write a number in scientific notation, it typically takes the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
For a specific number \( N \) expressed in scientific notation:
- The lower bound can be expressed as \( a \times 10^n \) where \( N \) is at least this value.
- The upper bound can be expressed as \( b \times 10^{n+1} \) where \( N \) is less than this value.
Thus, in general form you could write:
\( a \times 10^n < N < b \times 10^{n+1} \)
For example, if \( N = 5.3 \times 10^3 \):
- Lower bound: \( 5.3 \times 10^3 = 5300 \)
- Upper bound: \( 6 \times 10^3 = 6000 \)
So, you could write:
\( 5300 < N < 6000 \)
This notation indicates that \( N \) is between 5300 and 6000.
Alternatively, if you have a specific number \( N \) in mind, please provide that, and I can help you determine the bounds for it.