Question

When determining the quotient of two numbers written in scientific notation,
the base numbers and
the exponents of the powers of ten.
add
subtract
multipy
divide

Answer 1

When determining the quotient of two numbers written in scientific notation, you will **divide** the base numbers and **subtract** the exponents of the powers of ten.

For instance, if you have two numbers in scientific notation:

\[
A = a \times 10^m \quad \text{and} \quad B = b \times 10^n
\]

where \( a \) and \( b \) are the base numbers, and \( m \) and \( n \) are the exponents, then the quotient \( \frac{A}{B} \) is calculated as follows:

\[
\frac{A}{B} = \frac{a}{b} \times 10^{m-n}
\]

So to summarize:
- **Divide** the base numbers: \( \frac{a}{b} \)
- **Subtract** the exponents: \( m - n \)