Question

7
Multiply and write your answer in scientific notation. Click Here for Help Video.



Be sure to write your answer with the multiplication
×
×




(
9
×
1
0
6
)
(9×10
6
) ÷
(
12
×
1
0
8
)
(12×10
8
)

Answer 1

To solve the expression \((9 \times 10^6) \div (12 \times 10^8)\), we can start by dividing the numerical coefficients and then handle the powers of ten.

1. **Divide the numerical coefficients:**
\[
\frac{9}{12} = 0.75
\]

2. **Subtract the exponents of 10 (since we are dividing):**
\[
10^{(6 - 8)} = 10^{-2}
\]

Now, putting it all together:
\[
0.75 \times 10^{-2}
\]

3. **Convert \(0.75\) to scientific notation:**
\(0.75\) can be expressed as \(7.5 \times 10^{-1}\). Therefore:
\[
0.75 \times 10^{-2} = (7.5 \times 10^{-1}) \times 10^{-2} = 7.5 \times 10^{-3}
\]

So the final answer in scientific notation is:
\[
7.5 \times 10^{-3}
\]

You could also express it as:
\[
7.5 \times 10^{-3}
\]