7

Question

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
9
)
(12×10
9
)

Answer 1

To solve the expression \((9 \times 10^6) \div (12 \times 10^9)\), we will follow these steps:

1. Divide the coefficients (the numbers in front).
2. Divide the powers of ten.
3. Write the answer in scientific notation.

Let's go through the calculations:

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

2. Divide the powers of ten: \[ \frac{10^6}{10^9} = 10^{6-9} = 10^{-3} \]

3. Combine the results: \[ 0.75 \times 10^{-3} \]

However, we need to express this in proper scientific notation, which means the coefficient should be between 1 and 10. To convert \(0.75\) to proper scientific notation, we can rewrite \(0.75\) as: \[ 7.5 \times 10^{-1} \] So now we combine these: \[ 7.5 \times 10^{-1} \times 10^{-3} = 7.5 \times 10^{-4} \]

Thus, the final answer is: \[ \boxed{7.5 \times 10^{-4}} \]