Question

scientific notation of (9x10^6)divided by(12x10^7)

Answer 1

To divide the two numbers in scientific notation, you follow these steps:

1. Divide the coefficients (the numbers in front).
2. Subtract the exponents of 10.

Given the expression \((9 \times 10^6) \div (12 \times 10^7)\):

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

2. Subtract the exponents:
\[
10^{6 - 7} = 10^{-1}
\]

Now combine the results:
\[
0.75 \times 10^{-1}
\]

The conventional way to express this in scientific notation requires the coefficient to be between 1 and 10. So, we convert \(0.75\) into scientific notation:
\[
0.75 = 7.5 \times 10^{-1}
\]

Now, when we multiply this with \(10^{-1}\), we get:
\[
7.5 \times 10^{-1} \times 10^{-1} = 7.5 \times 10^{-2}
\]

So the final result of \((9 \times 10^6) \div (12 \times 10^7)\) in scientific notation is:
\[
\boxed{7.5 \times 10^{-2}}
\]