Question

The following numbers are written in scientific notation: 8×103
and 1.6×102
. What is the decimal number of the scientific notation solution?(1 point)
×106

Answer 1

To find the decimal number of the scientific notation solution, you need to multiply the two numbers given in scientific notation: \(8 \times 10^3\) and \(1.6 \times 10^2\).

First, multiply the coefficients (the numbers in front):
\[
8 \times 1.6 = 12.8
\]

Next, add the exponents of 10:
\[
10^3 \times 10^2 = 10^{3+2} = 10^5
\]

Now, combine these results:
\[
12.8 \times 10^5
\]

To convert this into standard decimal form, you move the decimal point 5 places to the right:
\[
12.8 \times 10^5 = 1280000
\]

Therefore, the decimal number of the scientific notation solution is:
\[
1280000
\]