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

1 answer

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: \[ 1280000 \]