Question

What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?

Answer 1

Answer: $2.535*10^{10}$

Step-by-step explanation:

1. By definition, scientific notation has the following form:

$a*10^{b}$

Where:

a is a number between 1 and 10 but does not include 10.

b an integer.

2. When you multiply 3.25 by 7.8  the result is 25.35 and when you multiply $10^{3}$ by $10^{6}$, you obtain $10^{9}$, but to write ree thsult in scientific notation, the decimal point must be after the first digit. Therefore, you must move the decimal point one place to the left. So, the exponent changes from 9 to 10:

$(3.25*10^{3})(7.8*10^{6})=2.535*10^{10}$