Question

Evaluate the expression and write your answer in scientific notation (3.45 × 10⁴)(5×10⁵)

Answer 1

`(3.45x10^4)(5x10^5)`

To multiply numbers in scientific notation you multiply the numbers in the coefficient as norma, and then you add the powers of 10, as follow:

`\begin{gathered} =(3.45)(5)x10^(4+5) \\ =17.25x10^9 \end{gathered}`

As you get a number that is not in scientific notation you move the decimal point to the left and add 1 to the power of ten:

`17.25x10^9=1.725x10^(10)`Then, after evaluate the expression you get: 1.75x10^10