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

Sagot :

[tex](3.45x10^4)(5x10^5)[/tex]

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:

[tex]\begin{gathered} =(3.45)(5)x10^{4+5} \\ =17.25x10^9 \end{gathered}[/tex]

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:

[tex]17.25x10^9=1.725x10^{10}[/tex]Then, after evaluate the expression you get: 1.75x10^10