Question

Calculate (7.66 x 10^5)-(1.8 x 10^4) Write your answer in scientific notation.

Answer 1

Given:

`\mleft(7.66\ast10^5\mright)-\mleft(1.8\ast10^4\mright)`

Let's evaluate the problem above.

We have:

`\begin{gathered} \mleft(7.66\ast10^5\mright)-\mleft(1.8\ast10^4\mright) \\ \\ =(76.6\ast10^4)-(1.8\ast10^4) \\ \\ =(76.6-1.8)10^4 \\ \\ =(74.8)\ast10^4 \end{gathered}`

To write the answer in scientific notation, move the decimal so there is only one non-zero number to the left of the decimal. Then add the number of times you move the decimal to the exponent of 10.

We have:

`\begin{gathered} 74.8\ast10^4 \\ \\ =7.48\ast10^5 \end{gathered}`