(6.648 * {10}^(9)) - (2.9 * {10}^(7) )I am confused on what to do with this problem.

Question

`(6.648 * {10}^(9)) - (2.9 * {10}^(7) )`I am confused on what to do with this problem.

Answer 1

Step-by-step explanation:

`(6.648*{10}^9)-(2.9*{10}^7)`

We need to factor out like terms in order to solve the above:

`{10}^9=10^7*10^2`

Inserting the above into the expression:

`\begin{gathered} (6.648*{10}^7*10^2)-(2.9*{10}^7) \\ 10^{7\text{ }}\text{is common to both expressions} \end{gathered}`
`\begin{gathered} (6.648*{10}^7*10^2)-(2.9*{10}^7) \\ 10^7\lbrack(6.648*10^2)-(2.9)\rbrack \end{gathered}`
`\begin{gathered} 6.648*10^2\text{ = }6.648*100\text{ = }664.8 \\ 10^7(664.8-2.9)\text{ = }10^7(661.9) \\ 661.9\text{ = 6.619}*10^2 \\ \end{gathered}`