Question

find the sum of $4.06 \times 10^{19}$ and $5.034 \times 10^{17}$.
$4.11034 \times 10^{19}$
$9.094 \times 10^{19}$
$4.11034 \times 10^{36}$
$9.094 \times 10^{36}$

Explanation:

Step1: Make exponents equal

To add numbers in scientific notation, we need the same exponent. Rewrite \(5.034\times10^{17}\) as \(0.05034\times10^{19}\) (since \(10^{17}=10^{19 - 2}=\frac{10^{19}}{10^{2}}\), so \(5.034\times10^{17}=5.034\div100\times10^{19}=0.05034\times10^{19}\)).

Step2: Add the coefficients

Now add the coefficients of \(4.06\times10^{19}\) and \(0.05034\times10^{19}\). The coefficients are \(4.06\) and \(0.05034\). So \(4.06 + 0.05034=4.11034\).

Step3: Combine with the exponent

Combine the sum of the coefficients with the common exponent \(10^{19}\). So the result is \(4.11034\times10^{19}\).

Answer:

A. \(4.11034\times10^{19}\)