# How do you add these two numbers in scientific notation 51.023 x 10^-4 +29.981 x 10^1?

Apr 1, 2015

Convert to standard, add, round to appropriate accuracy, change to scientific notation.

$51.023 \times {10}^{- 4} = \textcolor{w h i t e}{\text{s}} 0.0051023$
$29.981 \times {10}^{1} = 299.81$ $\textcolor{w h i t e}{\text{ssssssssss}}$add to get:

$\textcolor{w h i t e}{\text{ssssssssssssssssss}} 299.8151023$

Note that the second number is correct only to the hundredths digit (2 right of the decimal), so the sun should also be expressed to the nearest hundredth.

$299.82$

Now write in scientific notation: $2.9982 \times {10}^{2}$.