Question

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

Answer 1

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

`51.023xx10^(-4) =color(white)("s") 0.0051023`
`29.981xx10^1 = 299.81` `color(white)("ssssssssss")`add to get:

`color(white)("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: `2.9982xx10^2`.