Question

How do you write `1240.64 / 6.4` in scientific notation?

Answer 1

See a solution process below:

Explanation:

First, we can divide 1240.64 by 6.4:

`1240.64/6.4 = 193.85`

Next, to write this term in scientific notation we need to move the decimal point 2 places to the left so the exponent of the 10s term will be positive:

`193.85 = 1.9385 xx 10^2`

Answer 2

`1.9385 xx 10^2`

Explanation:

Let's write the entire calculation in scientific notation:
There should be only ONE digit before the decimal point.
Move the decimal point, counting the number of place holders moved.

`1000 = 10^3`

`(1color(red)(240.)64)/6.4 = (1color(red)(.240)64 xx 10^color(red)(3))/6.4`

Now do the division: `" "1.24064 div6.4`

`= color(blue)(0.1)9385 xx 10^color(blue)(3)" "larr` not scientific notation

`= color(blue)(1.9)385 xx 10^color(blue)(2)`