Question

How do you calculate `8 times10^6 ÷ 4 times 10^2`?

Answer 1

`20,000 = 2 xx 10^4`

Explanation:

First you put the numbers out of standard form:

`10^6=1,000,000`

`8xx1,000,000=8,000,000`

`4xx10^2=400`

Now the problem is like this:

`8,000,000÷400`

Cancel out some of the zeros so that the division is easier:

`80,000÷4= 20,000`

`= 2 xx 10^4`

(Answers are generally given in the same form in which they are asked.)

Answer 2

`2xx10^4`
(see below for possible alternative answer)

Explanation:

Assuming everything should be left in scientific notation
and that the expression was intended to be (not PEDMAS form)

`color(white)("XXX")(8xx10^6)div(4xx10^2)`

`color(white)("XXX")=8/4xx (10^6)/(10^2)`

`color(white)("XXX")=2xx10^4`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Technically applying PEDMAS multiplication and division should be done in order from left to right.
So
`color(white)("XXX")8xx10^6div4xx10^2`

`color(white)("XXX")=8,000,000div4xx10^2`

`color(white)("XXX")=2,000,000xx10^2`

`color(white)("XXX")=200,000,000`

`color(white)("XXX")=2xx10^8`

...however, I suspect the parenthesized version is what was intended.