Question

How do you write `(6 times 10^6) ÷ (8 times 10^3)` in standard form?

Answer 1

`7.5xx10^2`

Explanation:

If dividing a greater value into a lesser value is giving you a problem do this:

`6xx10^6" is the same as "60xx10^5`

So we have `(60xx10^5)-:(8xx10^3)`

`60/8xx10^5/10^3`

`60/8xx10^(5-3)`

`60/8xx10^2`
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By calculator we have: `7.5xx10^2`
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I sort of cheat for the division `60/8`

`5xx8=40` but to give us 60 we need 20 more.

Note that `1/2` of `40=20`

`color(white)("dddd")5xx8=40color(white)("dddd") -> color(white)("dddd")5xx8=40`
`1/2xx5xx8=1/2xx40->color(white)("ddd")2 1/2xx8=20`

So `ubrace((2 1/2+5))xx8=40+20=60`

`color(white)("dddddd")7.5 color(white)("d")xx8=60`