Question

Need Help Please!?

Answer 1

Full explanation given rather than just work it out.

`a->600%`
`b-> 0.0092`

Explanation:

`color(blue)("Teaching about percentage")`

Percentage is basically a fraction. What make it special is that the bottom number (denominator) is always 100.

There are two ways that percentage can be written and the both mean EXACTLY the same thing.

suppose we have twenty percent

Type 1: `->20%`

Type 2: `->20/100`

If they both mean exactly the same thing then consider the following:

`20/100` can be written as `20xx1/100`

Now lets compare that to `20%`

If we directly compare the parts of 20% to the fraction we have

`20xx1/100`
`20 xx %`

So % symbol must be the same as `{xx1/100`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering question part "a)`

The value of 6 is counting in 1's.

To make the percentage fraction into 1 we have `100/100=1`

but we have 6 lots of 1.

`color(green)(6color(red)(xx1)color(white)("ddd")=color(white)("ddd")6color(red)(xx100/100)color(white)("ddd")=color(white)("ddd")600/100)`

Which is the same as `600color(white)("d")ubrace(xx1/100)`

`color(white)("dddddddddddddddd")600color(white)("ddd") %color(white)("d")->600%`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering question part "b)`

`0.92%`

`0.92 color(white)("ddd")%`

`0.92 color(white)("d")obrace(xx1/100)color(white)("d")=0.92/100 = 0.0092`