Question

How do you express .13 as a percentage?

Answer 1

`13%`

Explanation:

To express any decimal as percentage, multiply the number by `100%`.

Hence, to express `0.13` as percentage, multiply it by `100%`.

`0.13=13/100=(13xxcancel(100))/(cancel(100))%=13%`

Or `0.13=13/100 = 13%`

Answer 2

`0.13 = 13/100 = 13%`

Explanation:

A number written as a decimal can be read as a percentage without any real working.

Decimals can be written as fractions with powers of 10 as the denominators.

A percentage is a fraction with a denominator of 100.

`0.13 = 13/100 = 13%`

Answer 3

`0.13` as a percentage is written as 13%

Explanation:

There are 2 ways to write percentage.

When writing about it people use %. For example 30%.

When doing mathematical calculations you use the fractional form of type `30/100`
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`color(blue)("Consider 0.13")`

I am spacing the digits to lot to allow for the descriptions

`color(green)(color(white)(....)0" ".1" "3 " "larr 0.13)`
`color(red)(color(white)(2/2)uarr" "uarr" "uarr`
`color(red)(" units "1/10color(white)(.)^("ths")" "1/100color(white)(.)^("ths")`

`color(white)(.)`

So we have `0+1/10+3/100`

But this is the same as `13/100`

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In calculations percentage is `("some number")/100`

So we can use the `13/100` as our percentage

`color(red)(13/100-= 13%)`
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`color(blue)("Think about this method - Consider "1/10)`

Multiply by 1 and you do not change the inherent value. However, you can changing the way it looks without changing its inherent value.

Multiply by 1 but in the form of `1=10/10`

So `" "color(brown)(1/10xx1 )color(green)(-> 1/10xx10/10)`

`color(white)(.)`

`=(1xx10)/(10xx10) = 10/100`
,.....................................................................................................
`color(white)(.)`

So `1/10+3/100" "->" "[1/10xx10/10]+3/100`

`color(white)(.)`

`10/100+3/100 = 13/100 -=13%`

The `-=` means 'equivalent to'