## Converting decimals to percents (ex 1)

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"Per cent" literally means per hundred".
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That's where the word comes from.
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"Cent" from cents or century or any of those words mean one hundred.
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So someone tells you 7 per cent,
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and I'm separating the words so it makes a little more sense.
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He is always saying 7 per 100. This is the same thing as 7 per 100.
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Which is the same thing as a fraction as 7 / 100.
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With that out of the way let see if we can write.
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If we can write 0.601 as a... as a percentage.
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We essentially want to write it as something over 100.
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So you could view it as
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- I just rewrite this part right over here -
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you could write it as 0.601 over 1. This is obviously the same quantity
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You divide anything by 1 you should get that same anything.
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I'm gonna multiply it by... multiply it by 100 over 100.
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Obviously this won't change the value.
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This is just 1 here.
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But what this does it'll give us a fraction
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on term with the denominator being a 100.
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So the denominator if I multiply... if I multiply
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these two characters right over here in the denominator,
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The denominator of our product is going to be 100.
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If I multiply 0.601 times 100 what am I going to get?
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Well every time I'm multiplied by a multiple of 10
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or every time I multiply by 10
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I'm gonna shift the decimal over to the right ones.
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So if I'm multiplied by 10 I get 6.01
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and if I multiply by 10 again or I multiply by 100,
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I'm going to get 60.1
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So 0 point 6 0 1 times a hundred is 60.1
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Let me rewrite that again.
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If were to write... if I were to write,
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0.601 and I wanna multiply it by 100.
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Shift the decimal ones, I multiply by 10
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if I multiply by 10 again,
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or essentially multiply by 100,
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I get 60.1
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So this is times 10, this is times 10 again,
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I was essentially multiplied by 100.
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But now we have it in the form we like,
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we have 60.1 over 100.
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Or you can rewrite this,
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this is the same this as 60.1 per 100... per 100,
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which is the same thing as 60.1 per cent.
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And that we obviously want to write then
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60.1 percent as one word.
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Or 60.1 and we just use the symbol,
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60.1%, we are done.
Title:
Converting decimals to percents (ex 1)
Description:

Converting decimals to percents (ex 1)

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Video Language:
English
Duration:
02:36