30 / 0.2
Well, 30 / 0.2 is the same as 30 / (1/5). When you divide by a real number, you are multiplying by its reciprocal, so for this example you would proceed:
30 / 0.2 = 30 / (1/5) = 30 * 5 = 150.
Another way to do this is to just shift the decimal point one spot right in both the divisor (0.2 becomes 2) and the dividend (30 becomes 300). There, all you have to deal with are whole numbers.
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Como say: Example
50 divided by 0•2
50
-----
0•2
50 x 10
---------- = 250
2
thus 50 / 0•2 = 50 x 5
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DIGIMAN say: .2 = 2/10=1/5
lets divide 1/1 by 1/5----remember, flip the divisor and multiply
(1/1) x (5/1) = 5/1 = 5
WALLLA !!!!!!
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hayharbr say: Say you had 10 ÷ 0.2. That means take ten whole things and divide them into piles that contain only 0.2 of a thing. So you can see that it would take 5 such piles just to equal one full thing, so you'd get 5 • 10 = 50 piles of 0.2 things each. So, 10 ÷ 0.2 = 50
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Prather say: Well, division is like dividing among people. If you've got six pieces and you divide them among three people, each person gets two pieces. If you divide the six pieces by one person, that person gets all six.
Now, you can't have half a person. But half the people means double the pieces for each, right? When you divide it by something less than 1, you get more than the original number because it's not really being divided.
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Jingwei say: when you decide by decimals, you are actually dividing by powers of ten, more specifically, 10^(-1) which equals 1/10... the reciprocal of 10^(-1) is 10, since 1/10 * 10 = 10/10 = 1
for instance if you have 96/...3 this could be written as 96 / (3/10) = 96 * 10/3 = 960/3 = 320
if the decimal is the divisor and is less than one in a division problem, the quotient shall be larger than the dividend...
dividing a number by a decimal does not always produce a quotient larger than the dividend...