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When you divide x by a decimal like .5 you get 2x, but when you multiply it by a decimal like .5 you get 1/2 of x. Why is this?

By: Guest
Date: Thu-Oct-11-2012-
Response
0
These really are based on the definitions of multiplication/division. 

When you divide two numbers, you are simply asking "how many groups of x fit into y". Take for example, 6 divided by 2. Ask yourself "how many groups of 2s fit into 6?" Well, we know the answer is 3 groups of 2. 

Now consider the case you mention: dividing by .5 (aka one-half or 1/2). If you divide 6 by 1/2 (or 6 by 0.5), just ask yourself, how many 1/2s fit into six? 

two 1/2s would fit into one 
four 1/2s would fit into two 
six 1/2s would fit into three 
eight 1/2s would fit into four 
ten 1/2s would fit into five 
twelve 1/2s would fit into six. 

So, 12 groups of 1/2s would fit into six. This makes sense since for each of the 6 pieces, you are cutting them in half. 

The case for multiplication is similar. Ask yourself "what do I get when I form together x groups of y?" If x is 3 and y is 2, then you'll end up with 2 groups of 3, which is 6. 

Likewise, when multiplying by .5 (aka one-half) ask yourself, "what do I get if I form together a half-group of something?" then you'll notice that the number gets smaller. What do you get when you form together half of a group of 6? The answer is only 3. In fact, you get two groups of 3, each of which is half of 6.
[d] By: Guest
Date: Thu-Oct-11-2012
Response
0
This is because when you will solve both of them, you will get two different answers:

x/0.5 = 1.0x/0.5 whic is equal to:

10x/5

= 2x

But when you will solve the multiplication:

0.5(x) it will be 1/2 x as 0.5 equals to 1/2




MADDY
[d] By: skyreacher
Date: Wed-Jan-9-2013
Response
What is 1 + 100



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