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# Why is multiplying 37.4 times 0.1gives a product that less than 37.4?

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###### Asked in Math and Arithmetic

### Why when you multiply decimals the product of the numbers gets smaller?

Yes, when any number is multiplied by a decimal, as long as the
decimal is less than 1, the product is smaller that that number
(assuming we are just dealing with positive numbers)
An example is 5 times .4, which equals 2. 2 is less than 5.
Another example, this time where both numbers are decimals, is
.3 times .1 which equals .03. .03 is smaller that both .3 and
.1.
The reason it gets smaller is because by multiplying by a
decimal, you are trying to get a fraction of the number, which will
always be less than that number. For example, 3 times .5 = 1.5.
Here, the result is a fraction (1/2) of three.

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