When a whole number greater than 1 is multiplied by a decimal number less than 1, how does the product compare

when a whole number greater than 1 is multiplied by a decimal number less than 1,how does the product compare to each factor? give an example.

the product is less than the original #
ex
10 x .1 = 1
10 x .2 = 2
ex #2
5 x .3 = 1.5
so basically the product is turned into what the normal product would be without the decimal, and then add the decimal back in.
hope that makes sense...

The product is less than the whole number, and is not equal to the decimal number.

Proof:
Let a be a decimal number less than 1, and b a whole number greater than 1.

We claim: the product ab is less then b.
We are given a < 1. Multiplying both sides by b gives us ab < b.

We claim: the product ab is not equal to the decimal number.
This is clear since a is not equal to 1. Q.E.D.

Examples:

Suppose a = 0.5 and b = 2. Then ab = 1, making ab < b and ab > a.
Suppose a = -0.5 and b = 2. Then ab = -1, making ab < b and ab < a.

the answer is in between those 2 values.