I did not understand this cocept when we multiply a whole number with a decimal number the ans has to be how much significant figure rule jn chemestry i really did not understand from the below picture how come so then plz multiply 10?1.414m what is the ans then ???

Dear student,
the multiplication rules state that the product should have as many as significant digit as there there are in one of the multiplicants with least significant digits. 

as written in your question let us multiply 10 and 1.414
10 x 1.414 = 14.14.  now the multiplicant with the least number of significant digits is 10 (i.e 2 digits) hence we round off the product to 2 significant digits which is 14.
hence the answer is 14.

hope it helps,
Regards. 

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