Answer with explanation:
Let me answer this question by taking two decimals less than 1.
A= 0.50
B= 0.25
→A × B
= 0.50 × 0.25
=0.125
It is less than both A and B.
→→A=0.99
B= 0.1
→C=A × B
= 0.99 × 0.1
=0.099
It is less than both A and B.
So, We can say with surety, that if take two decimals ,both less than 1, the product of these two decimals will be less than each of the original decimals.
General Rule
→A =0. p ,
→ B=0. 0 q,
Product of , A × B, gives a number in which there will be three digits after decimal which will be always less than both A and B as in A, there is one digit after decimal, and in B there are two digits after decimal.