question_answer 17)

If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.

Answer:

                Yes, if the product of two whole numbers is zero, then one or both of them will be zero. Since, we know that the product of any whole number with zero is always zero i.e. \[a\times 0=0,\] where a is any whole number and \[0\times 0=0.\] Some examples are as follows:                 Whole number Product Is the product zero? \[(a\times 0)\] \[(0\times a)\] 5 \[5\times 0=0\] \[0\times 5=0\] Yes 3 \[3\times 0=0\] \[0\times 3=0\] Yes 0 \[0\times 0=0\] \[0\times 0=0\] Yes 4 \[4\times 0=0\] \[0\times 4=0\] Yes 25 \[25\times 0=0\] \[0\times 25=0\] Yes