
The product of two whole numbers is zero. What do you conclude?
Answer
576.3k+ views
Hint: Here, we are using the set of whole numbers. The whole number includes numbers such as 0, 1, 2, 3, 4, 5, 6, 7, and so on till infinity.
Complete step-by-step answer:
Given, the two numbers\[a\] and \[b\] are whole numbers and their product \[ab = 0\]
Now, we know the set of all whole numbers is given by \[\{ 0,1,2,3,......\} \]
Now in order to have the product equal to zero,
we conclude that one of the following conditions is being satisfied which are given below
1) \[a = 0\]and \[b \ne 0\]
2) \[a \ne 0\]and \[b = 0\]
3) \[a\] and \[b\] are both equal to \[0\]
Therefore, the conditions 1), 2) and 3) as stated above are the required conclusions.
Note: If the product of two whole numbers is zero, then one of them is definitely zero. If the product of whole numbers is zero, then both of them may be zero.
Complete step-by-step answer:
Given, the two numbers\[a\] and \[b\] are whole numbers and their product \[ab = 0\]
Now, we know the set of all whole numbers is given by \[\{ 0,1,2,3,......\} \]
Now in order to have the product equal to zero,
we conclude that one of the following conditions is being satisfied which are given below
1) \[a = 0\]and \[b \ne 0\]
2) \[a \ne 0\]and \[b = 0\]
3) \[a\] and \[b\] are both equal to \[0\]
Therefore, the conditions 1), 2) and 3) as stated above are the required conclusions.
Note: If the product of two whole numbers is zero, then one of them is definitely zero. If the product of whole numbers is zero, then both of them may be zero.
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