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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 6 - Mathematics
1.30 Division by Zero

1. Division by zero is not defined.
  1. Consider 8/0 = ?
    Is it possible to assign any whole number to this quotient?
    Suppose 8/0 = a, where 'a' is a whole number. Since division is the inverse operation of multiplication, we will have 0 x a = 8.
    Since 'a' is a whole number and we know that the product of a whole number and zero is always zero. Hence, 0 x a cannot be 8. Thus there is no whole number which when multiplied by zero will ever give us a non-zero whole number.
    Therefore 8/0 cannot be equal to any whole number.
  2. Consider the case, 0/0.
    Suppose, 0/0 = a.
    Then we get 0 x a = 0. But whatever the whole number "a" may be, 0 x a is always zero. For example,
    6 x 0 = 0, 8 x 0 = 0, 25 x 0 = 0, ...............
    Hence the supposed "a" can assume any whole number. In other words, 0/0 can represent any whole number. It cannot be any one number. It has innumerable answers.
2. When zero is divided by any non-zero whole number, the quotient is always zero.
Consider 0/7.
Suppose 0/7 = a
Then, 7 x a = 0.
Since the product of two whole numbers is zero, at least one of them has to be zero.
But 7 is not equal to zero; which means a = 0.
Therefore 0/7 = 0.
Directions: Choose the correct answer. Also write at least 10 examples of your own.
Q 1: x/0
Not defined
Zero

Q 2: 86/0
Not defined
Zero

Q 3: 0/x
Zero
Not defined

Q 4: 0/761
Not defined
Zero

Q 5: 6/0
Not defined
Zero

Q 6: 0/6
Zero
Not defined

Q 7: 0/27
Not defined
Zero

Q 8: 27/0
Not defined
Zero

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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