Question

Write (T) for True and (F) for false for each of the following statements:
i) $0 \div \left( { - 6} \right) = 0$
ii) $( - 8) \div 0 = 0$
iii) $15 \div ( - 1) = 15$
iv) $( - 16) \div ( - 4) = - 4$
v) $( - 7) \div ( - 1) = 7$
vi) $( - 18) \div 9 = - 2$
vii) $20 \div ( - 5) = - 4$
viii) $( - 10) \div 1 = - 10$
ix) $( - 1) \div ( - 1) = - 1$

Answer 1

Hint: In this question, we are given the equations which are divided and we have to signify whether their answers are correct or not. In division, if any one dividend or divisor is negative, we will get the answer as negative and if both dividend and divisor are negative then, the answer will be positive.

Complete Step by Step Solution:
From the question, we know that we have to determine whether the answers given in front of the equations are correct or not, accordingly, we will write true or false for that equation. Before doing this let’s recall some facts which are to be used to solve this question –
In the division, if any divisor or dividend is negative then, we will get the answer in negative and if both of them are negative then, we will get the answer in positive. If dividend is 0 then, we will get an answer always as 0 and if divisor is 0 then, we will get the answer as infinite.
i) $0 \div \left( { - 6} \right) = 0$, if this dividend is 0, therefore, the answer will also be 0, so, it is true (T).
ii) $( - 8) \div 0 = 0$ , in this divisor is 0, so its answer will be infinite, hence, it is false (F).
iii) $15 \div ( - 1) = 15$, in this divisor is negative, hence, the answer will be 15, which is true (T).
iv) $( - 16) \div ( - 4) = - 4$, in this both are negative, so, answer should be positive, hence, it is false (F).
v) $( - 7) \div ( - 1) = 7$, this is correct, hence, it is true (T).
vi) $( - 18) \div 9 = - 2$, in this dividend is negative, so, answer should be negative, hence, it is true (T).
vii) $20 \div ( - 5) = - 4$, divisor is negative and answer is also negative, so it is true (T).
viii) $( - 10) \div 1 = - 10$, dividend is negative and answer is also negative, so it is true (T).
ix) $( - 1) \div ( - 1) = - 1$, both of them are negative, so, answer should be positive, hence, it is false (F).

Note:
The facts of division which we discussed in the solution should be remembered by the students as these are most important for solving any question in the division. Students should check whether the quotients given in the question are correct or not as only positive and negative signs are not important, quotients should also be correct.