Closure and Commutative Property for Division of Integers

Q. Integers are closed under division.

1. True
2. False

Q. How do you evaluate $14$ divided by $0.2$?

Q.

Fill in the blank

$(-81)÷(-81)=\_\_\_$

Q.

Bill heard that the two entries of the “Hall of Division” had special names – Numerator and Denominator. A special detector is installed at the entry “Denominator” so that it does not allow one specific occupant (referred to as “The Oblivion”) from the “House of Rational Numbers, Q”. When Bill enquired as to why the entry “Denominator” shows such strict regulations towards this particular occupant, he was told that the presence of The Oblivion at the “Denominator” entry could erase the entire Earth 2 from existence and that life on Earth 2 would become undefined.

Choose the correct inference made by Bill:

1. The Oblivion is an occupant of Room I and it is not allowed because it does not belong to “House of Rational Numbers, Q”

2. None of the above

3. The Oblivion is an occupant of Room N and it is not allowed because division by the least member of Room N is undefined

4. The Oblivion is an occupant of Room W and it is not allowed because division by the least member of Room W is undefined

Q.

What can you conclude about two integers whose quotient is positive?

Q.

What can you conclude about two integers whose quotient is negative ?

Q. Integers are closed under division.

1. True
2. False

Q. Integers are closed under division, i.e. for any two integers, a and b, a $÷$ b will be an integer.

1. True
2. False