Properties of Division under Integers

Q. Which of the following is true when properties of division is applied?

1. 40 ÷ (4 + 3) = (40 ÷ 4) + (40 ÷ 3)
2. 40 ÷ (4 ÷ 3) = (40 ÷ 4) ÷ 3
3. 40 ÷ 4 = 4 ÷ 40
4. None of the above

Q. Division is commutative.

1. True
2. False

Q. Integers are closed under division.

1. False
2. True

Q. Division of integers satisfy ___

1. commutative property
2. distributive property
3. None of the above
4. associative property

Q.

For any integer a, a ÷ 0 is

1. not defined

2. a

3. 0

4. 1

Q. does not follow the property of closure for integers.

1. Addition
2. Subtraction
3. Multiplication
4. Division

Q.

Which of the following properties hold good for division of integers?

1. Closure property
2. Associative property
3. None of the above
4. Commutative property

Q.

$(-374)÷(-17)=$ ______.

1. $-22$

2. $17$

3. $22$

4. $-17$

Q. Find the value of :
$(14÷7)÷2=$ ____
$14÷(7÷2)=$ ____

1. 1, 1
2. 1, 4
3. -1, -1
4. 2, 3

Q. Which of the following mathematical operations is not closed on integers?

1. Addition
2. Subtraction
3. Multiplication
4. Division