Properties of Multiplication of Integers

Q.

Which number is the multiplicative identity for integers?
_____

Q. Associative property can be expressed as:
$a\times (b\times c)=(a\times b)\times c$

1. True
2. False

Q. Which of these operations are commutative for integers?

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

Q.

$\begin{array}{cc}\text{Properties of multiplication of integers}& \text{Representation}\\ 1).\text{Distributive Property}& a).a\times b=b\times a\\ 2).\text{Commutative Property}& b).a\times (b\times c)=(a\times b)\times c\\ 3).\text{Associative Property}& c).a\times (b+c)=(a\times b)+(a\times c)\end{array}$

Pick the option which shows the correct match.

1. $1-a;2-b;3-c$

2. $1-b;2-a;3-c$

3. $1-c;2-b;3-a$

4. $1-c;2-a;3-b$

Q.

Which of the following statements is true?

1. Only positive integers follow the closure property for multiplication

2. Integers follow the closure property for multiplication

3. Only negative integers follow the closure property for multiplication

4. Integers are not closed under multiplication

Q. Multiplication is NOT commutative.

1. False
2. True

Q. Integers are closed under addition, subtraction and multiplication.

1. False
2. True

Q. $4\times (5+6)=4\times 5-4\times 6$

1. False
2. True

Q. Product of two integers with different signs is always a negative integer.

1. True
2. False

Q. $-6\times 6=36$

1. True
2. False