Solve the following problems involving integers: True/False statements, identify multiplication identity, and perform subtraction.

$$
-10 - 3 = -13
$$
Since $-13$ is a negative integer, the statement is false.  
**Answer: False**

• d) Division of an integer by zero gives 0 as the quotient. Division by zero is undefined. Answer: False

• e) $6 + 2 + 1 = 2$

$$
6 + 2 + 1 = 9
$$
Since $9 \neq 2$, the statement is false.  
**Answer: False**

2. Choose the correct answer.

• a) ____ is the identity of multiplication of integers. The identity for multiplication is 1, because any integer multiplied by 1 remains unchanged. Answer: iii) 1

• b) $-100 - 60 =$

$$
-100 - 60 = -160
$$
**Answer: iv) -160**

• c) $200 - (-50) =$

$$
200 + 50 = 250
$$
**Answer: i) 250**

• d) $24 \div 3 \times (2 + 2) =$

$$
8 \times 4 = 32
$$
**Answer: i) 32**

• e) $10 \times (3 + 4) = 10 \times 3 + 10 \times 4$. This is the ____ property. This equation demonstrates the distributive property of multiplication over addition. Answer: iv) distributive

• f) The division of integers does not have closure property because ____ The closure property means that the result of an operation on two integers is always an integer. For division, this is not always true (e.g., $5 \div 2 = 2.5$, which is not an integer). Answer: iii) quotient can be a fraction

3. Add.

• a) $-15 + 28$

  $$-15 + 28 = 13$$

  The sum is $\boxed{\text{13}}$.

• b) $-10 + (-18)$

  $$-10 + (-18) = -10 - 18 = -28$$

  The sum is $\boxed{\text{-28}}$.

• c) $24 + (-14) + (-65)$

  $$24 - 14 - 65 = 10 - 65 = -55$$

  The sum is $\boxed{\text{-55}}$.

• d) $-100 + 110 + (-90) + 40$

  $$-100 + 110 - 90 + 40 = 10 - 90 + 40 = -80 + 40 = -40$$

  The sum is $\boxed{\text{-40}}$.

4. Subtract.

• a) $75 - 120$

  $$75 - 120 = -45$$

  The difference is $\boxed{\text{-45}}$.