Fill in the blanks to make the statements true.

[12 × (– 7)] × 5 = _________ × [(-7) × _________ ]

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for questions not attempted.

(i) Mohan gets four correct and six incorrect answers. What is his score?

(ii) Reshma gets five correct answers and five incorrect answers, what is her score?

(iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

For any integer a, what is (-1) × a equal to?

Starting from (-1) × 5, write various products showing some pattern to show (-1) ×(-1)-1.

State whether the statements are True or False.

a × b = b × a

State whether the statements are True or False.

(a + b) × c = a × c + a × b

State whether the statements are True or False.

If a, b, c are integers and b ≠ 0 then, a × (b – c) = a × b – a × c

State whether the statements are True or False.

– 3 × 3 = – 12 – (– 3)

State whether the statements are True or False.

(– 20) × (5 – 3) = (– 20) × (– 2)

State whether the statements are True or False.

99 × 101 can be written as (100 – 1) × (100 + 1)

State whether the statements are True or False.

(–1) is not a multiplicative identity of integers.