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\ 15-Nov-2024 Surender Prajapati Proof-6 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1. The sum of two integers is –14. If one of them is –8, the other one is
(a) –22 (b) –6 (c) 6 (d) 22
2. Which of the following is the multiplicative identity for an integer a?
(a) a (b) 1 (c) 0 (d) –1
3. (– 23) × 8 is not equal to
(a) 23 × (– 8) (b) –(23 × 8) (c) (– 23) × (– 8) (d) 8 × (–23)
4. (–3) + (–14) ÷ (–7) + 8 is equal to
(a) 9 (b) –7 (c) 7 (d) None of these

5. Which of the following statements is false?
(a) –7 + (–6) = –13 (b) 2 + (–1) = 1 (c) 8 + (–9) = –1 (d) –5 + 1 = 4
6. Identity the property reflected in the following: (–5) × (–4) = (–4) × (–5)
(a) Associative property (b) Commutative property
(c) Distributive property (d) Closure property
B. Assertion and Reason Type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose
the correct option as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion
(A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): If a, b, c are integers, then a ÷ (b ÷ c) = (a ÷ b) ÷ c.
Reason (R): Associative property does not hold for the division of integers.
2. Assertion (A): For all integers a, b, and c, we have (a × b) × c = a × (b × c).
Reason (R): Multiplication of integers is commutative.
C. Match the Following.

Column A Column B
(a) (–11) × 1 (i) Additive inverse of 3
(b) 1 (ii) a

(c) (–a) ÷ (–b) (iii) Multiplicative identity
(d) a × (–1) (iv) a ÷ (– b)

(e) a × 0 (v) a ÷ b
(f) (–a) ÷ b (vi) –11
(g) –(–a) (vii) –a

(h) 2 ÷ (–2) (viii) 0
(i) –3 (ix) –1

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