Integer Operations and Properties Assessment Questions

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Enhance your understanding of integers with assessment questions covering operations, properties, and sign rules. Verify solutions and discover key concepts in a structured format.

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Uploaded on Jun 04, 2025 | 0 Views

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Assessment Questions on Integers

INTEGERS 1. Fill in the blanks: (-19) i. (-19) + 5 = 5 + _______________ 12 + __________ = (-7) + 12 (-7) ii. 7 iii. 7 x (-6) = (-6) x ____________ iv. (-115) x __________ = (-10) x (-115) (-10) ____________ x 25 = 25 x (-9) (-9) v. 18 vi. (-12) x 18 = ___________ x (-12)

2. Match the following : 1. (-7) x 9 = 9 x (-7) (a) Property of multiplicative identity 2. 6 + [3 + (-2)] = [6 + 3] + (-2) (b) Commutative property of multiplication 3. (-7) x 1 = -7 (c) Associative property of addition

3. Verify the following: a. 23 x [7 + (-2)] = (23 x 7) + (23 x (-2)] 23 x [7-2] = 23 x 5 = 115 (23x7) + (23 x (-2)] = 161 46 = 115 Hence verified.

3. Verify the following: b. 14 x [(-2) + (-4) ] = [14 x (-2)] + [14 x (-4)] 14 x [(-2) + (-4) = 14 x (-6) = -84 [14 x (-2)] + [14 x (-4)] =(-28) + (-56) = -84 Hence verified.

4. What will be the sign of the product if we multiply together: a. 3 negative integers and 2 positive integers? ( -- )) b. 4 negative integers and 4 positive integers? ( + ))

5.Find the product using suitable properties: a. (-5) x (3) + (-5) x 2 (-5) x [3+2] = (-5) x 5 = -25 b. 8694 x 1 + 99 x 8694 8694 x (1+99) = 8694 x 100 = 8,69,400

6. Verify and name the property use: a. (-210) x (-347) = (-347) x (-210) Commutative property of multiplication b. (-25 x 4) x (-252) = -25 x [4 x (-252)] Associative property of multiplication c. (-194) x 143 + (-194) x 57 = (-194) x [143 + 57] Distributive property of multiplication over addition

7. State whether the following statements are true or false. a. 0 -2 = -20 _____________ False False b. (-1) (-18) = -1 _____________ True c. 18 (-18) = -1 _____________ False d. (-18) (-18) = -1 _____________ True e. (-18) 1 = (-18) _____________