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Question

Mark true or false.
(a) (100 + 10) + 5 = 100 + (10 + 5) ____
(b) 100 − (10 − 5) = (100 − 10) − 5 ____
(c) (72 − 36) − 20 = 72 − (36 − 20) ____
(d) (68 × 4) × 20 = 68 × (4 × 20) ____
(e) 7(6 − 3) = 7 × 6 − 7 × 3 ____
(f) 20 × 30 = 30 × 20 ____
(g) 87 − 41 = 41 − 87 ____
(h) 16 × 4 = 4 × 16 ____
(i) 480 + 0 = 0 + 480 ____
(j) (16 + 7) + 3 = 16 + (7 + 3) ____

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Solution

(a) True, Associative property of addition.

(b) False, Associative property does not hold true for subtraction in whole numbers.

(c) False, Associative property does not hold true for subtraction in whole numbers.

(d) True, Associative property of multiplication.

(e) True, Distributive property of multiplication over addition.

(f) True, Commutative property of multiplication.

(g) False, Commutative property does not hold true in subtraction.

(h) True, Commutative property of multiplication.

(i) True, Additive identity.

(j) True, Associative property of addition.

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