Exercise 2A
Question 1
(a) 5 + 9 = 14
9 + 5 = 14
Commutative Property.
Question 2
495 – 0 = 495
Property of zero.
(c) 7+(4+9) = 7 + 13 = 20
(7 + 4) + 9 = 11 + 9 = 20
Associative property.
Question 3
(a) Commutative property.
(b) Additive Property.
(c) Associative Property.
(d) Commutative Property.
Question 6
(a) 8 + 23 + 2 = 23 + 8 + 2 [Commutative property]
= 23 + (8 + 2) [Associative Property]
= 23 + 10
= 33
(b) 17 + 29 + 3 = 29 + 17 + 3 [Commutative Property]
= 29 + (17 + 3) [Associative Property]
= 29 + 20
= 49
(c) 16 + 47 + 14 = 16 + 14 + 47 [Commutative Property]
16 + (14 + 47) [Associative Property]
= 16 + 61
= 77
(d) 33 + 48 + 7 = 7 + 33 + 48 [Commutative Property]
= 7 + (33 + 48)
= 7 + 81
= 88
(e) 20 + (63 + 80)
= 20 + 143
= 163
(f) 8 + 13 + 7 + 12 = 8 + 7 13 + 12 [Commutative]
= (8 + 7) + (13 + 12) [Associative]
= 15 + 25
Question 7
(a) 869 + 73 + 237 + 31
= 869 + 31 + 73 + 237 [Commutative]
= (869 + 31) + (73 + 237) [Associative]
= 900 + 310
= 1210
(b) 916 + 425 + 584 + 315
= 916 + 584 + 425 + 315 [Commutative]
= (916 + 584) + (425 + 315) [Associative]
= 1500 + 740
= 2240
(c) 1756 + 683 + 1244 + 517
= (1756 + 1244) + (683 + 517) [Commutative]
= 3000 + 1200 [Associative]
= 4200
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