Question

Match the following:

(i) 625 $\text{×}$ 436 = 625 $\text{×}$ 400 + 625 $\text{×}$ 30 + 625 $\text{×}$ 6 (a) Commutative under addition
(ii) 25 $\text{×}$ 69 $\text{×}$ 8 = 25 $\text{×}$ 8 $\text{×}$ 69 (b) Commutative under multiplication
(iii) 60 + 19758 + 840 = 60 + 940 + 19758 (c) Distributive of multiplication over addition

Answer 1

(i)
625 $\text{×}$ 436 = 625 $\text{×}$ (400 + 30 + 6)
= 625 $\text{×}$ 400 + 625 $\text{×}$ 30 + 625 $\text{×}$ 6
This is the distributive law of multiplication over addition.
(ii)
25 $\text{×}$ 69 $\text{×}$ 8 = 25 $\text{×}$ 8 $\text{×}$ 69
This is the commutative law of multiplication.
(iii)
60 + 19758 + 840 = 60 + 940 + 19758
This is the commutative law of addition.
Hence, the match is (i) $\text{→}$ (c), (ii) $\text{→}$ (b), (iii) $\text{→}$ (a).