1.

Which property of addition is satisfied by :(i) 8 + 7 = 15(ii) 3+ (5 + 4) = (3 + 5)+ 4(iii) 8 x (8 + 0) = 8 x 8 + 8 x 0(iv) (7 + 6) x 10 = 7 x 10 + 6 x 10(v) (15 – 12) x 18 = 15 x 18 – 12 x 18(vi) 16 + 0= 16(vii) 23 + (-23) = 0

Answer»

(i) 8 + 7=15

The property used as closure property satisfied by 15.

(ii) 3+ (5 + 4) = (3 + 5)+ 4 

3 +(5+ 4) = 3 + 9=12 and (3+ 5)+ 4 = 8 + 4=12

The property used as Associative law of addition satisfied by 12.

(iii) 8 x (8 + 0) = 8 x 8 + 8 x 0

8 x (8 + 0) = 8 x 8 = 64 and 8 x 8 + 8 x 0 = 64 + 0 = 64

The property used as Distributive property over addition satisfied by 64.

(iv) (7 + 6) x 10 = 7 x 10 + 6 x 10 (7 + 6) x 10= 13 x 10= 130

and 7 x 10 + 6 x 10 = 70 + 60 = 130

The property used as Distributive over addition satisfied by 130.

(v) (15 – 12) x 18= 15 x 18- 12 x 18 (15 – 12) x 18 = 3 x 18 = 54

and 15 x 18 – 12 x 18 = 270 – 216 = 54

The property used as Distributive over subtraction satisfied by 54.

(vi) 16 + 0=16

The property used as Existence of identity satisfied by 16

(vii) 23 + (-23) = 0

The property used as Additive inverse satisfied by 0.



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