Mathematics 9 (Complete Solutions)

Q1
Identify the property used in the following

(i)     a + b = b + a      (ii)     (ab)c - a(bc)
(iii)     7 x 1 = 7      (iv)     x > y or x = y or x < y
(v)     ab = ba      (vi)     a + c = b + c ⇒ a = b
(vii)     5 + (-5) = 0      (viii)     7 x
1
7
= 1
(ix)     a > b ⇒ ac > bc ( c > 0 )     


Solution:

(i)       Commutative w.r.t addition.
(ii) Associative w.r.t. multiplication.
(iii) Multiplicative Identity
(iv) Trichotomy
(v) Commulative w.r.t multiplication
(vi) Cancellation property of addition.
(vii) Additive inverse
(viii) Multiplicative Inverse
(xi) Multiplicative Property

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