Q2
Name the properties used in the following equations. (Leters, where used, represent real numbers).
(i) 4 + 9 = 9 +4
SOLUTION
Commulative Property w.rt additon
| (ii) | ( a + 1 ) | + |
|
= a+(1+ |
|
) |
SOLUTION :
Associative Property w.r.t addition.
(iii) ( √ 3 + √ 5 )+ √ 7 = √ 3 + (√ 5 + √ 7 )
SOLUTION:
Associative Property w.r.t addition
(iv) 100 + 0 = 100
SOLUTION:
Property of additive identity
(v) 1000 x 1 = 1000
SOLUTION
Property of multiplicative identity
(vi) 4.1 + (-4.1) = 0
SOLUTION:
Additive inverse
(vii) a - a = 0
SOLUTION:
Additive inverse
(viii) √ 2 x √ 5 = √ 5 x √ 2
SOLUTION:
Commutative Property w.r.t ' x '
(ix) a( b - c ) = ab - ac
SOLUTION:
Left distributive property
(x) ( x - y ) z = xy - yz
SOLUTION:
Right distributive property
(xi) 4 x ( 5 x 8 ) = ( 4 x 5 ) x 8
SOLUTION:
Associative Property w.r.t ' x '
(xii) a ( b + c - d ) = ab + ac - ad
SOLUTION:
Left distributive property