Fsc Part 1 Mathematics (Complete Solution)

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 ) +
3
4
= a+(1+
3
4
)

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

 

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