Mathematics 9 (Complete Solutions)

# Q4 Perform the indicated operations and simplify the following.

(i)

 1 0 0 1

+

 0 2 3 0

+

 1 1 1 0

(ii)

 1 0 0 1

+

 0 2 3 0

-

 1 1 1 0

(iii)

 2 3 1

+ (

 1 0 2

-

 2 2 2

)
(iv)

 1 2 3 -1 -1 -1 0 1 2

+

 1 1 1 2 2 2 3 3 3

(v)

 1 2 3 2 3 1 3 1 2

+

 1 0 -2 -2 -1 0 0 2 -1

(vi)

 1 2 0 1

+

 2 1 1 0

+

 1 1 1 1

Solution:

(i)

 1 0 0 1

+

 0 2 3 0

+

 1 1 1 0

=

 1+0 0+2 0+3 1+0

+

 1 1 1 0

=

 1 2 3 1

+

 1 1 1 0

=

 1+1 2+1 3+1 1+0

=

 2 3 4 1

(ii)

 1 0 0 1

+

 0 2 3 0

-

 1 1 1 0

=

 1+0 0+2 0+3 1+0

-

 1 1 1 0

=

 1 2 3 1

-

 1 1 1 0

=

 1-1 2-1 3-1 1-0

=

 0 1 2 1

(iii)

 2 3 1

+ (

 1 0 2

-

 2 2 2

)
=

 2 3 1

+

 1-2 0-2 2-2

=

 2 3 1

+

 -1 -2 0

=

 2-1 3-2 1+0

=

 1 1 1

(iv)

 1 2 3 -1 -1 -1 0 1 2

+

 1 1 1 2 2 2 3 3 3

=

 1+1 2+1 3+1 -1+2 -1+2 -1+2 0+3 1+3 2+3

=

 2 3 4 1 1 1 3 4 5

(v)

 1 2 3 2 3 1 3 1 2

+

 1 0 -2 -2 -1 0 0 2 -1

=

 1+1 2+0 3-2 2-2 3-1 1+0 3+0 1+2 2-1

=

 2 2 1 0 2 1 3 3 1

(vi)

 1 2 0 1

+

 2 1 1 0

+

 1 1 1 1

=

 1+2 2+1 0+1 1+0

+

 1 1 1 1

=

 3 3 1 1

+

 1 1 1 1

=

 3+1 3+1 1+1 1+1

=

 4 4 2 2