Question

verify associative property of multiplication and addition for a=5 by 2, b=12 by 5, c=7 by 12

Answer 1

Answer:

Step-by-step explanation:

associative property :

(i) for addition :

a+(b+c)

=5/2+(12/5+7/12)

=5/2+(144/60+35/60)

=5/2+(179/60)

=150/60+179/60

=329/60

=5 and 39/60

b+(a+c)

= 12/5+(5/2+7/12)

=144/60+(150/60+35/60)

=144/60+185/60

=329/60

= 5 and 39/60

so ,associative property works for addition.

(ii)for multiplication:

a*(b*c)

=5/2*(12/5*7/12)

=150/60*(144/60*35/60)

=150/60*7/5

=150/60*84/60

=7/2

=3 and 1/2

lets try another way,

b*(a*c)

=12/5*(5/2*7/12)

=12/5*(30/12*7/12)

=12/5*35/24

=288/120*175/120

=3 and 1/2

so, associative property is true for multiplication.

hope this helped .