How do you evaluate #(3\times 5)+(3\times 4.5)+(11\times 3.5)#?

1 Answer
Mar 3, 2018

The expression works out to #68#

Explanation:

Evaluate #(3×5)+(3×4.5)+(11×3.5)#

This is an Order of Operations problem

First do the multiplications

#(3×5)+(3×4.5)+(11×3.5)#
#color(white)(m)##(15)   +    (14.5)   +     (38.5)#

Now you can combine the addends

#color(white)(.m)# #15#
#color(white)(.m)# #14.5#
#color(white)(.)#+   #38.5#
――――
#color(white)(.n.)# #68#

Answer
#color(white)(..,)##68#

#color(white)(mmmmm.)#――――

Check

Check by estimating

This is almost the same as
#15 + 15 + 40 = 70#

This estimate is close to the actual answer, so #68# is probably correct.

#Check#