# How do you simplify #5(4+7)=20+35# using PEMDAS?

##### 1 Answer

Jul 6, 2016

#### Answer:

55

#### Explanation:

PEMDAS represents the 'initial' letters being used in

#color(blue)"order of operation"# for a mixed operation expression.P - Parenthesis (brackets)

E - Exponents (powers)

M - Multiplication

D - Division

A - Addition

S- SubtractionIn this expression

#color(red)"P"cancel(E)color(red)"M"cancel(D)cancel(A)cancel(S)# we only have the 2 operations

#color(red)"P"" and "color(red)"M"# Evaluating Parenthesis : ( 4 + 7 ) = 11

Evaluating Multiplication :

#5xx11=55#

#rArr5(4+7)=55# Which agrees with the

#color(blue)"distributive property"# you have included in the question

#rArr 5(4+7)=(5xx4)+(5xx7)=20+35=55#