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

1 Answer
Jim G.
Jul 6, 2016

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- Subtraction

In 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#

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