Exam (elaborations) Math 301

GEMDAS is the rule that can be used to simplify or evaluate complicated
numerical expressions with more than one binary operation.

Very simply way to remember GEMDAS rule :

G ---> Grouping (Parentheses)

E ----> Exponent

M ----> Multiply

D ----> Divide

A ----> Add

S ----> Subtract

Important Notes :

1. In a particular simplification, if you have both multiplication and division,
do the operations one by one in the order from left to right.

2. Division does not always come before multiplication. We have to do one by
one in the order from left to right.

3. In a particular simplification, if you have both addition and subtraction, do
the operations one by one in the order from left to right.

Examples :

12 ÷ 3 x 5 = 4 x 5 = 20

13 - 5 + 9 = 8 + 9 = 17

, In the above simplification, we have both division and multiplication. From
left to right, we have division first and multiplication next. So we do division
first and multiplication next.


Practice Problems
Problem 1 :

Evaluate :

5+6x7

Solution :


Evaluation Operation

=5+6x7 Multiplication

= 5 + 42 Addition

= 47 Result



Problem 2 :

Evaluate :

(25 + 11) x 2

Solution :


Evaluation Operation