**Pemdas problems**

PEMDAS’ is an acronym for the order of operations. Each letter represent an operation to calculate the value of mathematical expressions. The operations included in the **PEMDAS ** are performed from left to right. PEMDAS Stands for P: Parentheses, E: Exponents , M:Multiplication , D: Division, A: Addition and S: Subtraction. The following acronym will help you remember the PEMDAS Rule.

**Please Excuse My Dear Aunt Sally**

The following questions on ** PEMDAS **has different types of questions that can be practiced by the students to get more ideas to simplify the mathematical expressions.

Contents

**Pemdas problems(Solved Examples)**

**(i) (67-18) ÷ 7 x 3**

Sol. (67-18) ÷ 7 x 3= 49÷ 7 x 3 (Solving expression inside parentheses )

=7 x 3 (Solving division)

=21

**(ii) **

**Sol. ** (removing parentheses)

= 16 x 5

= 80

**(iii) 100 ÷ 5 × 3 − 46 **

Sol. According to **PEMDAS , **perform multiplication or division from left to right depending on which operation comes first. So in the given problem , we will solve division first then multiplication as follows.

100 ÷ 5 × 3 − 46 = 20 x 3 -46 (performing division first)

= 60-46 (Solving multiplication)

=14

**(iv)** **÷ (24 – 4)**

Sol. ÷ (24 – 4) = (10+59 -9) ÷ 20

= (69-9) ÷ 20

=60 ÷ 20

=3

**(v) **

Sol. = 4 x (12 x 6 -16)+9

= 4 x (72 -16)+9

=4 x 56 +9

=224+9 = 233

**(vi) **

Sol. = 11 x 14 +

=11 x 14 +16

=154 +16

=170

**(vii) + (11 + 10 ÷ 2 ) **

Sol. ** + **(11 + 10 ÷ 2 ) = + (11+5)

=100 +16

=116

**(viii)11 x 10 – 12 ÷ 3 **

Sol. 11 x 10 – 12 ÷ 3 = 11 x 10 -4

= 110-4

=106

**(ix) (10 + 43 – 5 ) ÷ **

Sol. (10 + 43 – 5 ) ÷ =(53-5) ÷ 6 +

= 48 ÷ 6 +

= 48 ÷ 6 + 25

= 8 +25

=23

**(x) 10 ÷ 5 + 10 – 9 x 11 **

Sol. 10 ÷ 5 + 10 – 9 x 11 = 2 +10 -9 x 11

=2 +10 -99

=12-99

=-87

**(xi) (20 + 80 ÷ 2 × 8) ÷ [(54 ÷ 9 + 14) ÷ 4] **

Sol. (20 + 80 ÷ 2 × 8) ÷ [(54 ÷ 9 + 14) ÷ 4] = (20 + 40 × 8) ÷ [(6 + 14) ÷ 4]

=(20 + 320) ÷ [20 ÷ 4]

=340 ÷ 5

=68

**(xii) 9 ÷ 3 × {2 × [(16 × 4) ÷ 8]} **

Sol. 9 ÷ 3 × {2 × [(16 × 4) ÷ 8]}= 9 ÷ 3 × {2 × [64 ÷ 8]}

=9 ÷ 3 × {2 × 8}

=9 ÷ 3 × 16

= 3 x 16

=48

**Pemdas problems worksheet PDF**

**Pemdas worksheet(add/ subtract/ Multiply)**

**Pemdas worksheet (with brackets)**

**Pemdas worksheet (with exponents)**

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