by 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.
= 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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- Order of Operations with Exponents with practice worksheets PDF Download
