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Home Education

PEMDAS – “Please Excuse My Dear Aunt Sally”

by William George
December 10, 2021
in Education
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PEMDAS

PEMDAS

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You might have heard Bodmas rule. Bodmas is a short form for Brackets, Order of powers or roots, Division, Multiplication, Addition, and Subtraction. The same rule is known as Pedmas in some regions. Pemdas is a short form of Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. PEMDAS rule is remembered by the phrase “Please Excuse My Dear Aunt Sally”.

Pemdas Rule

Pemdas is a sequence to perform operations in an arithmetic expression. Why do we need this? While washing clothes, we have to soak them first then we have to wash them and later we have to rinse them before drying. We cannot perform the task in a different or reverse manner. In the same way, the Pemdas rule is made to solve an arithmetic equation in a step-by-step manner. It helps us solve complex calculations more easily. As per the rule, we solve the expressions within the parentheses first, then the exponential terms next are solving division or multiplication, and lastly addition or subtraction.

Difficulties Faced in PEMDAS Rule

In an expression, if we get different types of brackets. Often we get confused about which parentheses to solve first. To avoid this uncertainty, you must learn about the usage of brackets in an expression. The innermost bracket used in an expression is always the common bracket, expressions within this you have to solve first. Next is the flower bracket – you have to solve this after solving the common bracket. Lastly square bracket – after solving common and flower brackets, we solve the square brackets. To learn the remembering tips or tricks of these brackets attend math classes from cue math.

Solved Examples of PEMDAS rule

1. 210 ÷ 15 + 13 × 4 – 128 ÷ 16 + 15

Solution: According to Pemdas rule, we have to do division first.

210 ÷ 15 + 13 × 4 – 128 ÷ 16 + 15

= 14 + 13 × 4 – 8 + 15

Now Multiplication

14 + 13 × 4 – 8 + 15 = 14 + 52 – 8 + 15

Now addition

14 + 52 – 8 + 15 = 81 – 8

Lastly subtraction

81 – 8 = 73

2. Calculate: [50 + {  – (3 x 6) + 6}]

Solution: According to the Pemdas rule, we have to solve the expressions within common brackets first.

[50 + {  – (3 x 6) + 6}] = [50 + {  – 18 + 6}]

Next, we have to solve the expressions within flower brackets. For this, we have to begin solving by the root, followed by addition and subtraction.

[50 + {  – 18 + 6}] = [50 + {9 – 18 + 6}] = [50 + {15 – 18}] = [50 – 3]

Finally solve the square bracket expressions.

[50 – 3] = 47.

So the final answer for [50 + {  – (3 x 6) + 6}] is 47.

3. Find the value of 10000 – 60 × 45 + 625 ÷ 25.

Solution: As per pemdas rule, we have to carry out division first

10000 – 60 × 45 + 625 ÷ 25 = 10000 – 60 × 45 + 25

Next multiplication,

10000 – 60 × 45 + 25 = 10000 – 2700 + 25

Now subtraction

10000 – 2700 + 25 = 7300 + 25

Last addition

7300 + 25 = 7325

Note: Just because M precedes D in the Pemdas rule doesn’t mean you always have to multiply it before division. Similarly, addition need not be performed before subtraction always.

This ends the PEMDAS rule topic. I learned about the PEMDAS rule in my math class, the tricks taught in math classes helped me in cracking the competitive exams. The concepts were so clearly taught that you won’t forget them throughout your lifetime. Usually, we fail at relating math concepts to real-life activities, but math classes eased my difficulty by involving live examples. To learn more about math, I recommend cuemath. It is the best among the available math classes as per my knowledge.

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