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We will follow the rules for simplifying an expression using PEMDAS rules - involving integers for solving order of operations.
Follow the order of operation as:
1. Parenthesis β Find the things inside the Parenthesis part before Exponent, Multiply, Divide, Add or Subtract.
For example:
6 Γ (11 + 3)
= 6 Γ 14
= 84
2. Exponent β Then do the Exponent part (Powers, Roots, etc.,)
before Multiply, Divide, Add or Subtract.
For example:
7 Γ 82 + 27 Γ 8 Γ 8 + 2
= 7 Γ 64 + 2
= 448 + 2
= 450
3. Multiplication/ Division β Then do Multiply or Divide part before Add or Subtract start from left to right.
For example:
5 Γ 3 + 6 Γ· 3
= 15 + 6 Γ· 3
= 15 + 2
= 17
4. Addition/Subtraction β At last do Add or Subtract start from left to right.
For example:
16 + (4 - 1) Γ 6
= 16 + 3 Γ 6
= 16 + 18
= 34
Worked-out
problems for solving PEMDAS rules - involving integers:
Simplify using PEMDAS rule:
(a) 18 - 24 Γ· 6 + 3 Γ 5
Solution:
18 - 24 Γ· 6 + 3 Γ 5
= 18 - 4 + 3 Γ 5, (Simplifying βdivisionβ 24 Γ· 6 = 4)
= 18 - 4 + 15, (Simplifying βmultiplicationβ 3 Γ 5 = 15)
= 14 + 15, (Simplifying βsubtractionβ 18 - 4 = 14)
= 29, (Simplifying βadditionβ 14 + 15 = 29)
Answer: 29
(b) 11 - [3 + 5 of (13 - 2 Γ 6)]
Solution:
11 - [3 + 5 of (13 - 2 Γ 6)]
= 11 - [3 + 5 of (13 - 12)], (Simplifying βmultiplicationβ 2 Γ 6 = 12)
= 11 - [3 + 5 of 1], (Simplifying inside the βparenthesisβ 13 - 2 = 1)
= 11 - [3 + 5 Γ 1], (Simplifying βofβ)
= 11 - [3 + 5], (Simplifying βmultiplicationβ 5 Γ 1 = 5)
= 11 - 8, (Simplifying βaddβ inside the βsquare bracketsβ 3 + 5 = 8)
= 3, (Simplifying βsubtractionβ 11 - 8 = 3)
Answer: 3
(c) 22 - 4 of (7 - 2) + 4 Γ 5
Solution:
22 - 4 of (7 - 2) + 4 Γ 5
= 22 - 4 of 5 + 4 Γ 5, (Simplifying inside the βparenthesisβ 7 - 2 = 5)
= 22 - 4 Γ 5 + 4 Γ 5
= 22 - 20 + 4 Γ 5, (Simplifying βofβ 4 Γ 5 = 20)
= 22 - 20 + 20, (Simplifying βmultiplicationβ 4 Γ 5 = 20)
= 2 + 20, (Simplifying βsubtractionβ 22 - 20 = 2)
= 22, (Simplifying βadditionβ 2 + 20 = 22)
Answer: 22
β Related Concept
β Decimals
β Decimal Numbers
β Decimal Places
β Conversion of Unlike Decimals to Like Decimals
β Decimal and Fractional Expansion
β Converting Decimals to Fractions
β Converting Fractions to Decimals
β H.C.F. and L.C.M. of Decimals
β Repeating or Recurring Decimal
β BODMAS Rule
β BODMAS/PEMDAS Rules - Involving Decimals
β PEMDAS Rules - Involving Integers
β PEMDAS Rules - Involving Decimals
β PEMDAS Rule
β BODMAS Rules - Involving Integers
β Conversion of Pure Recurring Decimal into Vulgar Fraction
β Conversion of Mixed Recurring Decimals into Vulgar Fractions
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