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We will obey the rules for simplifying an expression using BODMAS rules - involving integers for solving order of operations.
Follow the order of operation as:
1. Bracket β Solve inside the Brackets before Of, Multiply, Divide, Add or Subtract.
For example:
7 Γ (15 + 5)
= 7 Γ 20
= 140
2. Of β Then, solve Of part
(Powers, Roots, etc.,) before Multiply, Divide, Add or Subtract.
For example:
6 + 3 of 7 - 5
= 6 + 3 Γ 7 - 5
= 6 + 21 - 5
= 27 - 5
= 22
3. Division/Multiplication β Then, calculate Multiply or Divide before Add or Subtract start from left to right.
For example:
20 + 21 Γ· 3 Γ 2
= 20 + 7 Γ 2
= 20 + 14
= 34
4. Addition/Subtraction β At last Add or Subtract start from left to right.
17 + (8 - 5) Γ 5
= 17 + 3 Γ 5
= 17 + 15
= 32
Worked-out problems for solving BODMAS rules - involving integers:
Simplify using BODMAS rule:
(a) 25 - 48 Γ· 6 + 12 Γ 2
Solution:
25 - 48 Γ· 6 + 12 Γ 2
= 25 - 8 + 12 Γ 2, (Simplifying βdivisionβ 48 Γ· 6 = 8)
= 25 - 8 + 24, (Simplifying βmultiplicationβ 12 Γ 2 = 24)
= 17 + 24, (Simplifying βsubtractionβ 25 - 8 = 17)
= 41, (Simplifying βadditionβ 17 + 24 = 41)
Answer: 41
(b) 78 - [5 + 3 of (25 - 2 Γ 10)]
Solution:
78 - [5 + 3 of (25 - 2 Γ 10)]
= 78 - [5 + 3 of (25 - 20)], (Simplifying βmultiplicationβ 2 Γ 10 = 20)
= 78 - [5 + 3 of 5], (Simplifying βsubtractionβ 25 - 20 = 5)
= 78 - [5 + 3 Γ 5], (Simplifying βofβ)
= 78 - [5 + 15], (Simplifying βmultiplicationβ 3 Γ 5 = 15)
= 78 - 20, (Simplifying βadditionβ 5 + 15 = 20)
= 58, (Simplifying βsubtractionβ 78 - 20 = 58)
Answer: 58
(c) 52 - 4 of (17 - 12) + 4 Γ 7
Solution:
52 - 4 of (17 - 12) + 4 Γ 7
= 52 - 4 of 5 + 4 Γ 7, (Simplifying βparenthesisβ 17 - 12 = 5)
= 52 - 4 Γ 5 + 4 Γ 7, (Simplifying βofβ)
= 52 - 20 + 4 Γ 7, (Simplifying βmultiplicationβ 4 Γ 5 = 20)
= 52 - 20 + 28, (Simplifying βmultiplicationβ 4 Γ 7 = 28)
= 32 + 28, (Simplifying βsubtractionβ 52 - 20 = 32)
= 60, (Simplifying βadditionβ 32 + 28 = 60)
Answer: 60
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
β Rounding Decimals to the Nearest Whole Number
β Rounding Decimals to the Nearest Tenths
β Rounding Decimals to the Nearest Hundredths
β Round a Decimal
β Adding Decimals
β Simplify Decimals Involving Addition and Subtraction Decimals
β Multiplying Decimal by a Decimal Number
β Multiplying Decimal by a Whole Number
β Dividing Decimal by a Whole Number
β Dividing Decimal by a Decimal Number
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