Topic Details (Notes format)

How to Evaluate Expressions Using Order of Operations (PEMDAS/BODMAS)

Subject: Mathematics

Book: Maths Mastery

PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) or BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) clarifies the sequence in which to tackle operations. For example, to evaluate 3 + 2 × (5 – 2)², start inside parentheses: (5 – 2) = 3, then exponents: 3² = 9, next multiplication: 2 × 9 = 18, and finally addition: 3 + 18 = 21. Following this strict hierarchy prevents confusion and ensures consistent results across all math problems. This concept underpins everything from basic arithmetic to advanced algebra, guaranteeing accurate calculations in daily life—like computing tax on multiple items or analyzing complex spreadsheet formulas.

Practice Questions

If x^2 + 4x + 4 = 0, what is the value of x?

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The probability of getting an even number when rolling a die is:

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A cube has a side length of 4 cm. What is its volume?

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A sphere has a radius of 7 cm. What is its volume?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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What is the area of an equilateral triangle with side length 10 cm?

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