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 sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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What is the square root of 0.25?

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If 2x - 3 = 7, what is the value of x?

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

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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