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 a = 4 and b = 5, what is the value of (a+b)^2?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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If x = 2 and y = 3, what is the value of (x^2 + y^2)?

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

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If x - y = 5 and x + y = 15, what is the value of x?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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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 train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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