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

A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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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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If x^2 - 6x + 9 = 0, what is the value of x?

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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 a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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The LCM of 12 and 15 is:

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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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