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 the length of a rectangle is doubled and the width is halved, what is the change in area?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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What is the sum of all angles in a hexagon?

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What is the value of x if log(x) + log(4) = log(32)?

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If a number is divisible by 9, it is also divisible by which of the following?

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

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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

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What is the cube of 4?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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