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

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What is the sum of all angles in a hexagon?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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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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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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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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