Absolute Value & Order of Operations

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What is the definition of absolute value?

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The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

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5

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3

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What is the order of operations in mathematics?

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The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

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14 (because multiplication is performed before addition).

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16 (because operations inside parentheses are performed first).

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6 (|2 - 5| = 3, then 3 + 3 = 6).

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8 (4 + 2(-6) = 4 - 12 = -8, and | -8 | = 8).

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2 (|2 + 7 - 1| = |8| = 8, then 8 ÷ 4 = 2).

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-3 (2 + 2×5 = 12, 10 - 2^2 = 6, then 12 ÷ 6 = 2, and 2 - 5 = -3).