Order of Operations

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What is the Order of Operations?

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The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

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What does the term 'quotient' mean?

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The quotient is the result of dividing one number by another. For example, in the expression 36 ÷ 6, the quotient is 6.

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What does 'fewer than' indicate in a mathematical expression?

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'Fewer than' indicates subtraction. For example, '4 fewer than 11' means 11 - 4.

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What does 'more than' indicate in a mathematical expression?

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'More than' indicates addition. For example, '8 more than 12' means 12 + 8.

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What is the product in mathematics?

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The product is the result of multiplying two or more numbers together. For example, in the expression 11 x 8, the product is 88.

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What does the term 'expression' mean in mathematics?

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An expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷) that represents a value. For example, 3 + 4 is an expression.

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What is the difference between an equation and an expression?

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An equation is a statement that two expressions are equal, often containing an equals sign (=). An expression does not have an equals sign and does not show equality.

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What is the significance of parentheses in mathematical expressions?

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Parentheses indicate that the operations inside them should be performed first according to the Order of Operations.

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What does 'x' represent in mathematics?

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'x' is often used as a variable to represent an unknown number in an expression or equation.

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How do you solve an expression with multiple operations?

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Follow the Order of Operations: first solve expressions in parentheses, then exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).