Numerical Expressions

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What is a numerical expression?

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A numerical expression is a mathematical phrase that includes numbers and operations (such as addition, subtraction, multiplication, and division) but does not include an equal sign.

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How do you represent the difference of two numbers in a numerical expression?

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The difference of two numbers is represented by subtracting one number from another, using the minus sign (-). For example, the difference of 25 and 10 is written as 25 - 10.

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What is the sum of two numbers in a numerical expression?

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The sum of two numbers is represented by adding them together, using the plus sign (+). For example, the sum of 15 and 6 is written as 15 + 6.

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How do you express 'four less than' a number in a numerical expression?

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To express 'four less than' a number, you subtract 4 from that number. For example, 'four less than the sum of 7 and 3' is written as (7 + 3) - 4.

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What does 'the quotient of two numbers' mean in a numerical expression?

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The quotient of two numbers refers to the result of dividing one number by another. For example, 'the quotient of 7 and 3' is written as 7 / 3.

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How do you express 'five times as large as' a numerical expression?

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To express 'five times as large as' a numerical expression, you multiply the expression by 5. For example, 'five times as large as the sum of 6 and 2' is written as (6 + 2) x 5.

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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. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What is the difference between an expression and an equation?

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An expression is a combination of numbers and operations without an equal sign, while an equation is a statement that two expressions are equal, containing an equal sign.

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How do you simplify a numerical expression?

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To simplify a numerical expression, perform the operations in the correct order according to the order of operations, combining like terms and reducing fractions where possible.

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What is a variable in a numerical expression?

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A variable is a symbol (often a letter) that represents an unknown value in a numerical expression or equation.